List of largest known primes and probable primes

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.

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 ${\displaystyle \Phi _{3}(x)}$ is the third cyclotomic polynomial, defined as ${\displaystyle x^{2}+x+1}$.

Rank[1][2]	Number	Discovery date	Decimal digits
1	2136279841 − 1 [3]	12 October 2024	41,024,320
2	282589933 − 1 [4]	7 December 2018	24,862,048
3	277232917 − 1 [5]	26 December 2017	23,249,425
4	274207281 − 1 [6]	7 January 2016	22,338,618
5	257885161 − 1 [7]	25 January 2013	17,425,170
6	25241902097152 + 1 [8]	12 October 2025	13,426,224
7	243112609 − 1 [9]	23 August 2008	12,978,189
8	242643801 − 1 [10]	4 June 2009	12,837,064
9	${\displaystyle \Phi _{3}(-516693^{1048576})}$ [11]	2 October 2023	11,981,518
10	${\displaystyle \Phi _{3}(-465859^{1048576})}$ [12]	31 May 2023	11,887,192
11	237156667 − 1 [9]	6 September 2008	11,185,272
12	232582657 − 1 [13]	4 September 2006	9,808,358
13	10223×231172165 + 1 [14]	31 October 2016	9,383,761
14	230402457 − 1 [15]	15 December 2005	9,152,052
15	4×511786358 + 1	1 October 2024	8,238,312
16	225964951 − 1 [16]	18 February 2005	7,816,230
17	4052186×694052186 + 1 [17]	16 April 2025	7,451,366
18	69×224612729 − 1	13 August 2024	7,409,172
19	224036583 − 1 [18]	15 May 2004	7,235,733
20	53362841048576 + 1 [19]	31 October 2025	7,054,022
21	107347×223427517 − 1	4 August 2024	7,052,391
22	3×223157875 − 1 [20]	25 June 2025	6,971,216
23	38432361048576 + 1 [21]	17 December 2024	6,904,556
24	3×222103376 − 1 [22]	30 September 2024	6,653,780
25	19637361048576 + 1 [23]	24 September 2022	6,598,776
26	19517341048576 + 1 [24]	9 August 2022	6,595,985
27	202705×221320516 + 1 [25]	25 November 2021	6,418,121
28	220996011 − 1 [26]	17 November 2003	6,320,430
29	10590941048576 + 1 [27]	31 October 2018	6,317,602
30	3×220928756 − 1 [28]	5 July 2023	6,300,184
31	9194441048576 + 1 [29]	29 August 2017	6,253,210
32	81×220498148 + 1	13 June 2023	6,170,560
33	7×220267500 + 1	21 July 2022	6,101,127
34	4×58431178 + 1	2 January 2024	5,893,142
35	168451×219375200 + 1 [30]	17 September 2017	5,832,522
36	69×219374980 − 1	3 July 2022	5,832,452
37	3×218924888 − 1 [31]	24 March 2022	5,696,990
38	69×218831865 − 1	16 December 2021	5,668,959
39	2×311879700 + 1	22 June 2024	5,668,058
40	97139×218397548 − 1	23 April 2023	5,538,219
41	7×218233956 + 1	1 October 2020	5,488,969
42	3×218196595 − 1 [32]	8 January 2022	5,477,722
43	4×311279466 + 1	10 September 2024	5,381,674
44	3×217748034 − 1 [33]	6 September 2021	5,342,692
45	${\displaystyle \Phi _{3}(-123447^{524288})}$	23 February 2017	5,338,805
46	3622×57558139 − 1	18 February 2022	5,282,917
47	7×66772401 + 1	9 September 2019	5,269,954
48	2×310852677 + 1	8 January 2023	5,178,044
49	8508301×217016603 − 1 [34]	21 March 2018	5,122,515
50	8×105112848 − 1	30 January 2024	5,112,848
51	13×216828072 + 1	11 October 2023	5,065,756
52	3×216819291 − 1 [35]	20 January 2021	5,063,112
53	5287180×310574360 − 1	3 November 2024	5,045,259
54	3×216408818 + 1 [36]	25 October 2020	4,939,547
55	2329989×216309923 − 1	13 February 2024	4,909,783
56	69×215866556 + 1	20 August 2021	4,776,312
57	2036×310009192 + 1	15 February 2024	4,775,602
58	2525332×732525332 + 1 [37]	28 August 2021	4,705,888
59	1419499×215614489 + 1	9 February 2024	4,700,436
60	11×215502315 + 1	8 January 2023	4,666,663
61	(102332974 + 1)2 − 2	20 February 2024	4,665,949
62	37×215474010 + 1	8 November 2022	4,658,143
63	93839×215337656 − 1	28 November 2022	4,617,100
64	215317227+27658614 + 1	31 July 2020	4,610,945
