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.

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 ${\displaystyle \Phi _{3}(x)}$ 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	243112609 − 1 [8]	23 August 2008	12,978,189
7	242643801 − 1 [9]	4 June 2009	12,837,064
8	${\displaystyle \Phi _{3}(-516693^{1048576})}$ [10]	2 October 2023	11,981,518
9	${\displaystyle \Phi _{3}(-465859^{1048576})}$ [11]	31 May 2023	11,887,192
10	237156667 − 1 [8]	6 September 2008	11,185,272
11	232582657 − 1 [12]	4 September 2006	9,808,358
12	10223×231172165 + 1 [13]	31 October 2016	9,383,761
13	230402457 − 1 [14]	15 December 2005	9,152,052
14	4×511786358 + 1	1 October 2024	8,238,312
15	225964951 − 1 [15]	18 February 2005	7,816,230
16	4052186×694052186 + 1 [16]	16 April 2025	7,451,366
17	69×224612729 − 1	13 August 2024	7,409,172
18	224036583 − 1 [17]	15 May 2004	7,235,733
19	107347×223427517 − 1	4 August 2024	7,052,391
20	3×223157875 − 1 [18]	25 June 2025	6,971,216
21	38432361048576 + 1 [19]	17 December 2024	6,904,556
22	3×222103376 − 1 [20]	30 September 2024	6,653,780
23	19637361048576 + 1 [21]	24 September 2022	6,598,776
24	19517341048576 + 1 [22]	9 August 2022	6,595,985
25	202705×221320516 + 1 [23]	25 November 2021	6,418,121
26	220996011 − 1 [24]	17 November 2003	6,320,430
27	10590941048576 + 1 [25]	31 October 2018	6,317,602
28	3×220928756 − 1 [26]	5 July 2023	6,300,184
29	9194441048576 + 1 [27]	29 August 2017	6,253,210
30	81×220498148 + 1	13 June 2023	6,170,560
31	7×220267500 + 1	21 July 2022	6,101,127
32	4×58431178 + 1	2 January 2024	5,893,142
33	168451×219375200 + 1 [28]	17 September 2017	5,832,522
34	69×219374980 − 1	3 July 2022	5,832,452
35	3×218924888 − 1 [29]	24 March 2022	5,696,990
36	69×218831865 − 1	16 December 2021	5,668,959
37	2×311879700 + 1	22 June 2024	5,668,058
38	97139×218397548 − 1	23 April 2023	5,538,219
39	7×218233956 + 1	1 October 2020	5,488,969
40	3×218196595 − 1 [30]	8 January 2022	5,477,722
41	4×311279466 + 1	10 September 2024	5,381,674
42	3×217748034 − 1 [31]	6 September 2021	5,342,692
43	${\displaystyle \Phi _{3}(-123447^{524288})}$	23 February 2017	5,338,805
44	3622×57558139 − 1	18 February 2022	5,282,917
45	7×66772401 + 1	9 September 2019	5,269,954
46	2×310852677 + 1	8 January 2023	5,178,044
47	8508301×217016603 − 1 [32]	21 March 2018	5,122,515
48	8×105112848 − 1	30 January 2024	5,112,848
49	13×216828072 + 1	11 October 2023	5,065,756
50	3×216819291 − 1 [33]	20 January 2021	5,063,112
51	5287180×310574360 − 1	3 November 2024	5,045,259
52	3×216408818 + 1 [34]	25 October 2020	4,939,547
53	2329989×216309923 − 1	13 February 2024	4,909,783
54	69×215866556 + 1	20 August 2021	4,776,312
55	2036×310009192 + 1	15 February 2024	4,775,602
56	2525332×732525332 + 1 [35]	28 August 2021	4,705,888
57	1419499×215614489 + 1	9 February 2024	4,700,436
