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	67612×55501582 + 1 [42]	8 April 2025	3,845,446
99	20221496524288 + 1	22 January 2026	3,830,351
100	19981416524288 + 1 [43]	5 February 2026	3,827,631
101	19409636524288 + 1 [44]	14 January 2026	3,821,021
102	18703062524288 + 1 [45]	9 December 2025	3,812,577
103	18529322524288 + 1 [46]	30 November 2025	3,810,452
104	18099898524288 + 1	1 September 2025	3,805,113
105	17997078524288 + 1 [47]	20 November 2025	3,803,816
106	17544674524288 + 1 [48]	25 October 2025	3,798,019
107	17502532524288 + 1 [49]	23 October 2025	3,797,471
108	17445908524288 + 1 [50]	19 October 2025	3,796,734
109	17177670524288 + 1 [51]	5 October 2025	3,793,205
110	16211276524288 + 1 [52]	9 August 2025	3,780,021
111	15958750524288 + 1 [53]	15 July 2025	3,776,446
112	15852200524288 + 1 [54]	8 July 2025	3,774,921
113	751882!/751879# + 1	7 December 2025	3,765,621
114	4×55380542 + 1	22 February 2023	3,760,839
115	13520762524288 + 1 [55]	25 February 2025	3,738,699
116	13427472524288 + 1 [56]	3 March 2025	3,737,122
117	9×212406887 + 1	29 March 2020	3,734,847
118	12900356524288 + 1 [57]	22 January 2025	3,728,004
119	12693488524288 + 1 [58]	6 January 2025	3,724,323
120	11937916524288 + 1 [59]	5 October 2024	3,710,349
121	7×212286041 − 1	10 June 2023	3,698,468
122	10913140524288 + 1 [60]	19 June 2024	3,689,913
123	69×212231580 − 1	27 July 2021	3,682,075
124	27×212184319 + 1	6 February 2021	3,667,847
125	9332124524288 + 1 [61]	22 June 2024	3,654,278
126	8630170524288 + 1 [62]	13 April 2024	3,636,472
127	863282×55179692 − 1	17 October 2024	3,620,456
128	670490×123352450 − 1	17 October 2024	3,617,907
129	4×37578378 + 1	9 September 2024	3,615,806
130	11×211993994 − 1	15 August 2024	3,610,554
131	3761×211978874 − 1	6 July 2022	3,606,004
132	95×211954552 − 1	28 May 2024	3,598,681
133	259072×55136295 − 1	28 October 2024	3,590,122
134	3×211895718 − 1 [63]	23 June 2015	3,580,969
135	37×211855148 + 1	30 May 2022	3,568,757
136	6339004524288 + 1 [64]	8 June 2023	3,566,218
137	763795×64582771 + 1	11 December 2023	3,566,095
138	5897794524288 + 1 [41]	18 December 2022	3,549,792
139	3×211731850 − 1 [65]	13 March 2015	3,531,640
140	69×211718455 − 1 [41]	4 December 2020	3,527,609
141	21×211715899 − 1	4 February 2026	3,526,839
142	8629×211708579 − 1	19 September 2024	3,524,638
143	41×211676439 + 1 [41]	20 June 2022	3,514,960
144	4896418524288 + 1 [66]	15 May 2022	3,507,424
145	81×211616017 + 1 [41]	30 August 2022	3,496,772
146	69×211604348 − 1 [41]	4 December 2020	3,493,259
147	4450871×64450871 + 1 [41]	17 September 2023	3,463,458
148	9×211500843 + 1 [41]	13 March 2020	3,462,100
149	3×211484018 − 1 [67]	22 November 2014	3,457,035
150	193997×211452891 + 1 [68]	3 April 2018	3,447,670
151	29914×54930904 + 1	27 September 2024	3,446,559
152	3638450524288 + 1 [69]	29 May 2020	3,439,810
153	9221×211392194 − 1 [70]	7 February 2021	3,429,397
154	9×211366286 + 1	26 March 2020	3,421,594
155	${\displaystyle \Phi _{3}(-3328218^{262144})}$	29 December 2025	3,419,518
156	5×211355764 − 1	2 October 2021	3,418,427
157	732050×64392301 + 1	9 September 2023	3,417,881
158	${\displaystyle \Phi _{3}(-3268739^{262144})}$	10 November 2025	3,415,412
