P. T. Deutermann

The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.

Largest known primes

These numbers have been proved prime by computer with a primality test for their form, for example the Lucas–Lehmer primality test for Mersenne numbers. “!” is the factorial, “#” is the primorial, and $\Phi _{3}(x)$ is the third cyclotomic polynomial, defined as $x^{2}+x+1$ .

Rank^[1]^[2]	Number	Discovery date	Decimal digits
1	2^136279841 − 1 ^[3]	12 October 2024	41,024,320
2	2^82589933 − 1 ^[4]	7 December 2018	24,862,048
3	2^77232917 − 1 ^[5]	26 December 2017	23,249,425
4	2^74207281 − 1 ^[6]	7 January 2016	22,338,618
5	2^57885161 − 1 ^[7]	25 January 2013	17,425,170
6	2^43112609 − 1 ^[8]	23 August 2008	12,978,189
7	2^42643801 − 1 ^[9]	4 June 2009	12,837,064
8	$\Phi _{3}(-516693^{1048576})$ ^[10]	2 October 2023	11,981,518
9	$\Phi _{3}(-465859^{1048576})$ ^[11]	31 May 2023	11,887,192
10	2^37156667 − 1 ^[8]	6 September 2008	11,185,272
11	2^32582657 − 1 ^[12]	4 September 2006	9,808,358
12	10223×2^31172165 + 1 ^[13]	31 October 2016	9,383,761
13	2^30402457 − 1 ^[14]	15 December 2005	9,152,052
14	4×5^11786358 + 1	1 October 2024	8,238,312
15	2^25964951 − 1 ^[15]	18 February 2005	7,816,230
16	4052186×69^4052186 + 1 ^[16]	16 April 2025	7,451,366
17	69×2^24612729 − 1	13 August 2024	7,409,172
18	2^24036583 − 1 ^[17]	15 May 2004	7,235,733
19	107347×2^23427517 − 1	4 August 2024	7,052,391
20	3×2^23157875 − 1 ^[18]	25 June 2025	6,971,216
21	3843236^1048576 + 1 ^[19]	17 December 2024	6,904,556
22	3×2^22103376 − 1 ^[20]	30 September 2024	6,653,780
23	1963736^1048576 + 1 ^[21]	24 September 2022	6,598,776
24	1951734^1048576 + 1 ^[22]	9 August 2022	6,595,985
25	202705×2^21320516 + 1 ^[23]	25 November 2021	6,418,121
26	2^20996011 − 1 ^[24]	17 November 2003	6,320,430
27	1059094^1048576 + 1 ^[25]	31 October 2018	6,317,602
28	3×2^20928756 − 1 ^[26]	5 July 2023	6,300,184
29	919444^1048576 + 1 ^[27]	29 August 2017	6,253,210
30	81×2^20498148 + 1	13 June 2023	6,170,560
31	7×2^20267500 + 1	21 July 2022	6,101,127
32	4×5^8431178 + 1	2 January 2024	5,893,142
33	168451×2^19375200 + 1 ^[28]	17 September 2017	5,832,522
34	69×2^19374980 − 1	3 July 2022	5,832,452
35	3×2^18924888 − 1 ^[29]	24 March 2022	5,696,990
36	69×2^18831865 − 1	16 December 2021	5,668,959
37	2×3^11879700 + 1	22 June 2024	5,668,058
38	97139×2^18397548 − 1	23 April 2023	5,538,219
39	7×2^18233956 + 1	1 October 2020	5,488,969
40	3×2^18196595 − 1 ^[30]	8 January 2022	5,477,722
41	4×3^11279466 + 1	10 September 2024	5,381,674
42	3×2^17748034 − 1 ^[31]	6 September 2021	5,342,692
43	$\Phi _{3}(-123447^{524288})$	23 February 2017	5,338,805
44	3622×5^7558139 − 1	18 February 2022	5,282,917
45	7×6^6772401 + 1	9 September 2019	5,269,954
46	2×3^10852677 + 1	8 January 2023	5,178,044
47	8508301×2^17016603 − 1 ^[32]	21 March 2018	5,122,515
48	8×10^5112848 − 1	30 January 2024	5,112,848
49	13×2^16828072 + 1	11 October 2023	5,065,756
50	3×2^16819291 − 1 ^[33]	20 January 2021	5,063,112
51	5287180×3^10574360 − 1	3 November 2024	5,045,259
52	3×2^16408818 + 1 ^[34]	25 October 2020	4,939,547
53	2329989×2^16309923 − 1	13 February 2024	4,909,783
54	69×2^15866556 + 1	20 August 2021	4,776,312
55	2036×3^10009192 + 1	15 February 2024	4,775,602
56	2525332×73^2525332 + 1 ^[35]	28 August 2021	4,705,888
57	1419499×2^15614489 + 1	9 February 2024	4,700,436
58	11×2^15502315 + 1	8 January 2023	4,666,663
59	(10^2332974 + 1)² − 2	20 February 2024	4,665,949
60	37×2^15474010 + 1	8 November 2022	4,658,143
61	93839×2^15337656 − 1	28 November 2022	4,617,100
62	2^15317227+2^7658614 + 1	31 July 2020	4,610,945
63	13×2^15294536 + 1	30 September 2023	4,604,116
64	6×5^6546983 + 1	13 June 2020	4,576,146
65	4788920×3^9577840 − 1	14 February 2024	4,569,798
66	31×2^15145093 − 1	9 February 2025	4,559,129
67	69×2^14977631 − 1	3 December 2021	4,508,719
68	192971×2^14773498 − 1	7 March 2021	4,447,272
69	4×3^9214845 + 1	10 September 2024	4,396,600
70	9145334×3^9145334 + 1	25 December 2023	4,363,441
71	4×5^6181673 − 1	15 July 2022	4,320,805
72	396101×2^14259638 − 1	3 February 2024	4,292,585
73	6962×31^2863120 − 1	29 February 2020	4,269,952
74	37×2^14166940 + 1	24 June 2022	4,264,676
75	99739×2^14019102 + 1 ^[36]	24 December 2019	4,220,176
76	69×2^13832885 − 1	17 January 2022	4,164,116