65	13×215294536 + 1	30 September 2023	4,604,116
66	6×56546983 + 1	13 June 2020	4,576,146
67	4788920×39577840 − 1	14 February 2024	4,569,798
68	31×215145093 − 1	9 February 2025	4,559,129
69	69×214977631 − 1	3 December 2021	4,508,719
70	192971×214773498 − 1	7 March 2021	4,447,272
71	4×39214845 + 1	10 September 2024	4,396,600
72	9145334×39145334 + 1	25 December 2023	4,363,441
73	4×56181673 − 1	15 July 2022	4,320,805
74	396101×214259638 − 1	3 February 2024	4,292,585
75	6962×312863120 − 1	29 February 2020	4,269,952
76	37×214166940 + 1	24 June 2022	4,264,676
77	99739×214019102 + 1 [38]	24 December 2019	4,220,176
78	69×213832885 − 1	17 January 2022	4,164,116
79	9562633# + 1	25 June 2025	4,151,498
80	404849×213764867 + 1	10 March 2021	4,143,644
81	25×213719266 + 1	20 September 2022	4,129,912
82	81×213708272 + 1	11 October 2022	4,126,603
83	2740879×213704395 − 1	26 October 2019	4,125,441
84	479216×38625889 − 1	16 November 2019	4,115,601
85	13×213584543 − 1	30 May 2025	4,089,357
86	31×213514933 − 1	9 February 2025	4,068,402
87	${\displaystyle \Phi _{3}(-143332^{393216})}$	30 January 2017	4,055,114
88	81×213470584 + 1	9 October 2022	4,055,052
89	213466917 − 1 [39]	14 November 2001	4,053,946
90	5778486×55778486 + 1	15 August 2024	4,038,996
91	9×213334487 + 1	31 March 2020	4,014,082
92	206039×213104952 − 1	26 April 2021	3,944,989
93	2805222×55610444 + 1 [40]	2 September 2019	3,921,539
94	5128×222919993 + 1	5 December 2024	3,919,869
95	19249×213018586 + 1 [41]	26 March 2007	3,918,990
96	2293×212918431 − 1	13 February 2021	3,888,839
97	81×212804541 + 1	19 September 2022	3,854,553
98	22444816524288 + 1 [42]	3 March 2026	3,854,102
99	22306708524288 + 1 [43]	28 February 2026	3,852,697
100	21826264524288 + 1 [44]	25 February 2026	3,847,739
101	67612×55501582 + 1 [45]	8 April 2025	3,845,446
102	20221496524288 + 1	22 January 2026	3,830,351
103	19981416524288 + 1 [46]	5 February 2026	3,827,631
104	19409636524288 + 1 [47]	14 January 2026	3,821,021
105	18703062524288 + 1 [48]	9 December 2025	3,812,577
106	18529322524288 + 1 [49]	30 November 2025	3,810,452
107	18099898524288 + 1	1 September 2025	3,805,113
108	17997078524288 + 1 [50]	20 November 2025	3,803,816
109	17544674524288 + 1 [51]	25 October 2025	3,798,019
110	17502532524288 + 1 [52]	23 October 2025	3,797,471
111	17445908524288 + 1 [53]	19 October 2025	3,796,734
112	17177670524288 + 1 [54]	5 October 2025	3,793,205
113	16211276524288 + 1 [55]	9 August 2025	3,780,021
114	15958750524288 + 1 [56]	15 July 2025	3,776,446
115	15852200524288 + 1 [57]	8 July 2025	3,774,921
116	751882!/751879# + 1	7 December 2025	3,765,621
117	4×55380542 + 1	22 February 2023	3,760,839
118	13520762524288 + 1 [58]	25 February 2025	3,738,699
119	13427472524288 + 1 [59]	3 March 2025	3,737,122
120	9×212406887 + 1	29 March 2020	3,734,847
121	12900356524288 + 1 [60]	22 January 2025	3,728,004
122	12693488524288 + 1 [61]	6 January 2025	3,724,323
123	11937916524288 + 1 [62]	5 October 2024	3,710,349
124	7×212286041 − 1	10 June 2023	3,698,468
125	10913140524288 + 1 [63]	19 June 2024	3,689,913
126	69×212231580 − 1	27 July 2021	3,682,075
127	27×212184319 + 1	6 February 2021	3,667,847
128	9332124524288 + 1 [64]	22 June 2024	3,654,278
129	8630170524288 + 1 [65]	13 April 2024	3,636,472
130	863282×55179692 − 1	17 October 2024	3,620,456
131	670490×123352450 − 1	17 October 2024	3,617,907
132	4×37578378 + 1	9 September 2024	3,615,806
133	11×211993994 − 1	15 August 2024	3,610,554
134	3761×211978874 − 1	6 July 2022	3,606,004