159	3214654524288 + 1 [71]	24 December 2019	3,411,613
160	632760! − 1	20 October 2024	3,395,992
161	146561×211280802 − 1 [72]	16 November 2020	3,395,865
162	51208×54857576 + 1	6 June 2024	3,395,305
163	2985036524288 + 1 [73]	18 September 2019	3,394,739
164	4591×211270837 − 1	2 January 2025	3,392,864
165	6929×211255424 − 1	7 July 2022	3,388,225
166	2877652524288 + 1 [74]	29 June 2019	3,386,397
167	2788032524288 + 1 [75]	17 April 2019	3,379,193
168	2733014524288 + 1 [76]	18 March 2019	3,374,655
169	${\displaystyle \Phi _{3}(-2637072^{262144})}$	4 December 2025	3,366,518
170	9×211158963 + 1	13 March 2020	3,359,184
171	9271×211134335 − 1	17 January 2021	3,351,773
172	136804×54777253 − 1	1 March 2024	3,339,162
173	2312092524288 + 1 [77]	4 August 2018	3,336,572
174	987324×481974648 − 1	12 October 2024	3,319,866
175	2061748524288 + 1 [78]	20 March 2018	3,310,478
176	1880370524288 + 1 [79]	15 January 2018	3,289,511
177	27×210902757 − 1	7 March 2022	3,282,059
178	3×210829346 + 1 [80]	14 January 2014	3,259,959
179	11×210803449 + 1	29 May 2022	3,252,164
180	11×210797109 + 1	29 May 2022	3,250,255
181	7×210612737 − 1	19 May 2022	3,194,154
182	7351117# + 1	14 September 2024	3,191,401
183	37×210599476 + 1	17 June 2022	3,190,762
184	5×210495620 − 1	26 September 2021	3,159,498
185	${\displaystyle {\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}}$	30 June 2023	3,153,105
186	5×210349000 − 1	26 September 2021	3,115,361
187	${\displaystyle \Phi _{3}(-844833^{262144})}$	17 January 2017	3,107,335
188	17×210248660 − 1	8 August 2025	3,085,156
189	52922×54399812 − 1	3 August 2023	3,075,342
190	${\displaystyle \Phi _{3}(-712012^{262144})}$	14 January 2017	3,068,389
191	177742×54386703 − 1	24 July 2023	3,066,180
192	4×36402015 + 1	9 September 2024	3,054,539
193	874208×541748416 − 1	26 September 2019	3,028,951
194	475856524288 + 1 [81]	8 August 2012	2,976,633
195	2×36236772 + 1	20 December 2022	2,975,697
196	15×39830108 + 1	19 August 2023	2,959,159
197	9×29778263 + 1	5 August 2020	2,943,552
198	198×5581061348 + 1	30 August 2024	2,915,138
199	1806676×411806676 + 1	11 March 2018	2,913,785
200	356926524288 + 1 [82]	20 June 2012	2,911,151
201	341112524288 + 1 [83]	15 June 2012	2,900,832
202	213988×54138363 − 1	29 November 2022	2,892,597
203	43×29596983 − 1	28 February 2022	2,888,982
204	121×29584444 + 1 [84]	18 November 2020	2,885,208
205	15×29482269 − 1	14 August 2024	2,854,449
206	6533299# − 1	18 August 2024	2,835,864
207	11×29381365 + 1	7 March 2020	2,824,074
208	15×29312889 + 1	7 August 2023	2,803,461
209	97×29305542 + 1	10 May 2025	2,801,250
210	93×29235048 + 1	7 May 2025	2,780,029
211	49×29187790 + 1	11 September 2022	2,765,803
212	6369619# + 1	12 August 2024	2,765,105
213	27653×29167433 + 1 [41]	8 June 2005	2,759,677
214	6354977# − 1	12 August 2024	2,758,832
215	90527×29162167 + 1	30 June 2010	2,758,093
216	6795×29144320 − 1	31 March 2021	2,752,719
217	31×29088085 − 1	27 August 2024	2,735,788
218	75×29079482 + 1	25 July 2023	2,733,199
219	1323365×1161323365 + 1 [85]	18 January 2018	2,732,038
220	57×29075622 − 1	7 August 2022	2,732,037
221	102718281 − 5×101631138 − 5×101087142 − 1	6 August 2024	2,718,281
222	63838×53887851 − 1 [86]	19 June 2022	2,717,497
223	13×28989858 + 1	10 March 2020	2,706,219