77	9562633# + 1	25 June 2025	4,151,498
78	404849×2^13764867 + 1	10 March 2021	4,143,644
79	25×2^13719266 + 1	20 September 2022	4,129,912
80	81×2^13708272 + 1	11 October 2022	4,126,603
81	2740879×2^13704395 − 1	26 October 2019	4,125,441
82	479216×3^8625889 − 1	16 November 2019	4,115,601
83	13×2^13584543 − 1	30 May 2025	4,089,357
84	31×2^13514933 − 1	9 February 2025	4,068,402
85	$\Phi _{3}(-143332^{393216})$	30 January 2017	4,055,114
86	81×2^13470584 + 1	9 October 2022	4,055,052
87	2^13466917 − 1 ^[37]	14 November 2001	4,053,946
88	5778486×5^5778486 + 1	15 August 2024	4,038,996
89	9×2^13334487 + 1	31 March 2020	4,014,082
90	206039×2^13104952 − 1	26 April 2021	3,944,989
91	2805222×5^5610444 + 1 ^[38]	2 September 2019	3,921,539
92	5128×22^2919993 + 1	5 December 2024	3,919,869
93	19249×2^13018586 + 1 ^[39]	26 March 2007	3,918,990
94	2293×2^12918431 − 1	13 February 2021	3,888,839
95	81×2^12804541 + 1	19 September 2022	3,854,553
96	67612×5^5501582 + 1 ^[40]	8 April 2025	3,845,446
97	15852200⁵²⁴²⁸⁸ + 1 ^[41]	9 July 2025	3,774,921
98	4×5^5380542 + 1	22 February 2023	3,760,839
99	13520762⁵²⁴²⁸⁸ + 1 ^[42]	25 February 2025	3,738,699
100	13427472⁵²⁴²⁸⁸ + 1 ^[43]	3 March 2025	3,737,122
101	9×2^12406887 + 1	29 March 2020	3,734,847
102	12900356⁵²⁴²⁸⁸ + 1 ^[44]	22 January 2025	3,728,004
103	12693488⁵²⁴²⁸⁸ + 1 ^[45]	6 January 2025	3,724,323
104	11937916⁵²⁴²⁸⁸ + 1 ^[46]	5 October 2024	3,710,349
105	7×2^12286041 − 1	10 June 2023	3,698,468
106	10913140⁵²⁴²⁸⁸ + 1 ^[47]	19 June 2024	3,689,913
107	69×2^12231580 − 1	27 July 2021	3,682,075
108	27×2^12184319 + 1	6 February 2021	3,667,847
109	9332124⁵²⁴²⁸⁸ + 1 ^[48]	22 June 2024	3,654,278
110	8630170⁵²⁴²⁸⁸ + 1 ^[49]	13 April 2024	3,636,472
111	863282×5^5179692 − 1	17 October 2024	3,620,456
112	670490×12^3352450 − 1	17 October 2024	3,617,907
113	4×3^7578378 + 1	9 September 2024	3,615,806
114	11×2^11993994 − 1	15 August 2024	3,610,554
115	3761×2^11978874 − 1	6 July 2022	3,606,004
116	95×2^11954552 − 1	28 May 2024	3,598,681
117	259072×5^5136295 − 1	28 October 2024	3,590,122
118	3×2^11895718 − 1 ^[50]	23 June 2015	3,580,969
119	37×2^11855148 + 1	30 May 2022	3,568,757
120	6339004⁵²⁴²⁸⁸ + 1 ^[51]	8 June 2023	3,566,218
121	763795×6^4582771 + 1	11 December 2023	3,566,095
122	5897794⁵²⁴²⁸⁸ + 1 ^[39]	18 December 2022	3,549,792
123	3×2^11731850 − 1 ^[52]	13 March 2015	3,531,640
124	69×2^11718455 − 1 ^[39]	4 December 2020	3,527,609
125	8629×2^11708579 − 1	19 September 2024	3,524,638
126	41×2^11676439 + 1 ^[39]	20 June 2022	3,514,960
127	4896418⁵²⁴²⁸⁸ + 1 ^[53]	15 May 2022	3,507,424
128	81×2^11616017 + 1 ^[39]	30 August 2022	3,496,772
129	69×2^11604348 − 1 ^[39]	4 December 2020	3,493,259
130	4450871×6^4450871 + 1 ^[39]	17 September 2023	3,463,458
131	9×2^11500843 + 1 ^[39]	13 March 2020	3,462,100
132	3×2^11484018 − 1 ^[54]	22 November 2014	3,457,035
133	193997×2^11452891 + 1 ^[55]	3 April 2018	3,447,670
134	29914×5^4930904 + 1	27 September 2024	3,446,559
135	3638450⁵²⁴²⁸⁸ + 1 ^[56]	29 May 2020	3,439,810
136	9221×2^11392194 − 1 ^[57]	7 February 2021	3,429,397
137	9×2^11366286 + 1	26 March 2020	3,421,594
138	5×2^11355764 − 1	2 October 2021	3,418,427
139	732050×6^4392301 + 1	9 September 2023	3,417,881
140	3214654⁵²⁴²⁸⁸ + 1 ^[58]	24 December 2019	3,411,613
141	632760! − 1	20 October 2024	3,395,992
142	146561×2^11280802 − 1 ^[59]	16 November 2020	3,395,865
143	51208×5^4857576 + 1	6 June 2024	3,395,305
144	2985036⁵²⁴²⁸⁸ + 1 ^[60]	18 September 2019	3,394,739
145	4591×2^11270837 − 1	2 January 2025	3,392,864
146	6929×2^11255424 − 1	7 July 2022	3,388,225
147	2877652⁵²⁴²⁸⁸ + 1 ^[61]	29 June 2019	3,386,397
148	2788032⁵²⁴²⁸⁸ + 1 ^[62]	17 April 2019	3,379,193
149	2733014⁵²⁴²⁸⁸ + 1 ^[63]	18 March 2019	3,374,655
150	9×2^11158963 + 1	13 March 2020	3,359,184
151	9271×2^11134335 − 1	17 January 2021	3,351,773
152	136804×5^4777253 − 1	1 March 2024	3,339,162
153	2312092⁵²⁴²⁸⁸ + 1 ^[64]	4 August 2018	3,336,572
154	987324×48^1974648 − 1	12 October 2024	3,319,866
155	2061748⁵²⁴²⁸⁸ + 1 ^[65]	20 March 2018	3,310,478
156	1880370⁵²⁴²⁸⁸ + 1 ^[66]	15 January 2018	3,289,511
157	27×2^10902757 − 1	7 March 2022	3,282,059
158	3×2^10829346 + 1 ^[67]	14 January 2014	3,259,959
159	11×2^10803449 + 1	29 May 2022	3,252,164
160	11×2^10797109 + 1	29 May 2022	3,250,255
161	7×2^10612737 − 1	19 May 2022	3,194,154