135	95×211954552 − 1	28 May 2024	3,598,681
136	259072×55136295 − 1	28 October 2024	3,590,122
137	3×211895718 − 1 [66]	23 June 2015	3,580,969
138	37×211855148 + 1	30 May 2022	3,568,757
139	6339004524288 + 1 [67]	8 June 2023	3,566,218
140	763795×64582771 + 1	11 December 2023	3,566,095
141	5897794524288 + 1 [41]	18 December 2022	3,549,792
142	3×211731850 − 1 [68]	13 March 2015	3,531,640
143	69×211718455 − 1 [41]	4 December 2020	3,527,609
144	21×211715899 − 1	4 February 2026	3,526,839
145	8629×211708579 − 1	19 September 2024	3,524,638
146	41×211676439 + 1 [41]	20 June 2022	3,514,960
147	4896418524288 + 1 [69]	15 May 2022	3,507,424
148	81×211616017 + 1 [41]	30 August 2022	3,496,772
149	69×211604348 − 1 [41]	4 December 2020	3,493,259
150	4450871×64450871 + 1 [41]	17 September 2023	3,463,458
151	9×211500843 + 1 [41]	13 March 2020	3,462,100
152	3×211484018 − 1 [70]	22 November 2014	3,457,035
153	193997×211452891 + 1 [71]	3 April 2018	3,447,670
154	29914×54930904 + 1	27 September 2024	3,446,559
155	3638450524288 + 1 [72]	29 May 2020	3,439,810
156	9221×211392194 − 1 [73]	7 February 2021	3,429,397
157	9×211366286 + 1	26 March 2020	3,421,594
158	${\displaystyle \Phi _{3}(-3328218^{262144})}$	29 December 2025	3,419,518
159	5×211355764 − 1	2 October 2021	3,418,427
160	732050×64392301 + 1	9 September 2023	3,417,881
161	${\displaystyle \Phi _{3}(-3268739^{262144})}$	10 November 2025	3,415,412
162	3214654524288 + 1 [74]	24 December 2019	3,411,613
163	632760! − 1	20 October 2024	3,395,992
164	146561×211280802 − 1 [75]	16 November 2020	3,395,865
165	51208×54857576 + 1	6 June 2024	3,395,305
166	2985036524288 + 1 [76]	18 September 2019	3,394,739
167	4591×211270837 − 1	2 January 2025	3,392,864
168	6929×211255424 − 1	7 July 2022	3,388,225
169	2877652524288 + 1 [77]	29 June 2019	3,386,397
170	2788032524288 + 1 [78]	17 April 2019	3,379,193
171	2733014524288 + 1 [79]	18 March 2019	3,374,655
172	${\displaystyle \Phi _{3}(-2637072^{262144})}$	4 December 2025	3,366,518
173	9×211158963 + 1	13 March 2020	3,359,184
174	9271×211134335 − 1	17 January 2021	3,351,773
175	136804×54777253 − 1	1 March 2024	3,339,162
176	2312092524288 + 1 [80]	4 August 2018	3,336,572
177	987324×481974648 − 1	12 October 2024	3,319,866
178	2061748524288 + 1 [81]	20 March 2018	3,310,478
179	1880370524288 + 1 [82]	15 January 2018	3,289,511
180	27×210902757 − 1	7 March 2022	3,282,059
181	3×210829346 + 1 [83]	14 January 2014	3,259,959
182	11×210803449 + 1	29 May 2022	3,252,164
183	11×210797109 + 1	29 May 2022	3,250,255
184	7×210612737 − 1	19 May 2022	3,194,154
185	7351117# + 1	14 September 2024	3,191,401
186	37×210599476 + 1	17 June 2022	3,190,762
187	5×210495620 − 1	26 September 2021	3,159,498
188	${\displaystyle {\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}}$	30 June 2023	3,153,105
189	5×210349000 − 1	26 September 2021	3,115,361
190	${\displaystyle \Phi _{3}(-844833^{262144})}$	17 January 2017	3,107,335
191	17×210248660 − 1	8 August 2025	3,085,156
192	52922×54399812 − 1	3 August 2023	3,075,342
193	${\displaystyle \Phi _{3}(-712012^{262144})}$	14 January 2017	3,068,389
194	177742×54386703 − 1	24 July 2023	3,066,180
195	4×36402015 + 1	9 September 2024	3,054,539
196	874208×541748416 − 1	26 September 2019	3,028,951
197	475856524288 + 1 [84]	8 August 2012	2,976,633
198	2×36236772 + 1	20 December 2022	2,975,697
199	15×39830108 + 1	19 August 2023	2,959,159
200	9×29778263 + 1	5 August 2020	2,943,552
201	198×5581061348 + 1	30 August 2024	2,915,138
202	1806676×411806676 + 1	11 March 2018	2,913,785