224	271357×28943013 − 1	13 October 2025	2,692,121
225	4159×28938471 − 1	19 April 2022	2,690,752
226	273809×28932416 − 1 [87]	13 December 2017	2,688,931
227	93×28898285 + 1	4 March 2024	2,678,653
228	2×35570081 + 1	14 February 2020	2,657,605
229	25×28788628 + 1 [88]	1 March 2021	2,645,643
230	2038×3661028507 − 1 [89]	4 April 2016	2,636,562
231	64598×53769854 − 1	14 June 2022	2,635,020
232	63×28741225 + 1	6 May 2024	2,631,373
233	8×785900325 + 1	4 June 2022	2,606,325
234	17×28636199 + 1 [90]	17 February 2021	2,599,757
235	75898524288 + 1 [91]	19 November 2011	2,558,647
236	25×28456828 + 1 [92]	27 January 2021	2,545,761
237	39×28413422 + 1 [93]	23 January 2021	2,532,694
238	31×28348000 + 1 [94]	19 January 2021	2,513,000
239	27×28342438 − 1 [95]	1 February 2021	2,511,326
240	17×28330892 − 1	16 July 2025	2,507,850
241	3867×28261084 − 1	14 April 2021	2,486,838
242	101×28152967 + 1	2 December 2023	2,454,290
243	9×28128075 − 1	8 July 2025	2,446,796
244	273662×53493296 − 1 [96]	7 December 2021	2,441,715
245	81×28109236 + 1	9 September 2022	2,441,126
246	11×28103463 + 1	6 March 2020	2,439,387
247	102818×53440382 − 1 [97]	8 October 2021	2,404,729
248	9×27979119 − 1	8 July 2025	2,401,956
249	11×27971110 − 1	25 November 2019	2,399,545
250	27×27963247 + 1 [98]	14 January 2021	2,397,178
251	3177×27954621 − 1	13 June 2021	2,394,584
252	39×27946769 + 1 [99]	14 January 2021	2,392,218
253	7×63072198 + 1	4 August 2019	2,390,636
254	3765×27904593 − 1	10 January 2021	2,379,524
255	29×27899985 + 1 [100]	14 January 2021	2,378,134
256	5113×27895471 − 1	27 November 2022	2,376,778
257	861×27895451 − 1	21 February 2021	2,376,771
258	75×27886683 + 1	4 September 2023	2,374,131
259	3243959×27862047 + 1	3 December 2025	2,366,719
260	2661×27861390 − 1	28 December 2024	2,366,518
261	21×27838882 − 1	15 August 2025	2,359,740
262	30397×27838120 + 1	17 August 2025	2,359,514
263	99×27830910 + 1	24 April 2024	2,357,341
264	28433×27830457 + 1 [41]	31 December 2004	2,357,207
265	2589×27803339 − 1	21 August 2022	2,349,043
266	59×27792307 + 1	24 April 2024	2,345,720
267	101×27784453 + 1	24 April 2024	2,343,356
268	95×27778585 + 1	24 April 2024	2,341,590
269	8401×27767655 − 1	24 April 2023	2,338,302
270	9693×27767343 − 1	17 November 2023	2,338,208
271	5×27755002 − 1	23 September 2021	2,334,489
272	2945×27753232 − 1	27 November 2022	2,333,959
273	2×836798431 + 1	10 September 2024	2,333,181
274	63×27743186 + 1	24 April 2024	2,330,934
275	2545×27732265 − 1	13 January 2021	2,327,648
276	5539×27730709 − 1	15 January 2021	2,327,180
277	4817×27719584 − 1	13 June 2021	2,323,831
278	183×558842752 + 1	23 August 2024	2,314,734
279	1341174×531341174 + 1 [101]	21 August 2017	2,312,561
280	9467×27680034 − 1	20 February 2022	2,311,925
281	45×27661004 + 1 [102]	13 December 2020	2,306,194
282	15×27619838 + 1 [103]	6 December 2020	2,293,801
283	3645×27610003 − 1	28 August 2025	2,290,843
284	3597×27580693 − 1	10 January 2021	2,282,020
285	5256037# + 1	6 August 2024	2,281,955
286	38118498221×27552807 + 1	7 October 2025	2,273,633
287	3129×27545557 − 1	14 March 2023	2,271,443
288	7401×27523295 − 1	21 February 2021	2,264,742
289	45×27513661 + 1 [104]	12 November 2020	2,261,839