58	11×215502315 + 1	8 January 2023	4,666,663
59	(102332974 + 1)2 − 2	20 February 2024	4,665,949
60	37×215474010 + 1	8 November 2022	4,658,143
61	93839×215337656 − 1	28 November 2022	4,617,100
62	215317227+27658614 + 1	31 July 2020	4,610,945
63	13×215294536 + 1	30 September 2023	4,604,116
64	6×56546983 + 1	13 June 2020	4,576,146
65	4788920×39577840 − 1	14 February 2024	4,569,798
66	31×215145093 − 1	9 February 2025	4,559,129
67	69×214977631 − 1	3 December 2021	4,508,719
68	192971×214773498 − 1	7 March 2021	4,447,272
69	4×39214845 + 1	10 September 2024	4,396,600
70	9145334×39145334 + 1	25 December 2023	4,363,441
71	4×56181673 − 1	15 July 2022	4,320,805
72	396101×214259638 − 1	3 February 2024	4,292,585
73	6962×312863120 − 1	29 February 2020	4,269,952
74	37×214166940 + 1	24 June 2022	4,264,676
75	99739×214019102 + 1 [36]	24 December 2019	4,220,176
76	69×213832885 − 1	17 January 2022	4,164,116
77	9562633# + 1	25 June 2025	4,151,498
78	404849×213764867 + 1	10 March 2021	4,143,644
79	25×213719266 + 1	20 September 2022	4,129,912
80	81×213708272 + 1	11 October 2022	4,126,603
81	2740879×213704395 − 1	26 October 2019	4,125,441
82	479216×38625889 − 1	16 November 2019	4,115,601
83	13×213584543 − 1	30 May 2025	4,089,357
84	31×213514933 − 1	9 February 2025	4,068,402
85	${\displaystyle \Phi _{3}(-143332^{393216})}$	30 January 2017	4,055,114
86	81×213470584 + 1	9 October 2022	4,055,052
87	213466917 − 1 [37]	14 November 2001	4,053,946
88	5778486×55778486 + 1	15 August 2024	4,038,996
89	9×213334487 + 1	31 March 2020	4,014,082
90	206039×213104952 − 1	26 April 2021	3,944,989
91	2805222×55610444 + 1 [38]	2 September 2019	3,921,539
92	5128×222919993 + 1	5 December 2024	3,919,869
93	19249×213018586 + 1 [39]	26 March 2007	3,918,990
94	2293×212918431 − 1	13 February 2021	3,888,839
95	81×212804541 + 1	19 September 2022	3,854,553
96	67612×55501582 + 1 [40]	8 April 2025	3,845,446
97	4×55380542 + 1	22 February 2023	3,760,839
98	13520762524288 + 1 [41]	25 February 2025	3,738,699
99	13427472524288 + 1 [42]	3 March 2025	3,737,122
100	9×212406887 + 1	29 March 2020	3,734,847
101	12900356524288 + 1 [43]	22 January 2025	3,728,004
102	12693488524288 + 1 [44]	6 January 2025	3,724,323
103	11937916524288 + 1 [45]	5 October 2024	3,710,349
104	7×212286041 − 1	10 June 2023	3,698,468
105	10913140524288 + 1 [46]	19 June 2024	3,689,913
106	69×212231580 − 1	27 July 2021	3,682,075
107	27×212184319 + 1	6 February 2021	3,667,847
108	9332124524288 + 1 [47]	22 June 2024	3,654,278
109	8630170524288 + 1 [48]	13 April 2024	3,636,472
110	863282×55179692 − 1	17 October 2024	3,620,456
111	670490×123352450 − 1	17 October 2024	3,617,907
112	4×37578378 + 1	9 September 2024	3,615,806
113	11×211993994 − 1	15 August 2024	3,610,554
114	3761×211978874 − 1	6 July 2022	3,606,004
115	95×211954552 − 1	28 May 2024	3,598,681