203	356926524288 + 1 [85]	20 June 2012	2,911,151
204	341112524288 + 1 [86]	15 June 2012	2,900,832
205	213988×54138363 − 1	29 November 2022	2,892,597
206	43×29596983 − 1	28 February 2022	2,888,982
207	121×29584444 + 1 [87]	18 November 2020	2,885,208
208	15×29482269 − 1	14 August 2024	2,854,449
209	6533299# − 1	18 August 2024	2,835,864
210	11×29381365 + 1	7 March 2020	2,824,074
211	15×29312889 + 1	7 August 2023	2,803,461
212	97×29305542 + 1	10 May 2025	2,801,250
213	93×29235048 + 1	7 May 2025	2,780,029
214	49×29187790 + 1	11 September 2022	2,765,803
215	6369619# + 1	12 August 2024	2,765,105
216	27653×29167433 + 1 [41]	8 June 2005	2,759,677
217	6354977# − 1	12 August 2024	2,758,832
218	90527×29162167 + 1	30 June 2010	2,758,093
219	6795×29144320 − 1	31 March 2021	2,752,719
220	31×29088085 − 1	27 August 2024	2,735,788
221	75×29079482 + 1	25 July 2023	2,733,199
222	1323365×1161323365 + 1 [88]	18 January 2018	2,732,038
223	57×29075622 − 1	7 August 2022	2,732,037
224	102718281 − 5×101631138 − 5×101087142 − 1	6 August 2024	2,718,281
225	63838×53887851 − 1 [89]	19 June 2022	2,717,497
226	13×28989858 + 1	10 March 2020	2,706,219
227	271357×28943013 − 1	13 October 2025	2,692,121
228	4159×28938471 − 1	19 April 2022	2,690,752
229	273809×28932416 − 1 [90]	13 December 2017	2,688,931
230	93×28898285 + 1	4 March 2024	2,678,653
231	2×35570081 + 1	14 February 2020	2,657,605
232	25×28788628 + 1 [91]	1 March 2021	2,645,643
233	2038×3661028507 − 1 [92]	4 April 2016	2,636,562
234	64598×53769854 − 1	14 June 2022	2,635,020
235	63×28741225 + 1	6 May 2024	2,631,373
236	8×785900325 + 1	4 June 2022	2,606,325
237	17×28636199 + 1 [93]	17 February 2021	2,599,757
238	75898524288 + 1 [94]	19 November 2011	2,558,647
239	25×28456828 + 1 [95]	27 January 2021	2,545,761
240	39×28413422 + 1 [96]	23 January 2021	2,532,694
241	31×28348000 + 1 [97]	19 January 2021	2,513,000
242	27×28342438 − 1 [98]	1 February 2021	2,511,326
243	17×28330892 − 1	16 July 2025	2,507,850
244	3867×28261084 − 1	14 April 2021	2,486,838
245	101×28152967 + 1	2 December 2023	2,454,290
246	9×28128075 − 1	8 July 2025	2,446,796
247	273662×53493296 − 1 [99]	7 December 2021	2,441,715
248	81×28109236 + 1	9 September 2022	2,441,126
249	11×28103463 + 1	6 March 2020	2,439,387
250	102818×53440382 − 1 [100]	8 October 2021	2,404,729
251	9×27979119 − 1	8 July 2025	2,401,956
252	11×27971110 − 1	25 November 2019	2,399,545
253	27×27963247 + 1 [101]	14 January 2021	2,397,178
254	3177×27954621 − 1	13 June 2021	2,394,584
255	39×27946769 + 1 [102]	14 January 2021	2,392,218
256	7×63072198 + 1	4 August 2019	2,390,636
257	3765×27904593 − 1	10 January 2021	2,379,524
258	29×27899985 + 1 [103]	14 January 2021	2,378,134
259	5113×27895471 − 1	27 November 2022	2,376,778
260	861×27895451 − 1	21 February 2021	2,376,771
261	75×27886683 + 1	4 September 2023	2,374,131
262	3243959×27862047 + 1	3 December 2025	2,366,719
263	2661×27861390 − 1	28 December 2024	2,366,518
264	21×27838882 − 1	15 August 2025	2,359,740
265	30397×27838120 + 1	17 August 2025	2,359,514
266	99×27830910 + 1	24 April 2024	2,357,341
267	28433×27830457 + 1 [41]	31 December 2004	2,357,207
268	2589×27803339 − 1	21 August 2022	2,349,043
269	59×27792307 + 1	24 April 2024	2,345,720
270	101×27784453 + 1	24 April 2024	2,343,356
271	95×27778585 + 1	24 April 2024	2,341,590
272	8401×27767655 − 1	24 April 2023	2,338,302
273	9693×27767343 − 1	17 November 2023	2,338,208
274	5×27755002 − 1	23 September 2021	2,334,489
275	2945×27753232 − 1	27 November 2022	2,333,959