290	${\displaystyle \Phi _{3}(-558640^{196608})}$	11 January 2017	2,259,865
291	2739×27483537 − 1	1 May 2025	2,252,773
292	9×27479919 − 1	3 June 2023	2,251,681
293	1875×27474308 − 1	21 August 2022	2,249,995
294	69×27452023 + 1	23 March 2023	2,243,285
295	1281879×27447178 + 1	27 December 2023	2,241,831
296	9107×27417464 − 1	3 May 2025	2,232,884
297	4×53189669 − 1	12 July 2022	2,229,484
298	19×27383785 − 1	11 July 2025	2,222,743
299	29×27374577 + 1 [105]	27 October 2020	2,219,971
300	2653×27368343 − 1	18 September 2024	2,218,096
301	21555×27364128 − 1	4 September 2024	2,216,828
302	3197×27359542 − 1	27 November 2022	2,215,447
303	109838×53168862 − 1 [106]	13 August 2020	2,214,945
304	95×27354869 + 1	25 September 2023	2,214,039
305	101×27345194 − 1	5 October 2019	2,211,126
306	85×27333444 + 1	25 September 2023	2,207,589
307	15×27300254 + 1 [107]	25 October 2020	2,197,597
308	6733×27285527 − 1	26 October 2025	2,193,166
309	422429! + 1	21 February 2022	2,193,027
310	1759×27284439 − 1	28 August 2021	2,192,838
311	1909683×141909683 + 1	27 May 2023	2,188,748
312	737×27269322 − 1	10 August 2017	2,188,287
313	6909×27258896 − 1	18 September 2024	2,185,150
314	93×27241494 + 1	25 September 2023	2,179,909
315	118568×53112069 + 1 [108]	1 May 2020	2,175,248
316	4215×27221386 − 1	27 December 2024	2,173,858
317	40×257901632 + 1	11 September 2024	2,172,875
318	1685×27213108 − 1	13 April 2025	2,171,366
319	580633×27208783 − 1	15 February 2024	2,170,066
320	6039×27207973 − 1	24 March 2021	2,169,820
321	1871×27207954 − 1	26 September 2025	2,169,814
322	502573×27181987 − 1 [109]	4 October 2014	2,162,000
323	402539×27173024 − 1 [110]	2 October 2014	2,159,301
324	3343×27166019 − 1	29 September 2016	2,157,191
325	4137×27132569 − 1	11 April 2025	2,147,121
326	161041×27107964 + 1 [111]	6 January 2015	2,139,716
327	294×213918952 − 1	19 September 2023	2,139,672
328	17×27101254 − 1	11 July 2025	2,137,692
329	27×27046834 + 1 [112]	11 October 2018	2,121,310
330	1759×27046791 − 1	28 August 2021	2,121,299
331	327×27044001 − 1	13 January 2021	2,120,459
332	5×27037188 − 1	22 September 2021	2,118,406
333	3×27033641 + 1 [113]	21 February 2011	2,117,338
334	625783×27031319 − 1	10 February 2024	2,116,644
335	33661×27031232 + 1 [41]	30 October 2007	2,116,617
336	${\displaystyle \Phi _{3}(-237804^{196608})}$	6 January 2017	2,114,016
337	207494×53017502 − 1	16 March 2020	2,109,149
338	15×26993631 − 1	25 August 2021	2,105,294
339	8943501×26972593 − 1	8 January 2022	2,098,967
340	6020095×26972593 − 1	4 September 2022	2,098,967
341	26972593 − 1 [114]	1 June 1999	2,098,960
342	100206278262144 + 1	26 January 2026	2,097,387
343	100013182262144 + 1	26 January 2026	2,097,168
344	273×26963847 − 1	16 November 2022	2,096,330
345	6219×26958945 − 1	7 January 2021	2,094,855
346	51×26945567 + 1	26 May 2020	2,090,826
347	8×102084563 − 1	1 June 2025	2,084,564
348	3323×26921196 − 1	18 September 2024	2,083,492
349	238694×52979422 − 1 [115]	12 March 2020	2,082,532
350	4×721119849 − 1 [89]	7 September 2016	2,079,933
351	129×26900230 + 1	5 June 2025	2,077,179
352	33×26894190 − 1	27 July 2021	2,075,360
353	4778027# − 1	31 July 2024	2,073,926
354	105×26884697 + 1	2 June 2025	2,072,503
355	80514060262144 + 1	10 February 2026	2,072,477