162	7351117# + 1	14 September 2024	3,191,401
163	37×2^10599476 + 1	17 June 2022	3,190,762
164	5×2^10495620 − 1	26 September 2021	3,159,498
165	${\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}$	30 June 2023	3,153,105
166	5×2^10349000 − 1	26 September 2021	3,115,361
167	$\Phi _{3}(-844833^{262144})$	17 January 2017	3,107,335
168	52922×5^4399812 − 1	3 August 2023	3,075,342
169	$\Phi _{3}(-712012^{262144})$	14 January 2017	3,068,389
170	177742×5^4386703 − 1	24 July 2023	3,066,180
171	4×3^6402015 + 1	9 September 2024	3,054,539
172	874208×54^1748416 − 1	26 September 2019	3,028,951
173	475856⁵²⁴²⁸⁸ + 1 ^[68]	8 August 2012	2,976,633
174	2×3^6236772 + 1	20 December 2022	2,975,697
175	15×3^9830108 + 1	19 August 2023	2,959,159
176	9×2^9778263 + 1	5 August 2020	2,943,552
177	198×558^1061348 + 1	30 August 2024	2,915,138
178	1806676×41^1806676 + 1	11 March 2018	2,913,785
179	356926⁵²⁴²⁸⁸ + 1 ^[69]	20 June 2012	2,911,151
180	341112⁵²⁴²⁸⁸ + 1 ^[70]	15 June 2012	2,900,832
181	213988×5^4138363 − 1	29 November 2022	2,892,597
182	43×2^9596983 − 1	28 February 2022	2,888,982
183	121×2^9584444 + 1 ^[71]	18 November 2020	2,885,208
184	15×2^9482269 − 1	14 August 2024	2,854,449
185	6533299# − 1	18 August 2024	2,835,864
186	11×2^9381365 + 1	7 March 2020	2,824,074
187	15×2^9312889 + 1	7 August 2023	2,803,461
188	97×2^9305542 + 1	10 May 2025	2,801,250
189	93×2^9235048 + 1	7 May 2025	2,780,029
190	49×2^9187790 + 1	11 September 2022	2,765,803
191	6369619# + 1	12 August 2024	2,765,105
192	27653×2^9167433 + 1 ^[39]	8 June 2005	2,759,677
193	6354977# − 1	12 August 2024	2,758,832
194	90527×2^9162167 + 1	30 June 2010	2,758,093
195	6795×2^9144320 − 1	31 March 2021	2,752,719
196	31×2^9088085 − 1	27 August 2024	2,735,788
197	75×2^9079482 + 1	25 July 2023	2,733,199
198	1323365×116^1323365 + 1 ^[72]	18 January 2018	2,732,038
199	57×2^9075622 − 1	7 August 2022	2,732,037
200	10^2718281 − 5×10^1631138 − 5×10^1087142 − 1	6 August 2024	2,718,281
201	63838×5^3887851 − 1 ^[73]	19 June 2022	2,717,497
202	13×2^8989858 + 1	10 March 2020	2,706,219
203	4159×2^8938471 − 1	19 April 2022	2,690,752
204	273809×2^8932416 − 1 ^[74]	13 December 2017	2,688,931
205	93×2^8898285 + 1	4 March 2024	2,678,653
206	2×3^5570081 + 1	14 February 2020	2,657,605
207	25×2^8788628 + 1 ^[75]	1 March 2021	2,645,643
208	2038×366^1028507 − 1 ^[76]	4 April 2016	2,636,562
209	64598×5^3769854 − 1	14 June 2022	2,635,020
210	63×2^8741225 + 1	6 May 2024	2,631,373
211	8×785⁹⁰⁰³²⁵ + 1	4 June 2022	2,606,325
212	17×2^8636199 + 1 ^[77]	17 February 2021	2,599,757
213	75898⁵²⁴²⁸⁸ + 1 ^[78]	19 November 2011	2,558,647
214	25×2^8456828 + 1 ^[79]	27 January 2021	2,545,761
215	39×2^8413422 + 1 ^[80]	23 January 2021	2,532,694
216	31×2^8348000 + 1 ^[81]	19 January 2021	2,513,000
217	27×2^8342438 − 1 ^[82]	1 February 2021	2,511,326
218	3867×2^8261084 − 1	14 April 2021	2,486,838
219	101×2^8152967 + 1	2 December 2023	2,454,290
220	9×2^8128075 − 1	8 July 2025	2,446,796
221	273662×5^3493296 − 1 ^[83]	7 December 2021	2,441,715
222	81×2^8109236 + 1	9 September 2022	2,441,126
223	11×2^8103463 + 1	6 March 2020	2,439,387
224	102818×5^3440382 − 1 ^[84]	8 October 2021	2,404,729
225	9×2^7979119 − 1	8 July 2025	2,401,956
226	11×2^7971110 − 1	25 November 2019	2,399,545
227	27×2^7963247 + 1 ^[85]	14 January 2021	2,397,178
228	3177×2^7954621 − 1	13 June 2021	2,394,584
229	39×2^7946769 + 1 ^[86]	14 January 2021	2,392,218
230	7×6^3072198 + 1	4 August 2019	2,390,636
231	3765×2^7904593 − 1	10 January 2021	2,379,524
232	29×2^7899985 + 1 ^[87]	14 January 2021	2,378,134
233	5113×2^7895471 − 1	27 November 2022	2,376,778
234	861×2^7895451 − 1	21 February 2021	2,376,771
235	75×2^7886683 + 1	4 September 2023	2,374,131
236	2661×2^7861390 − 1	28 December 2024	2,366,518
237	99×2^7830910 + 1	24 April 2024	2,357,341
238	28433×2^7830457 + 1 ^[39]	31 December 2004	2,357,207
239	2589×2^7803339 − 1	21 August 2022	2,349,043
240	59×2^7792307 + 1	24 April 2024	2,345,720
241	101×2^7784453 + 1	24 April 2024	2,343,356
242	95×2^7778585 + 1	24 April 2024	2,341,590
243	8401×2^7767655 − 1	24 April 2023	2,338,302
244	9693×2^7767343 − 1	17 November 2023	2,338,208
245	5×2^7755002 − 1	23 September 2021	2,334,489
246	2945×2^7753232 − 1	27 November 2022	2,333,959
247	2×836⁷⁹⁸⁴³¹ + 1	10 September 2024	2,333,181