276	2×836798431 + 1	10 September 2024	2,333,181
277	63×27743186 + 1	24 April 2024	2,330,934
278	2545×27732265 − 1	13 January 2021	2,327,648
279	5539×27730709 − 1	15 January 2021	2,327,180
280	4817×27719584 − 1	13 June 2021	2,323,831
281	183×558842752 + 1	23 August 2024	2,314,734
282	1341174×531341174 + 1 [104]	21 August 2017	2,312,561
283	9467×27680034 − 1	20 February 2022	2,311,925
284	45×27661004 + 1 [105]	13 December 2020	2,306,194
285	15×27619838 + 1 [106]	6 December 2020	2,293,801
286	3645×27610003 − 1	28 August 2025	2,290,843
287	3597×27580693 − 1	10 January 2021	2,282,020
288	5256037# + 1	6 August 2024	2,281,955
289	38118498221×27552807 + 1	7 October 2025	2,273,633
290	3129×27545557 − 1	14 March 2023	2,271,443
291	7401×27523295 − 1	21 February 2021	2,264,742
292	45×27513661 + 1 [107]	12 November 2020	2,261,839
293	${\displaystyle \Phi _{3}(-558640^{196608})}$	11 January 2017	2,259,865
294	2739×27483537 − 1	1 May 2025	2,252,773
295	9×27479919 − 1	3 June 2023	2,251,681
296	1875×27474308 − 1	21 August 2022	2,249,995
297	69×27452023 + 1	23 March 2023	2,243,285
298	1281879×27447178 + 1	27 December 2023	2,241,831
299	9107×27417464 − 1	3 May 2025	2,232,884
300	4×53189669 − 1	12 July 2022	2,229,484
301	19×27383785 − 1	11 July 2025	2,222,743
302	29×27374577 + 1 [108]	27 October 2020	2,219,971
303	2653×27368343 − 1	18 September 2024	2,218,096
304	21555×27364128 − 1	4 September 2024	2,216,828
305	3197×27359542 − 1	27 November 2022	2,215,447
306	109838×53168862 − 1 [109]	13 August 2020	2,214,945
307	95×27354869 + 1	25 September 2023	2,214,039
308	101×27345194 − 1	5 October 2019	2,211,126
309	85×27333444 + 1	25 September 2023	2,207,589
310	15×27300254 + 1 [110]	25 October 2020	2,197,597
311	6733×27285527 − 1	26 October 2025	2,193,166
312	422429! + 1	21 February 2022	2,193,027
313	1759×27284439 − 1	28 August 2021	2,192,838
314	1909683×141909683 + 1	27 May 2023	2,188,748
315	737×27269322 − 1	10 August 2017	2,188,287
316	6909×27258896 − 1	18 September 2024	2,185,150
317	93×27241494 + 1	25 September 2023	2,179,909
318	118568×53112069 + 1 [111]	1 May 2020	2,175,248
319	4215×27221386 − 1	27 December 2024	2,173,858
320	40×257901632 + 1	11 September 2024	2,172,875
321	1685×27213108 − 1	13 April 2025	2,171,366
322	580633×27208783 − 1	15 February 2024	2,170,066
323	6039×27207973 − 1	24 March 2021	2,169,820
324	1871×27207954 − 1	26 September 2025	2,169,814
325	502573×27181987 − 1 [112]	4 October 2014	2,162,000
326	402539×27173024 − 1 [113]	2 October 2014	2,159,301
327	3343×27166019 − 1	29 September 2016	2,157,191
328	4137×27132569 − 1	11 April 2025	2,147,121
329	161041×27107964 + 1 [114]	6 January 2015	2,139,716
330	294×213918952 − 1	19 September 2023	2,139,672
331	17×27101254 − 1	11 July 2025	2,137,692
332	27×27046834 + 1 [115]	11 October 2018	2,121,310
333	1759×27046791 − 1	28 August 2021	2,121,299
334	327×27044001 − 1	13 January 2021	2,120,459
335	5×27037188 − 1	22 September 2021	2,118,406
336	3×27033641 + 1 [116]	21 February 2011	2,117,338
337	625783×27031319 − 1	10 February 2024	2,116,644
338	33661×27031232 + 1 [41]	30 October 2007	2,116,617
339	${\displaystyle \Phi _{3}(-237804^{196608})}$	6 January 2017	2,114,016
340	207494×53017502 − 1	16 March 2020	2,109,149
341	15×26993631 − 1	25 August 2021	2,105,294
342	8943501×26972593 − 1	8 January 2022	2,098,967
343	6020095×26972593 − 1	4 September 2022	2,098,967
344	26972593 − 1 [117]	1 June 1999	2,098,960
345	100206278262144 + 1	26 January 2026	2,097,387
346	100013182262144 + 1	26 January 2026	2,097,168