356	2345×26882320 − 1	13 April 2022	2,071,789
357	79523718262144 + 1	5 February 2026	2,071,068
358	77784266262144 + 1	20 January 2026	2,068,550
359	77708974262144 + 1	19 January 2026	2,068,440
360	77662142262144 + 1	18 January 2026	2,068,372
361	77586084262144 + 1	17 January 2026	2,068,260
362	77412518262144 + 1	14 January 2026	2,068,005
363	76013952262144 + 1	25 December 2025	2,065,929
364	75810636262144 + 1	20 December 2025	2,065,624
365	75753274262144 + 1	20 December 2025	2,065,538
366	57×26857990 + 1	17 August 2023	2,064,463
367	146264×52953282 − 1 [116]	9 March 2020	2,064,261
368	74732694262144 + 1	10 December 2025	2,063,994
369	74716572262144 + 1	10 December 2025	2,063,970
370	74399970262144 + 1	5 December 2025	2,063,486
371	74336726262144 + 1	4 December 2025	2,063,389
372	73597220262144 + 1	25 November 2025	2,062,251
373	73589294262144 + 1	24 November 2025	2,062,239
374	73465436262144 + 1	21 November 2025	2,062,047
375	73116844262144 + 1	13 November 2025	2,061,505
376	72862906262144 + 1	9 November 2025	2,061,109
377	72752758262144 + 1	4 November 2025	2,060,937
378	72718062262144 + 1	4 November 2025	2,060,883
379	72071732262144 + 1	22 October 2025	2,059,866
380	71737620262144 + 1	18 October 2025	2,059,337
381	71380700262144 + 1	13 October 2025	2,058,770
382	69×26838971 − 1	1 March 2020	2,058,738
383	35816×52945294 − 1 [117]	5 March 2020	2,058,677
384	71107798262144 + 1	11 October 2025	2,058,333
385	127×26836153 − 1	25 June 2018	2,057,890
386	105×26835099 + 1	26 May 2025	2,057,572
387	70520422262144 + 1	29 September 2025	2,057,389
388	70349734262144 + 1	27 September 2025	2,057,113
389	19×26833086 + 1 [118]	24 October 2020	2,056,966
390	69844790262144 + 1	22 September 2025	2,056,293
391	69810332262144 + 1	22 September 2025	2,056,237
392	69290228262144 + 1	20 September 2025	2,055,386
393	69170386262144 + 1	13 September 2025	2,055,189
394	68717884262144 + 1	30 August 2025	2,054,441
395	68000464262144 + 1	10 August 2025	2,053,246
396	67886950262144 + 1	9 August 2025	2,053,056
397	67673558262144 + 1	5 August 2025	2,052,698
398	67535128262144 + 1	2 August 2025	2,052,465
399	67433562262144 + 1	2 August 2025	2,052,293
400	67167678262144 + 1	24 July 2025	2,051,844
401	67141518262144 + 1	24 July 2025	2,051,799
402	67062340262144 + 1	22 July 2025	2,051,665
403	66498472262144 + 1	8 July 2025	2,050,704
404	66342922262144 + 1	4 July 2025	2,050,437
405	66266188262144 + 1	3 July 2025	2,050,305
406	65×26810465 + 1	22 September 2023	2,050,157
407	40597×26808509 − 1 [119]	25 December 2013	2,049,571
408	283×26804701 − 1	19 January 2020	2,048,431
409	65136498262144 + 1	20 June 2025	2,048,348
410	64989720262144 + 1	18 June 2025	2,048,091
411	64074894262144 + 1	30 May 2025	2,046,447
412	64010198262144 + 1	30 May 2025	2,046,362
413	63833640262144 + 1	27 May 2025	2,046,047
414	8×102045966 − 1	31 May 2025	2,045,967
415	63784742262144 + 1	26 May 2025	2,045,960
416	63558122262144 + 1	27 May 2025	2,045,555
417	63448958262144 + 1	22 May 2025	2,045,359
418	63286690262144 + 1	19 May 2025	2,045,068
419	62767176262144 + 1	9 May 2025	2,044,129
420	62747994262144 + 1	9 May 2025	2,044,095
421	1861209×26789999 + 1	2 December 2020	2,044,000