116	259072×55136295 − 1	28 October 2024	3,590,122
117	3×211895718 − 1 [49]	23 June 2015	3,580,969
118	37×211855148 + 1	30 May 2022	3,568,757
119	6339004524288 + 1 [50]	8 June 2023	3,566,218
120	763795×64582771 + 1	11 December 2023	3,566,095
121	5897794524288 + 1 [39]	18 December 2022	3,549,792
122	3×211731850 − 1 [51]	13 March 2015	3,531,640
123	69×211718455 − 1 [39]	4 December 2020	3,527,609
124	8629×211708579 − 1	19 September 2024	3,524,638
125	41×211676439 + 1 [39]	20 June 2022	3,514,960
126	4896418524288 + 1 [52]	15 May 2022	3,507,424
127	81×211616017 + 1 [39]	30 August 2022	3,496,772
128	69×211604348 − 1 [39]	4 December 2020	3,493,259
129	4450871×64450871 + 1 [39]	17 September 2023	3,463,458
130	9×211500843 + 1 [39]	13 March 2020	3,462,100
131	3×211484018 − 1 [53]	22 November 2014	3,457,035
132	193997×211452891 + 1 [54]	3 April 2018	3,447,670
133	29914×54930904 + 1	27 September 2024	3,446,559
134	3638450524288 + 1 [55]	29 May 2020	3,439,810
135	9221×211392194 − 1 [56]	7 February 2021	3,429,397
136	9×211366286 + 1	26 March 2020	3,421,594
137	5×211355764 − 1	2 October 2021	3,418,427
138	732050×64392301 + 1	9 September 2023	3,417,881
139	3214654524288 + 1 [57]	24 December 2019	3,411,613
140	632760! − 1	20 October 2024	3,395,992
141	146561×211280802 − 1 [58]	16 November 2020	3,395,865
142	51208×54857576 + 1	6 June 2024	3,395,305
143	2985036524288 + 1 [59]	18 September 2019	3,394,739
144	4591×211270837 − 1	2 January 2025	3,392,864
145	6929×211255424 − 1	7 July 2022	3,388,225
146	2877652524288 + 1 [60]	29 June 2019	3,386,397
147	2788032524288 + 1 [61]	17 April 2019	3,379,193
148	2733014524288 + 1 [62]	18 March 2019	3,374,655
149	9×211158963 + 1	13 March 2020	3,359,184
150	9271×211134335 − 1	17 January 2021	3,351,773
151	136804×54777253 − 1	1 March 2024	3,339,162
152	2312092524288 + 1 [63]	4 August 2018	3,336,572
153	987324×481974648 − 1	12 October 2024	3,319,866
154	2061748524288 + 1 [64]	20 March 2018	3,310,478
155	1880370524288 + 1 [65]	15 January 2018	3,289,511
156	27×210902757 − 1	7 March 2022	3,282,059
157	3×210829346 + 1 [66]	14 January 2014	3,259,959
158	11×210803449 + 1	29 May 2022	3,252,164
159	11×210797109 + 1	29 May 2022	3,250,255
160	7×210612737 − 1	19 May 2022	3,194,154
161	7351117# + 1	14 September 2024	3,191,401
162	37×210599476 + 1	17 June 2022	3,190,762
163	5×210495620 − 1	26 September 2021	3,159,498
164	${\displaystyle {\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}}$	30 June 2023	3,153,105
165	5×210349000 − 1	26 September 2021	3,115,361
166	${\displaystyle \Phi _{3}(-844833^{262144})}$	17 January 2017	3,107,335
167	52922×54399812 − 1	3 August 2023	3,075,342
168	${\displaystyle \Phi _{3}(-712012^{262144})}$	14 January 2017	3,068,389
169	177742×54386703 − 1	24 July 2023	3,066,180
170	4×36402015 + 1	9 September 2024	3,054,539