347	273×26963847 − 1	16 November 2022	2,096,330
348	6219×26958945 − 1	7 January 2021	2,094,855
349	51×26945567 + 1	26 May 2020	2,090,826
350	8×102084563 − 1	1 June 2025	2,084,564
351	3323×26921196 − 1	18 September 2024	2,083,492
352	238694×52979422 − 1 [118]	12 March 2020	2,082,532
353	86369496262144 + 1	18 March 2026	2,080,470
354	4×721119849 − 1 [92]	7 September 2016	2,079,933
355	84561734262144 + 1	7 March 2026	2,078,062
356	129×26900230 + 1	5 June 2025	2,077,179
357	83479504262144 + 1	2 March 2026	2,076,595
358	83211382262144 + 1	27 February 2026	2,076,229
359	33×26894190 − 1	27 July 2021	2,075,360
360	82060924262144 + 1	20 February 2026	2,074,644
361	4778027# − 1	31 July 2024	2,073,926
362	105×26884697 + 1	2 June 2025	2,072,503
363	80514060262144 + 1	10 February 2026	2,072,477
364	2345×26882320 − 1	13 April 2022	2,071,789
365	79523718262144 + 1	5 February 2026	2,071,068
366	77784266262144 + 1	20 January 2026	2,068,550
367	77708974262144 + 1	19 January 2026	2,068,440
368	77662142262144 + 1	18 January 2026	2,068,372
369	77586084262144 + 1	17 January 2026	2,068,260
370	77412518262144 + 1	14 January 2026	2,068,005
371	76013952262144 + 1	25 December 2025	2,065,929
372	75810636262144 + 1	20 December 2025	2,065,624
373	75753274262144 + 1	20 December 2025	2,065,538
374	57×26857990 + 1	17 August 2023	2,064,463
375	146264×52953282 − 1 [119]	9 March 2020	2,064,261
376	74732694262144 + 1	10 December 2025	2,063,994
377	74716572262144 + 1	10 December 2025	2,063,970
378	74399970262144 + 1	5 December 2025	2,063,486
379	74336726262144 + 1	4 December 2025	2,063,389
380	73597220262144 + 1	25 November 2025	2,062,251
381	73589294262144 + 1	24 November 2025	2,062,239
382	73465436262144 + 1	21 November 2025	2,062,047
383	73116844262144 + 1	13 November 2025	2,061,505
384	72862906262144 + 1	9 November 2025	2,061,109
385	72752758262144 + 1	4 November 2025	2,060,937
386	72718062262144 + 1	4 November 2025	2,060,883
387	72071732262144 + 1	22 October 2025	2,059,866
388	71737620262144 + 1	18 October 2025	2,059,337
389	71380700262144 + 1	13 October 2025	2,058,770
390	69×26838971 − 1	1 March 2020	2,058,738
391	35816×52945294 − 1 [120]	5 March 2020	2,058,677
392	71107798262144 + 1	11 October 2025	2,058,333
393	127×26836153 − 1	25 June 2018	2,057,890
394	105×26835099 + 1	26 May 2025	2,057,572
395	70520422262144 + 1	29 September 2025	2,057,389
396	70349734262144 + 1	27 September 2025	2,057,113
397	19×26833086 + 1 [121]	24 October 2020	2,056,966
398	69844790262144 + 1	22 September 2025	2,056,293
399	69810332262144 + 1	22 September 2025	2,056,237
400	69290228262144 + 1	20 September 2025	2,055,386
401	69170386262144 + 1	13 September 2025	2,055,189
402	68717884262144 + 1	30 August 2025	2,054,441
403	68000464262144 + 1	10 August 2025	2,053,246
404	67886950262144 + 1	9 August 2025	2,053,056
405	67673558262144 + 1	5 August 2025	2,052,698
406	67535128262144 + 1	2 August 2025	2,052,465
407	67433562262144 + 1	2 August 2025	2,052,293
408	67167678262144 + 1	24 July 2025	2,051,844
409	67141518262144 + 1	24 July 2025	2,051,799
410	67062340262144 + 1	22 July 2025	2,051,665
411	66498472262144 + 1	8 July 2025	2,050,704
412	66342922262144 + 1	4 July 2025	2,050,437
413	66266188262144 + 1	3 July 2025	2,050,305
414	65×26810465 + 1	22 September 2023	2,050,157
415	40597×26808509 − 1 [122]	25 December 2013	2,049,571
416	283×26804701 − 1	19 January 2020	2,048,431
417	65136498262144 + 1	20 June 2025	2,048,348
418	64989720262144 + 1	18 June 2025	2,048,091
419	64074894262144 + 1	30 May 2025	2,046,447