422	5817×26789459 − 1	9 January 2021	2,043,835
423	62311952262144 + 1	3 May 2025	2,043,301
424	62199610262144 + 1	5 May 2025	2,043,095
425	62152830262144 + 1	1 May 2025	2,043,010
426	62136706262144 + 1	2 May 2025	2,042,980
427	8435×26786180 − 1	7 January 2021	2,042,848
428	61238184262144 + 1	21 April 2025	2,041,322
429	119×26777781 + 1	18 May 2025	2,040,318
430	59145944262144 + 1	29 March 2025	2,037,364
431	58936230262144 + 1	28 March 2025	2,036,960
432	58870004262144 + 1	28 March 2025	2,036,832
433	58846688262144 + 1	28 March 2025	2,036,787
434	58333324262144 + 1	28 March 2025	2,035,789
435	58288282262144 + 1	28 March 2025	2,035,701
436	57643582262144 + 1	28 March 2025	2,034,435
437	57594478262144 + 1	28 March 2025	2,034,338
438	57478518262144 + 1	28 March 2025	2,034,108
439	57429230262144 + 1	27 March 2025	2,034,111
440	51×26753404 + 1	26 May 2020	2,032,979
441	93×26750726 + 1	18 September 2023	2,032,173
442	56303352262144 + 1	27 March 2025	2,031,757
443	56295176262144 + 1	26 March 2025	2,031,740
444	55952434262144 + 1	26 March 2025	2,031,045
445	55892864262144 + 1	27 March 2025	2,030,920
446	69×26745775 + 1	21 March 2023	2,030,683
447	55702322262144 + 1	27 March 2025	2,030,535
448	55695224262144 + 1	25 March 2025	2,030,520
449	55169618262144 + 1	25 March 2025	2,029,441
450	55007338262144 + 1	25 March 2025	2,029,105
451	54852328262144 + 1	25 March 2025	2,028,784
452	54528918262144 + 1	26 March 2025	2,028,111
453	54044092262144 + 1	24 March 2025	2,027,094
454	53903472262144 + 1	24 March 2025	2,026,797
455	53750036262144 + 1	24 March 2025	2,026,473
456	53616962262144 + 1	28 March 2025	2,026,191
457	53311612262144 + 1	24 March 2025	2,025,540
458	4681×26728157 − 1	25 August 2025	2,025,381
459	53008094262144 + 1	23 March 2025	2,024,890
460	52648144262144 + 1	21 March 2025	2,024,115
461	52599274262144 + 1	20 March 2025	2,024,009
462	52592976262144 + 1	21 March 2025	2,023,995
463	117×26719464 + 1	10 May 2025	2,022,763
464	51992174262144 + 1	16 March 2025	2,022,687
465	51852794262144 + 1	14 March 2025	2,022,382
466	51714136262144 + 1	13 March 2025	2,022,077
467	51283286262144 + 1	9 March 2025	2,021,124
468	51125138262144 + 1	7 March 2025	2,020,773
469	9995×26711008 − 1	31 December 2020	2,020,219
470	50454356262144 + 1	1 March 2025	2,019,269
471	50449664262144 + 1	28 February 2025	2,019,259
472	50366208262144 + 1	28 February 2025	2,019,070
473	50121532262144 + 1	27 February 2025	2,018,516
474	49536902262144 + 1	25 February 2025	2,017,180
475	49235348262144 + 1	23 February 2025	2,016,485
476	49209090262144 + 1	23 February 2025	2,016,424
477	48055302262144 + 1	18 February 2025	2,013,723
478	47707672262144 + 1	16 February 2025	2,012,896
479	39×26684941 + 1 [120]	20 October 2020	2,012,370
480	47351862262144 + 1	15 February 2025	2,012,044
481	47281922262144 + 1	13 February 2025	2,011,876
482	47255958262144 + 1	13 February 2025	2,011,813
483	6679881×26679881 + 1 [121]	25 July 2009	2,010,852
484	46831458262144 + 1	11 February 2025	2,010,786
485	46378776262144 + 1	8 February 2025	2,009,680
486	45073202262144 + 1	21 January 2025	2,006,469
487	45007104262144 + 1	19 January 2025	2,006,202
488	44819108262144 + 1	14 January 2025	2,005,786
489	44666524262144 + 1	12 January 2025	2,005,397