248	63×2^7743186 + 1	24 April 2024	2,330,934
249	2545×2^7732265 − 1	13 January 2021	2,327,648
250	5539×2^7730709 − 1	15 January 2021	2,327,180
251	4817×2^7719584 − 1	13 June 2021	2,323,831
252	183×558⁸⁴²⁷⁵² + 1	23 August 2024	2,314,734
253	1341174×53^1341174 + 1 ^[88]	21 August 2017	2,312,561
254	9467×2^7680034 − 1	20 February 2022	2,311,925
255	45×2^7661004 + 1 ^[89]	13 December 2020	2,306,194
256	15×2^7619838 + 1 ^[90]	6 December 2020	2,293,801
257	3597×2^7580693 − 1	10 January 2021	2,282,020
258	5256037# + 1	6 August 2024	2,281,955
259	3129×2^7545557 − 1	14 March 2023	2,271,443
260	7401×2^7523295 − 1	21 February 2021	2,264,742
261	45×2^7513661 + 1 ^[91]	12 November 2020	2,261,839
262	$\Phi _{3}(-558640^{196608})$	11 January 2017	2,259,865
263	2739×2^7483537 − 1	1 May 2025	2,252,773
264	9×2^7479919 − 1	3 June 2023	2,251,681
265	1875×2^7474308 − 1	21 August 2022	2,249,995
266	69×2^7452023 + 1	23 March 2023	2,243,285
267	1281879×2^7447178 + 1	27 December 2023	2,241,831
268	9107×2^7417464 − 1	3 May 2025	2,232,884
269	4×5^3189669 − 1	12 July 2022	2,229,484
270	29×2^7374577 + 1 ^[92]	27 October 2020	2,219,971
271	2653×2^7368343 − 1	18 September 2024	2,218,096
272	21555×2^7364128 − 1	4 September 2024	2,216,828
273	3197×2^7359542 − 1	27 November 2022	2,215,447
274	109838×5^3168862 − 1 ^[93]	13 August 2020	2,214,945
275	95×2^7354869 + 1	25 September 2023	2,214,039
276	101×2^7345194 − 1	5 October 2019	2,211,126
277	85×2^7333444 + 1	25 September 2023	2,207,589
278	15×2^7300254 + 1 ^[94]	25 October 2020	2,197,597
279	422429! + 1	21 February 2022	2,193,027
280	1759×2^7284439 − 1	28 August 2021	2,192,838
281	1909683×14^1909683 + 1	27 May 2023	2,188,748
282	737×2^7269322 − 1	10 August 2017	2,188,287
283	6909×2^7258896 − 1	18 September 2024	2,185,150
284	93×2^7241494 + 1	25 September 2023	2,179,909
285	118568×5^3112069 + 1 ^[95]	1 May 2020	2,175,248
286	4215×2^7221386 − 1	27 December 2024	2,173,858
287	40×257⁹⁰¹⁶³² + 1	11 September 2024	2,172,875
288	1685×2^7213108 − 1	13 April 2025	2,171,366
289	580633×2^7208783 − 1	15 February 2024	2,170,066
290	6039×2^7207973 − 1	24 March 2021	2,169,820
291	502573×2^7181987 − 1 ^[96]	4 October 2014	2,162,000
292	402539×2^7173024 − 1 ^[97]	2 October 2014	2,159,301
293	3343×2^7166019 − 1	29 September 2016	2,157,191
294	4137×2^7132569 − 1	11 April 2025	2,147,121
295	161041×2^7107964 + 1 ^[98]	6 January 2015	2,139,716
296	294×213⁹¹⁸⁹⁵² − 1	19 September 2023	2,139,672
297	27×2^7046834 + 1 ^[99]	11 October 2018	2,121,310
298	1759×2^7046791 − 1	28 August 2021	2,121,299
299	327×2^7044001 − 1	13 January 2021	2,120,459
300	5×2^7037188 − 1	22 September 2021	2,118,406
301	3×2^7033641 + 1 ^[100]	21 February 2011	2,117,338
302	625783×2^7031319 − 1	10 February 2024	2,116,644
303	33661×2^7031232 + 1 ^[39]	30 October 2007	2,116,617
304	$\Phi _{3}(-237804^{196608})$	6 January 2017	2,114,016
305	207494×5^3017502 − 1	16 March 2020	2,109,149
306	15×2^6993631 − 1	25 August 2021	2,105,294
307	8943501×2^6972593 − 1	8 January 2022	2,098,967
308	6020095×2^6972593 − 1	4 September 2022	2,098,967
309	2^6972593 − 1 ^[101]	1 June 1999	2,098,960
310	273×2^6963847 − 1	16 November 2022	2,096,330
311	6219×2^6958945 − 1	7 January 2021	2,094,855
312	51×2^6945567 + 1	26 May 2020	2,090,826
313	8×10^2084563 − 1	1 June 2025	2,084,564
314	3323×2^6921196 − 1	18 September 2024	2,083,492
315	238694×5^2979422 − 1 ^[102]	12 March 2020	2,082,532
316	4×72^1119849 − 1 ^[76]	7 September 2016	2,079,933
317	129×2^6900230 + 1	5 June 2025	2,077,179
318	33×2^6894190 − 1	27 July 2021	2,075,360
319	4778027# − 1	31 July 2024	2,073,926
320	105×2^6884697 + 1	2 June 2025	2,072,503
321	2345×2^6882320 − 1	13 April 2022	2,071,789
322	57×2^6857990 + 1	17 August 2023	2,064,463
323	146264×5^2953282 − 1 ^[103]	9 March 2020	2,064,261
324	69×2^6838971 − 1	1 March 2020	2,058,738
325	35816×5^2945294 − 1 ^[104]	5 March 2020	2,058,677
326	127×2^6836153 − 1	25 June 2018	2,057,890
327	105×2^6835099 + 1	26 May 2025	2,057,572
328	19×2^6833086 + 1 ^[105]	24 October 2020	2,056,966
329	66498472²⁶²¹⁴⁴ + 1	8 July 2025	2,050,704
330	66342922²⁶²¹⁴⁴ + 1	4 July 2025	2,050,437
331	66266188²⁶²¹⁴⁴ + 1	3 July 2025	2,050,305
332	65×2^6810465 + 1	22 September 2023	2,050,157
333	40597×2^6808509 − 1 ^[106]	25 December 2013	2,049,571