420	64010198262144 + 1	30 May 2025	2,046,362
421	63833640262144 + 1	27 May 2025	2,046,047
422	8×102045966 − 1	31 May 2025	2,045,967
423	63784742262144 + 1	26 May 2025	2,045,960
424	63558122262144 + 1	27 May 2025	2,045,555
425	63448958262144 + 1	22 May 2025	2,045,359
426	63286690262144 + 1	19 May 2025	2,045,068
427	62767176262144 + 1	9 May 2025	2,044,129
428	62747994262144 + 1	9 May 2025	2,044,095
429	1861209×26789999 + 1	2 December 2020	2,044,000
430	5817×26789459 − 1	9 January 2021	2,043,835
431	62311952262144 + 1	3 May 2025	2,043,301
432	62199610262144 + 1	5 May 2025	2,043,095
433	62152830262144 + 1	1 May 2025	2,043,010
434	62136706262144 + 1	2 May 2025	2,042,980
435	8435×26786180 − 1	7 January 2021	2,042,848
436	61238184262144 + 1	21 April 2025	2,041,322
437	119×26777781 + 1	18 May 2025	2,040,318
438	59145944262144 + 1	29 March 2025	2,037,364
439	58936230262144 + 1	28 March 2025	2,036,960
440	58870004262144 + 1	28 March 2025	2,036,832
441	58846688262144 + 1	28 March 2025	2,036,787
442	58333324262144 + 1	28 March 2025	2,035,789
443	58288282262144 + 1	28 March 2025	2,035,701
444	57643582262144 + 1	28 March 2025	2,034,435
445	57594478262144 + 1	28 March 2025	2,034,338
446	57478518262144 + 1	28 March 2025	2,034,108
447	57429230262144 + 1	27 March 2025	2,034,111
448	51×26753404 + 1	26 May 2020	2,032,979
449	93×26750726 + 1	18 September 2023	2,032,173
450	56303352262144 + 1	27 March 2025	2,031,757
451	56295176262144 + 1	26 March 2025	2,031,740
452	55952434262144 + 1	26 March 2025	2,031,045
453	55892864262144 + 1	27 March 2025	2,030,920
454	69×26745775 + 1	21 March 2023	2,030,683
455	55702322262144 + 1	27 March 2025	2,030,535
456	55695224262144 + 1	25 March 2025	2,030,520
457	55169618262144 + 1	25 March 2025	2,029,441
458	55007338262144 + 1	25 March 2025	2,029,105
459	54852328262144 + 1	25 March 2025	2,028,784
460	54528918262144 + 1	26 March 2025	2,028,111
461	54044092262144 + 1	24 March 2025	2,027,094
462	53903472262144 + 1	24 March 2025	2,026,797
463	53750036262144 + 1	24 March 2025	2,026,473
464	53616962262144 + 1	28 March 2025	2,026,191
465	53311612262144 + 1	24 March 2025	2,025,540
466	4681×26728157 − 1	25 August 2025	2,025,381
467	53008094262144 + 1	23 March 2025	2,024,890
468	52648144262144 + 1	21 March 2025	2,024,115
469	52599274262144 + 1	20 March 2025	2,024,009
470	52592976262144 + 1	21 March 2025	2,023,995
471	117×26719464 + 1	10 May 2025	2,022,763
472	51992174262144 + 1	16 March 2025	2,022,687
473	51852794262144 + 1	14 March 2025	2,022,382
474	51714136262144 + 1	13 March 2025	2,022,077
475	51283286262144 + 1	9 March 2025	2,021,124
476	51125138262144 + 1	7 March 2025	2,020,773
477	9995×26711008 − 1	31 December 2020	2,020,219
478	50454356262144 + 1	1 March 2025	2,019,269
479	50449664262144 + 1	28 February 2025	2,019,259
480	50366208262144 + 1	28 February 2025	2,019,070
481	50121532262144 + 1	27 February 2025	2,018,516
482	49536902262144 + 1	25 February 2025	2,017,180
483	49235348262144 + 1	23 February 2025	2,016,485
484	49209090262144 + 1	23 February 2025	2,016,424
485	48055302262144 + 1	18 February 2025	2,013,723
486	47707672262144 + 1	16 February 2025	2,012,896
487	39×26684941 + 1 [123]	20 October 2020	2,012,370
488	47351862262144 + 1	15 February 2025	2,012,044
489	47281922262144 + 1	13 February 2025	2,011,876
490	47255958262144 + 1	13 February 2025	2,011,813
491	6679881×26679881 + 1 [124]	25 July 2009	2,010,852
492	46831458262144 + 1	11 February 2025	2,010,786
493	46378776262144 + 1	8 February 2025	2,009,680