490	37×26660841 − 1 [89]	30 July 2014	2,005,115
491	44144624262144 + 1	29 December 2024	2,004,059
492	44030166262144 + 1	30 December 2024	2,003,764
493	43330794262144 + 1	3 December 2024	2,001,941
494	39×26648997 + 1 [122]	20 October 2020	2,001,550
495	42781592262144 + 1	18 November 2024	2,000,489
496	102000007 − 101127194 − 10872812 − 1	12 January 2024	2,000,007
497	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[123]	Number	Discovery date	Decimal digits
1	${\displaystyle {\tfrac {10^{8177207}-1}{9}}}$ [123]	8 May 2021	8,177,207
2	${\displaystyle {\tfrac {10^{5794777}-1}{9}}}$ [123]	19 April 2021	5,794,777
3	${\displaystyle {\tfrac {2^{15135397}+1}{3}}}$ [123]	June 2021	4,556,209
4	${\displaystyle {\tfrac {3^{8530117}-1}{2}}}$ [123]	November 2023	4,069,900
5	213380298 − 27 [123]	March 2021	4,027,872
6	${\displaystyle {\tfrac {2^{13372531}+1}{3}}}$ [123]	September 2013	4,025,533
7	${\displaystyle {\tfrac {2^{13347311}+1}{3}}}$ [123]	September 2013	4,017,941
8	${\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}$ [123]	3 July 2022	3,829,294
9	${\displaystyle {\tfrac {3^{7973131}-1}{2}}}$ [123]	November 2023	3,804,150
10	${\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}$ [123]	10 April 2023	3,789,365
11	${\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}$ [123]	July 2020	3,763,995
12	${\displaystyle {\tfrac {5^{5154509}-1}{4}}}$ [123]	February 2024	3,602,847
13	${\displaystyle {\tfrac {5^{4939471}-1}{4}}}$ [123]	January 2024	3,452,542
14	${\displaystyle {\tfrac {3^{7034611}+1}{4}}}$ [123]	December 2024	3,356,362
15	${\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}$ [123]	9 July 2020	3,143,811
16	29092392 + 40291 [123]	February 2011	2,737,083
17	${\displaystyle {\tfrac {14^{2307467}+1}{15}}}$ [123]	June 2025	2,644,652
18	${\displaystyle {\tfrac {6^{3360347}-1}{5}}}$ [123]	October 2023	2,614,858
19	F(11964299) [123]	28 June 2025	2,500,391
20	${\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}$ [123]	3 June 2024	2,482,834
21	${\displaystyle {\tfrac {17^{1990523}-1}{16}}}$ [123]	August 2020	2,449,236
22	${\displaystyle {\tfrac {35963^{524288}+1}{2}}}$ [123]	August 2022	2,388,581
23	50018654465 + 54465500186 [123]	August 2024	2,368,940
24	${\displaystyle {\tfrac {11^{2264611}+1}{12}}}$ [123]	July 2021	2,358,349
25	${\displaystyle {\tfrac {5^{3300593}-1}{4}}}$ [123]	February 2022	2,307,015
26	${\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}$ [123]	December 2023	2,239,990
27	${\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}$ [123]	1 March 2018	2,201,714
28	${\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}$ [123]	December 2023	2,181,134
29	${\displaystyle {\tfrac {15^{1848811}+1}{16}}}$ [123]	July 2024	2,174,370
30	F(10367321) [123]	10 August 2024	2,166,642
31	${\displaystyle {\tfrac {15^{1841911}+1}{16}}}$ [123]	July 2024	2,166,255
32	34532794 + 45327943 [123]	October 2023	2,162,693
33	F(10317107) [123]	27 July 2024	2,156,148
34	${\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}$ [123]	27 October 2017	2,131,318
35	360834356345 + 356345360834 [123]	February 2024	2,003,304
36	360339356572 + 356572360339 [123]	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