334	283×2^6804701 − 1	19 January 2020	2,048,431
335	65136498²⁶²¹⁴⁴ + 1	20 June 2025	2,048,348
336	64989720²⁶²¹⁴⁴ + 1	18 June 2025	2,048,091
337	64074894²⁶²¹⁴⁴ + 1	30 May 2025	2,046,447
338	64010198²⁶²¹⁴⁴ + 1	30 May 2025	2,046,362
339	63833640²⁶²¹⁴⁴ + 1	27 May 2025	2,046,047
340	8×10^2045966 − 1	31 May 2025	2,045,967
341	63784742²⁶²¹⁴⁴ + 1	26 May 2025	2,045,960
342	63558122²⁶²¹⁴⁴ + 1	27 May 2025	2,045,555
343	63448958²⁶²¹⁴⁴ + 1	22 May 2025	2,045,359
344	63286690²⁶²¹⁴⁴ + 1	19 May 2025	2,045,068
345	62767176²⁶²¹⁴⁴ + 1	9 May 2025	2,044,129
346	62747994²⁶²¹⁴⁴ + 1	9 May 2025	2,044,095
347	1861209×2^6789999 + 1	2 December 2020	2,044,000
348	5817×2^6789459 − 1	9 January 2021	2,043,835
349	62311952²⁶²¹⁴⁴ + 1	3 May 2025	2,043,301
350	62199610²⁶²¹⁴⁴ + 1	5 May 2025	2,043,095
351	62152830²⁶²¹⁴⁴ + 1	1 May 2025	2,043,010
352	62136706²⁶²¹⁴⁴ + 1	2 May 2025	2,042,980
353	8435×2^6786180 − 1	7 January 2021	2,042,848
354	61238184²⁶²¹⁴⁴ + 1	21 April 2025	2,041,322
355	119×2^6777781 + 1	18 May 2025	2,040,318
356	59145944²⁶²¹⁴⁴ + 1	29 March 2025	2,037,364
357	58936230²⁶²¹⁴⁴ + 1	28 March 2025	2,036,960
358	58870004²⁶²¹⁴⁴ + 1	28 March 2025	2,036,832
359	58846688²⁶²¹⁴⁴ + 1	28 March 2025	2,036,787
360	58333324²⁶²¹⁴⁴ + 1	28 March 2025	2,035,789
361	58288282²⁶²¹⁴⁴ + 1	28 March 2025	2,035,701
362	57643582²⁶²¹⁴⁴ + 1	28 March 2025	2,034,435
363	57594478²⁶²¹⁴⁴ + 1	28 March 2025	2,034,338
364	57478518²⁶²¹⁴⁴ + 1	28 March 2025	2,034,108
365	57429230²⁶²¹⁴⁴ + 1	27 March 2025	2,034,111
366	51×2^6753404 + 1	26 May 2020	2,032,979
367	93×2^6750726 + 1	18 September 2023	2,032,173
368	56303352²⁶²¹⁴⁴ + 1	27 March 2025	2,031,757
369	56295176²⁶²¹⁴⁴ + 1	26 March 2025	2,031,740
370	55952434²⁶²¹⁴⁴ + 1	26 March 2025	2,031,045
371	55892864²⁶²¹⁴⁴ + 1	27 March 2025	2,030,920
372	69×2^6745775 + 1	21 March 2023	2,030,683
373	55702322²⁶²¹⁴⁴ + 1	27 March 2025	2,030,535
374	55695224²⁶²¹⁴⁴ + 1	25 March 2025	2,030,520
375	55169618²⁶²¹⁴⁴ + 1	25 March 2025	2,029,441
376	55007338²⁶²¹⁴⁴ + 1	25 March 2025	2,029,105
377	54852328²⁶²¹⁴⁴ + 1	25 March 2025	2,028,784
378	54528918²⁶²¹⁴⁴ + 1	26 March 2025	2,028,111
379	54044092²⁶²¹⁴⁴ + 1	24 March 2025	2,027,094
380	53903472²⁶²¹⁴⁴ + 1	24 March 2025	2,026,797
381	53750036²⁶²¹⁴⁴ + 1	24 March 2025	2,026,473
382	53616962²⁶²¹⁴⁴ + 1	28 March 2025	2,026,191
383	53311612²⁶²¹⁴⁴ + 1	24 March 2025	2,025,540
384	53008094²⁶²¹⁴⁴ + 1	23 March 2025	2,024,890
385	52648144²⁶²¹⁴⁴ + 1	21 March 2025	2,024,115
386	52599274²⁶²¹⁴⁴ + 1	20 March 2025	2,024,009
387	52592976²⁶²¹⁴⁴ + 1	21 March 2025	2,023,995
388	117×2^6719464 + 1	10 May 2025	2,022,763
389	51992174²⁶²¹⁴⁴ + 1	16 March 2025	2,022,687
390	51852794²⁶²¹⁴⁴ + 1	14 March 2025	2,022,382
391	51714136²⁶²¹⁴⁴ + 1	13 March 2025	2,022,077
392	51283286²⁶²¹⁴⁴ + 1	9 March 2025	2,021,124
393	51125138²⁶²¹⁴⁴ + 1	7 March 2025	2,020,773
394	9995×2^6711008 − 1	31 December 2020	2,020,219
395	50454356²⁶²¹⁴⁴ + 1	1 March 2025	2,019,269
396	50449664²⁶²¹⁴⁴ + 1	28 February 2025	2,019,259
397	50366208²⁶²¹⁴⁴ + 1	28 February 2025	2,019,070
398	50121532²⁶²¹⁴⁴ + 1	27 February 2025	2,018,516
399	49536902²⁶²¹⁴⁴ + 1	25 February 2025	2,017,180
400	49235348²⁶²¹⁴⁴ + 1	23 February 2025	2,016,485
401	49209090²⁶²¹⁴⁴ + 1	23 February 2025	2,016,424
402	48055302²⁶²¹⁴⁴ + 1	18 February 2025	2,013,723
403	47707672²⁶²¹⁴⁴ + 1	16 February 2025	2,012,896
404	39×2^6684941 + 1 ^[107]	20 October 2020	2,012,370
405	47351862²⁶²¹⁴⁴ + 1	15 February 2025	2,012,044
406	47281922²⁶²¹⁴⁴ + 1	13 February 2025	2,011,876
407	47255958²⁶²¹⁴⁴ + 1	13 February 2025	2,011,813
408	6679881×2^6679881 + 1 ^[108]	25 July 2009	2,010,852
409	46831458²⁶²¹⁴⁴ + 1	11 February 2025	2,010,786
410	46378776²⁶²¹⁴⁴ + 1	8 February 2025	2,009,680
411	45073202²⁶²¹⁴⁴ + 1	21 January 2025	2,006,469
412	45007104²⁶²¹⁴⁴ + 1	19 January 2025	2,006,202
413	44819108²⁶²¹⁴⁴ + 1	14 January 2025	2,005,786
414	44666524²⁶²¹⁴⁴ + 1	12 January 2025	2,005,397
415	37×2^6660841 − 1 ^[76]	30 July 2014	2,005,115
416	44144624²⁶²¹⁴⁴ + 1	29 December 2024	2,004,059
417	44030166²⁶²¹⁴⁴ + 1	30 December 2024	2,003,764
418	43330794²⁶²¹⁴⁴ + 1	3 December 2024	2,001,941
419	39×2^6648997 + 1 ^[109]	20 October 2020	2,001,550
420	42781592²⁶²¹⁴⁴ + 1	18 November 2024	2,000,489
421	10^2000007 − 10^1127194 − 10⁸⁷²⁸¹² − 1	12 January 2024	2,000,007
422	10^2000005 − 10^1051046 − 10⁹⁴⁸⁹⁵⁸ − 1	6 January 2024	2,000,005