494	45073202262144 + 1	21 January 2025	2,006,469
495	45007104262144 + 1	19 January 2025	2,006,202
496	44819108262144 + 1	14 January 2025	2,005,786
497	44666524262144 + 1	12 January 2025	2,005,397
498	37×26660841 − 1 [92]	30 July 2014	2,005,115
499	44144624262144 + 1	29 December 2024	2,004,059
500	44030166262144 + 1	30 December 2024	2,003,764
501	43330794262144 + 1	3 December 2024	2,001,941
502	39×26648997 + 1 [125]	20 October 2020	2,001,550
503	42781592262144 + 1	18 November 2024	2,000,489
504	102000007 − 101127194 − 10872812 − 1	12 January 2024	2,000,007
505	102000005 − 101051046 − 10948958 − 1	6 January 2024	2,000,005

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[126]	Number	Discovery date	Decimal digits
1	${\displaystyle {\tfrac {10^{8177207}-1}{9}}}$ [126]	8 May 2021	8,177,207
2	${\displaystyle {\tfrac {10^{5794777}-1}{9}}}$ [126]	19 April 2021	5,794,777
3	${\displaystyle {\tfrac {2^{15135397}+1}{3}}}$ [126]	June 2021	4,556,209
4	${\displaystyle {\tfrac {3^{8530117}-1}{2}}}$ [126]	November 2023	4,069,900
5	213380298 − 27 [126]	March 2021	4,027,872
6	${\displaystyle {\tfrac {2^{13372531}+1}{3}}}$ [126]	September 2013	4,025,533
7	${\displaystyle {\tfrac {2^{13347311}+1}{3}}}$ [126]	September 2013	4,017,941
8	${\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}$ [126]	3 July 2022	3,829,294
9	${\displaystyle {\tfrac {3^{7973131}-1}{2}}}$ [126]	November 2023	3,804,150
10	${\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}$ [126]	10 April 2023	3,789,365
11	${\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}$ [126]	July 2020	3,763,995
12	${\displaystyle {\tfrac {5^{5154509}-1}{4}}}$ [126]	February 2024	3,602,847
13	${\displaystyle {\tfrac {5^{4939471}-1}{4}}}$ [126]	January 2024	3,452,542
14	${\displaystyle {\tfrac {3^{7034611}+1}{4}}}$ [126]	December 2024	3,356,362
15	${\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}$ [126]	9 July 2020	3,143,811
16	29092392 + 40291 [126]	February 2011	2,737,083
17	${\displaystyle {\tfrac {14^{2307467}+1}{15}}}$ [126]	June 2025	2,644,652
18	${\displaystyle {\tfrac {6^{3360347}-1}{5}}}$ [126]	October 2023	2,614,858
19	F(11964299) [126]	28 June 2025	2,500,391
20	${\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}$ [126]	3 June 2024	2,482,834
21	${\displaystyle {\tfrac {17^{1990523}-1}{16}}}$ [126]	August 2020	2,449,236
22	${\displaystyle {\tfrac {35963^{524288}+1}{2}}}$ [126]	August 2022	2,388,581
23	50018654465 + 54465500186 [126]	August 2024	2,368,940
24	${\displaystyle {\tfrac {11^{2264611}+1}{12}}}$ [126]	July 2021	2,358,349
25	${\displaystyle {\tfrac {5^{3300593}-1}{4}}}$ [126]	February 2022	2,307,015
26	${\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}$ [126]	December 2023	2,239,990
27	${\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}$ [126]	1 March 2018	2,201,714
28	${\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}$ [126]	December 2023	2,181,134
29	${\displaystyle {\tfrac {15^{1848811}+1}{16}}}$ [126]	July 2024	2,174,370
30	F(10367321) [126]	10 August 2024	2,166,642
31	${\displaystyle {\tfrac {15^{1841911}+1}{16}}}$ [126]	July 2024	2,166,255
32	34532794 + 45327943 [126]	October 2023	2,162,693
33	F(10317107) [126]	27 July 2024	2,156,148
34	${\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}$ [126]	27 October 2017	2,131,318
35	360834356345 + 356345360834 [126]	February 2024	2,003,304
36	360339356572 + 356572360339 [126]	May 2024	2,000,656

• Largest known prime number

• 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