Largest known probable primes (PRPs)

These are probable primes. Primality has not been proven because it is too hard for general numbers of this size but they are expected to be primes. F(n) is the nth Fibonacci number.

Rank^[110]	Number	Discovery date	Decimal digits
1	${\tfrac {10^{8177207}-1}{9}}$ ^[110]	8 May 2021	8,177,207
2	${\tfrac {10^{5794777}-1}{9}}$ ^[110]	20 April 2021	5,794,777
3	${\tfrac {2^{15135397}+1}{3}}$ ^[110]	June 2021	4,556,209
4	${\tfrac {3^{8530117}-1}{2}}$ ^[110]	November 2023	4,069,900
5	2^13380298 − 27 ^[110]	March 2021	4,027,872
6	${\tfrac {2^{13372531}+1}{3}}$ ^[110]	September 2013	4,025,533
7	${\tfrac {2^{13347311}+1}{3}}$ ^[110]	September 2013	4,017,941
8	${\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}$ ^[110]	3 July 2022	3,829,294
9	${\tfrac {3^{7973131}-1}{2}}$ ^[110]	November 2023	3,804,150
10	${\tfrac {2^{12588091}-1}{32075464348897282169539424801}}$ ^[110]	10 April 2023	3,789,365
11	${\tfrac {2^{12503723}-2^{6251862}+1}{5}}$ ^[110]	July 2020	3,763,995
12	${\tfrac {5^{5154509}-1}{4}}$ ^[110]	February 2024	3,602,847
13	${\tfrac {5^{4939471}-1}{4}}$ ^[110]	January 2024	3,452,542
14	${\tfrac {3^{7034611}+1}{4}}$ ^[110]	December 2024	3,356,362
15	${\tfrac {2^{10443557}-1}{37289325994807}}$ ^[110]	9 July 2020	3,143,811
16	2^9092392 + 40291 ^[110]	February 2011	2,737,083
17	${\tfrac {14^{2307467}+1}{15}}$ ^[110]	June 2025	2,644,652
18	${\tfrac {6^{3360347}-1}{5}}$ ^[110]	October 2023	2,614,858
19	${\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}$ ^[110]	3 June 2024	2,482,834
20	${\tfrac {17^{1990523}-1}{16}}$ ^[110]	August 2020	2,449,236
21	${\tfrac {35963^{524288}+1}{2}}$ ^[110]	August 2022	2,388,581
22	500186⁵⁴⁴⁶⁵ + 54465⁵⁰⁰¹⁸⁶ ^[110]	August 2024	2,368,940
23	${\tfrac {11^{2264611}+1}{12}}$ ^[110]	July 2021	2,358,349
24	${\tfrac {5^{3300593}-1}{4}}$ ^[110]	February 2022	2,307,015
25	${\tfrac {3^{4694803}+2^{4694803}}{5}}$ ^[110]	December 2023	2,239,990
26	${\tfrac {2^{7313983}-1}{305492080276193}}$ ^[110]	1 March 2018	2,201,714
27	${\tfrac {3^{4571447}+2^{4571447}}{5}}$ ^[110]	December 2023	2,181,134
28	${\tfrac {15^{1848811}+1}{16}}$ ^[110]	July 2024	2,174,370
29	F(10367321) ^[110]	10 August 2024	2,166,642
30	${\tfrac {15^{1841911}+1}{16}}$ ^[110]	July 2024	2,166,255
31	3^4532794 + 4532794³ ^[110]	October 2023	2,162,693
32	F(10317107) ^[110]	27 July 2024	2,156,148
33	${\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}$ ^[110]	27 October 2017	2,131,318
34	360834³⁵⁶³⁴⁵ + 356345³⁶⁰⁸³⁴ ^[110]	February 2024	2,003,304
35	360339³⁵⁶⁵⁷² + 356572³⁶⁰³³⁹ ^[110]	May 2024	2,000,656

References

^ Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.
^ The known primes with 2,000,000 digits or more
^ "Official press release of 52nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 21 October 2024.
^ "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.
^ "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.
^ "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.
^ "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ ^a ^b "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.
^ "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.
^ "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.
^ "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 10223×2^31172165 + 1, PrimeGrid
^ "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 4052186×69^4052186 + 1, PrimeGrid
^ "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 3×2^23157875 − 1, PrimeGrid
^ Official announcement of discovery of 3843236^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^22103376 − 1, PrimeGrid
^ Official announcement of discovery of 1963736^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 1951734^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 202705×2^21320516 + 1, PrimeGrid
^ "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 1059094^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^20928756 − 1, PrimeGrid
^ Official announcement of discovery of 919444^1048576 + 1, PrimeGrid
^ Official announcement of discovery of 168451×2^19375200 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^18924888 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^18196595 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^17748034 − 1, PrimeGrid
^ Official announcement of discovery of 8508301×2^17016603 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^16819291 − 1, PrimeGrid
^ Official announcement of discovery of 3×2^16408818 + 1, PrimeGrid
^ Official announcement of discovery of 2525332×73^2525332 + 1, PrimeGrid
^ Official announcement of discovery of 99739×2^14019102 + 1, PrimeGrid
^ "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.
^ Official announcement of discovery of 2805222×5^5610444 + 1, PrimeGrid
^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k Chris Caldwell, The Largest Known Primes at The PrimePages.
^ Official announcement of discovery of 67612×5^5501582 + 1, PrimeGrid
^ Official announcement of discovery of 15852200⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 13520762⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 13427472⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 12900356⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 12693488⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 11937916⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 10913140⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 9332124⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 8630170⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^11895718−1, PrimeGrid
^ Official announcement of discovery of 6339004⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^11731850 − 1, PrimeGrid
^ Official announcement of discovery of 4896418⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^11484018 − 1, PrimeGrid
^ Official announcement of discovery of 193997×2^11452891 + 1, PrimeGrid
^ Official announcement of discovery of 3638450⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 9221×2^11392194 − 1, PrimeGrid
^ Official announcement of discovery of 3214654⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 146561×2^11280802 − 1, PrimeGrid
^ Official announcement of discovery of 2985036⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2877652⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2788032⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2733014⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2312092⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 2061748⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 1880370⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 3×2^10829346 + 1, PrimeGrid
^ Official announcement of discovery of 475856⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 356926⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 341112⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 121×2^9584444 + 1, PrimeGrid
^ Official announcement of discovery of 1323365×116^1323365 + 1, PrimeGrid
^ Official announcement of discovery of 63838×5^3887851 − 1, PrimeGrid
^ Official announcement of discovery of 273809×2^8932416 − 1, PrimeGrid
^ Official announcement of discovery of 25×2^8788628 + 1, PrimeGrid
^ ^a ^b ^c "CRUS - Proven Conjectures". www.noprimeleftbehind.net.
^ Official announcement of discovery of 17×2^8636199 + 1, PrimeGrid
^ Official announcement of discovery of 75898⁵²⁴²⁸⁸ + 1, PrimeGrid
^ Official announcement of discovery of 25×2^8456828 + 1, PrimeGrid
^ Official announcement of discovery of 39×2^8413822 + 1, PrimeGrid
^ Official announcement of discovery of 31×2^8348000 + 1, PrimeGrid
^ Official announcement of discovery of 27×2^8342438 − 1, PrimeGrid
^ Official announcement of discovery of 273662×5^3493296 + 1, PrimeGrid
^ 102818×5^3440382 − 1, PrimeGrid
^ Official announcement of discovery of 27×2^7963247 + 1, PrimeGrid
^ Official announcement of discovery of 39×2^7946769 + 1, PrimeGrid
^ Official announcement of discovery of 29×2^7899985 + 1, PrimeGrid
^ Official announcement of discovery of 1341174×53^1341174 + 1, PrimeGrid
^ Official announcement of discovery of 45×2^7661004 + 1, PrimeGrid
^ Official announcement of discovery of 15×2^7619838 + 1, PrimeGrid
^ Official announcement of discovery of 45×2^7513661 + 1, PrimeGrid
^ Official announcement of discovery of 29×2^7374577 + 1, PrimeGrid
^ 109838×5^3168862 − 1, PrimeGrid
^ Official announcement of discovery of 29×2^7300254 + 1, PrimeGrid
^ 118568×5^3112069 + 1, PrimeGrid
^ Official announcement of discovery of 502573×2^7181987 − 1, PrimeGrid
^ Official announcement of discovery of 402539×2^7173024 − 1, PrimeGrid
^ Official announcement of discovery of 161041×2^7107964 + 1, PrimeGrid
^ Official announcement of discovery of 27×2^7046834 + 1, PrimeGrid
^ Official announcement of discovery of 3×2^7033641 + 1, PrimeGrid
^ GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.
^ 238694×5^2979422 − 1, PrimeGrid
^ 146264×5^2953282 − 1, PrimeGrid
^ 35816×5^2945294 − 1, PrimeGrid
^ Official announcement of discovery of 19×2^6833086 + 1, PrimeGrid
^ Official announcement of discovery of 40597×2^6808509 − 1, PrimeGrid
^ Official announcement of discovery of 39×2^6684941 + 1, PrimeGrid
^ Official announcement of discovery of 6679881×2^6679881 + 1, PrimeGrid
^ Official announcement of discovery of 39×2^6648997 + 1, PrimeGrid
^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net

External links

Chris Caldwell, The Largest Known Primes Database at The PrimePages
The 5000 largest known primes at The PrimePages
The 10,000 largest known probable primes at primenumbers.net
PrimeGrid’s 321 Prime Search, about the discovery of 3×2^6090515−1

[1] Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.

[2] The known primes with 2,000,000 digits or more

[3] "Official press release of 52nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 21 October 2024.

[4] "Official press release of 51st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 December 2018.

[5] "Official press release of 50th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 26 December 2017.

[6] "Official press release of 49th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 7 January 2016.

[7] "Official press release of 48th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[4546prime-8] "Official press release of 45th and 46th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 10 September 2008.

[9] "Official press release of 47th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[10] "PrimePage Primes: Phi(3, - 516693^1048576)". t5k.org. Retrieved 18 October 2024.

[11] "PrimePage Primes: Phi(3, - 465859^1048576)". t5k.org. Retrieved 18 October 2024.

[12] "Official press release of 44th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[13] Official announcement of discovery of 10223×2^31172165 + 1, PrimeGrid

[14] "Official press release of 43rd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[15] "Official press release of 42nd Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[16] Official announcement of discovery of 4052186×69^4052186 + 1, PrimeGrid

[17] "Official press release of 41st Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[18] Official announcement of discovery of 3×2^23157875 − 1, PrimeGrid

[19] Official announcement of discovery of 3843236^1048576 + 1, PrimeGrid

[20] Official announcement of discovery of 3×2^22103376 − 1, PrimeGrid

[21] Official announcement of discovery of 1963736^1048576 + 1, PrimeGrid

[22] Official announcement of discovery of 1951734^1048576 + 1, PrimeGrid

[23] Official announcement of discovery of 202705×2^21320516 + 1, PrimeGrid

[24] "Official press release of 40th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[25] Official announcement of discovery of 1059094^1048576 + 1, PrimeGrid

[26] Official announcement of discovery of 3×2^20928756 − 1, PrimeGrid

[27] Official announcement of discovery of 919444^1048576 + 1, PrimeGrid

[28] Official announcement of discovery of 168451×2^19375200 + 1, PrimeGrid

[29] Official announcement of discovery of 3×2^18924888 − 1, PrimeGrid

[30] Official announcement of discovery of 3×2^18196595 − 1, PrimeGrid

[31] Official announcement of discovery of 3×2^17748034 − 1, PrimeGrid

[32] Official announcement of discovery of 8508301×2^17016603 − 1, PrimeGrid

[33] Official announcement of discovery of 3×2^16819291 − 1, PrimeGrid

[34] Official announcement of discovery of 3×2^16408818 + 1, PrimeGrid

[35] Official announcement of discovery of 2525332×73^2525332 + 1, PrimeGrid

[36] Official announcement of discovery of 99739×2^14019102 + 1, PrimeGrid

[37] "Official press release of 39th Mersenne prime number". Great Internet Mersenne Prime Search. Retrieved 25 January 2013.

[38] Official announcement of discovery of 2805222×5^5610444 + 1, PrimeGrid

[The_largest_known_primes-39] ^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k Chris Caldwell, The Largest Known Primes at The PrimePages.

[40] Official announcement of discovery of 67612×5^5501582 + 1, PrimeGrid

[41] Official announcement of discovery of 15852200⁵²⁴²⁸⁸ + 1, PrimeGrid

[42] Official announcement of discovery of 13520762⁵²⁴²⁸⁸ + 1, PrimeGrid

[43] Official announcement of discovery of 13427472⁵²⁴²⁸⁸ + 1, PrimeGrid

[44] Official announcement of discovery of 12900356⁵²⁴²⁸⁸ + 1, PrimeGrid

[45] Official announcement of discovery of 12693488⁵²⁴²⁸⁸ + 1, PrimeGrid

[46] Official announcement of discovery of 11937916⁵²⁴²⁸⁸ + 1, PrimeGrid

[47] Official announcement of discovery of 10913140⁵²⁴²⁸⁸ + 1, PrimeGrid

[48] Official announcement of discovery of 9332124⁵²⁴²⁸⁸ + 1, PrimeGrid

[49] Official announcement of discovery of 8630170⁵²⁴²⁸⁸ + 1, PrimeGrid

[50] Official announcement of discovery of 3×2^11895718−1, PrimeGrid

[51] Official announcement of discovery of 6339004⁵²⁴²⁸⁸ + 1, PrimeGrid

[52] Official announcement of discovery of 3×2^11731850 − 1, PrimeGrid

[53] Official announcement of discovery of 4896418⁵²⁴²⁸⁸ + 1, PrimeGrid

[54] Official announcement of discovery of 3×2^11484018 − 1, PrimeGrid

[55] Official announcement of discovery of 193997×2^11452891 + 1, PrimeGrid

[56] Official announcement of discovery of 3638450⁵²⁴²⁸⁸ + 1, PrimeGrid

[57] Official announcement of discovery of 9221×2^11392194 − 1, PrimeGrid

[58] Official announcement of discovery of 3214654⁵²⁴²⁸⁸ + 1, PrimeGrid

[59] Official announcement of discovery of 146561×2^11280802 − 1, PrimeGrid

[60] Official announcement of discovery of 2985036⁵²⁴²⁸⁸ + 1, PrimeGrid

[61] Official announcement of discovery of 2877652⁵²⁴²⁸⁸ + 1, PrimeGrid

[62] Official announcement of discovery of 2788032⁵²⁴²⁸⁸ + 1, PrimeGrid

[63] Official announcement of discovery of 2733014⁵²⁴²⁸⁸ + 1, PrimeGrid

[64] Official announcement of discovery of 2312092⁵²⁴²⁸⁸ + 1, PrimeGrid

[65] Official announcement of discovery of 2061748⁵²⁴²⁸⁸ + 1, PrimeGrid

[66] Official announcement of discovery of 1880370⁵²⁴²⁸⁸ + 1, PrimeGrid

[67] Official announcement of discovery of 3×2^10829346 + 1, PrimeGrid

[68] Official announcement of discovery of 475856⁵²⁴²⁸⁸ + 1, PrimeGrid

[69] Official announcement of discovery of 356926⁵²⁴²⁸⁸ + 1, PrimeGrid

[70] Official announcement of discovery of 341112⁵²⁴²⁸⁸ + 1, PrimeGrid

[71] Official announcement of discovery of 121×2^9584444 + 1, PrimeGrid

[72] Official announcement of discovery of 1323365×116^1323365 + 1, PrimeGrid

[73] Official announcement of discovery of 63838×5^3887851 − 1, PrimeGrid

[74] Official announcement of discovery of 273809×2^8932416 − 1, PrimeGrid

[75] Official announcement of discovery of 25×2^8788628 + 1, PrimeGrid

[GSRP-76] "CRUS - Proven Conjectures". www.noprimeleftbehind.net.

[77] Official announcement of discovery of 17×2^8636199 + 1, PrimeGrid

[78] Official announcement of discovery of 75898⁵²⁴²⁸⁸ + 1, PrimeGrid

[79] Official announcement of discovery of 25×2^8456828 + 1, PrimeGrid

[80] Official announcement of discovery of 39×2^8413822 + 1, PrimeGrid

[81] Official announcement of discovery of 31×2^8348000 + 1, PrimeGrid

[82] Official announcement of discovery of 27×2^8342438 − 1, PrimeGrid

[83] Official announcement of discovery of 273662×5^3493296 + 1, PrimeGrid

[84] 102818×5^3440382 − 1, PrimeGrid

[85] Official announcement of discovery of 27×2^7963247 + 1, PrimeGrid

[86] Official announcement of discovery of 39×2^7946769 + 1, PrimeGrid

[87] Official announcement of discovery of 29×2^7899985 + 1, PrimeGrid

[88] Official announcement of discovery of 1341174×53^1341174 + 1, PrimeGrid

[89] Official announcement of discovery of 45×2^7661004 + 1, PrimeGrid

[90] Official announcement of discovery of 15×2^7619838 + 1, PrimeGrid

[91] Official announcement of discovery of 45×2^7513661 + 1, PrimeGrid

[92] Official announcement of discovery of 29×2^7374577 + 1, PrimeGrid

[93] 109838×5^3168862 − 1, PrimeGrid

[94] Official announcement of discovery of 29×2^7300254 + 1, PrimeGrid

[95] 118568×5^3112069 + 1, PrimeGrid

[96] Official announcement of discovery of 502573×2^7181987 − 1, PrimeGrid

[97] Official announcement of discovery of 402539×2^7173024 − 1, PrimeGrid

[98] Official announcement of discovery of 161041×2^7107964 + 1, PrimeGrid

[99] Official announcement of discovery of 27×2^7046834 + 1, PrimeGrid

[100] Official announcement of discovery of 3×2^7033641 + 1, PrimeGrid

[1stmegaprime-101] GIMPS press release, GIMPS Finds First Million-Digit Prime. Retrieved on 2008-01-04.

[102] 238694×5^2979422 − 1, PrimeGrid

[103] 146264×5^2953282 − 1, PrimeGrid

[104] 35816×5^2945294 − 1, PrimeGrid

[105] Official announcement of discovery of 19×2^6833086 + 1, PrimeGrid

[106] Official announcement of discovery of 40597×2^6808509 − 1, PrimeGrid

[107] Official announcement of discovery of 39×2^6684941 + 1, PrimeGrid

[108] Official announcement of discovery of 6679881×2^6679881 + 1, PrimeGrid

[109] Official announcement of discovery of 39×2^6648997 + 1, PrimeGrid

[PRPTop-110] ^ ^a ^b ^c ^d ^e ^f ^g ^h ⁱ ^j ^k ^l ^m ⁿ ^o ^p ^q ^r ^s ^t ^u ^v ^w ^x ^y ^z ^aa ^ab ^ac ^ad ^ae ^af ^ag ^ah ^ai ^aj Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000, primenumbers.net

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P. T. Deutermann

Largest known primes

Largest known probable primes (PRPs)

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