171	874208×541748416 − 1	26 September 2019	3,028,951
172	475856524288 + 1 [67]	8 August 2012	2,976,633
173	2×36236772 + 1	20 December 2022	2,975,697
174	15×39830108 + 1	19 August 2023	2,959,159
175	9×29778263 + 1	5 August 2020	2,943,552
176	198×5581061348 + 1	30 August 2024	2,915,138
177	1806676×411806676 + 1	11 March 2018	2,913,785
178	356926524288 + 1 [68]	20 June 2012	2,911,151
179	341112524288 + 1 [69]	15 June 2012	2,900,832
180	213988×54138363 − 1	29 November 2022	2,892,597
181	43×29596983 − 1	28 February 2022	2,888,982
182	121×29584444 + 1 [70]	18 November 2020	2,885,208
183	15×29482269 − 1	14 August 2024	2,854,449
184	6533299# − 1	18 August 2024	2,835,864
185	11×29381365 + 1	7 March 2020	2,824,074
186	15×29312889 + 1	7 August 2023	2,803,461
187	97×29305542 + 1	10 May 2025	2,801,250
188	93×29235048 + 1	7 May 2025	2,780,029
189	49×29187790 + 1	11 September 2022	2,765,803
190	6369619# + 1	12 August 2024	2,765,105
191	27653×29167433 + 1 [39]	8 June 2005	2,759,677
192	6354977# − 1	12 August 2024	2,758,832
193	90527×29162167 + 1	30 June 2010	2,758,093
194	6795×29144320 − 1	31 March 2021	2,752,719
195	31×29088085 − 1	27 August 2024	2,735,788
196	75×29079482 + 1	25 July 2023	2,733,199
197	1323365×1161323365 + 1 [71]	18 January 2018	2,732,038
198	57×29075622 − 1	7 August 2022	2,732,037
199	102718281 − 5×101631138 − 5×101087142 − 1	6 August 2024	2,718,281
200	63838×53887851 − 1 [72]	19 June 2022	2,717,497
201	13×28989858 + 1	10 March 2020	2,706,219
202	4159×28938471 − 1	19 April 2022	2,690,752
203	273809×28932416 − 1 [73]	13 December 2017	2,688,931
204	93×28898285 + 1	4 March 2024	2,678,653
205	2×35570081 + 1	14 February 2020	2,657,605
206	25×28788628 + 1 [74]	1 March 2021	2,645,643
207	2038×3661028507 − 1 [75]	4 April 2016	2,636,562
208	64598×53769854 − 1	14 June 2022	2,635,020
209	63×28741225 + 1	6 May 2024	2,631,373
210	8×785900325 + 1	4 June 2022	2,606,325
211	17×28636199 + 1 [76]	17 February 2021	2,599,757
212	75898524288 + 1 [77]	19 November 2011	2,558,647
213	25×28456828 + 1 [78]	27 January 2021	2,545,761
214	39×28413422 + 1 [79]	23 January 2021	2,532,694
215	31×28348000 + 1 [80]	19 January 2021	2,513,000
216	27×28342438 − 1 [81]	1 February 2021	2,511,326
217	3867×28261084 − 1	14 April 2021	2,486,838
218	101×28152967 + 1	2 December 2023	2,454,290
219	273662×53493296 − 1 [82]	7 December 2021	2,441,715
220	81×28109236 + 1	9 September 2022	2,441,126
221	11×28103463 + 1	6 March 2020	2,439,387
222	102818×53440382 − 1 [83]	8 October 2021	2,404,729
223	11×27971110 − 1	25 November 2019	2,399,545
224	27×27963247 + 1 [84]	14 January 2021	2,397,178
225	3177×27954621 − 1	13 June 2021	2,394,584
226	39×27946769 + 1 [85]	14 January 2021	2,392,218
227	7×63072198 + 1	4 August 2019	2,390,636
228	3765×27904593 − 1	10 January 2021	2,379,524
229	29×27899985 + 1 [86]	14 January 2021	2,378,134
230	5113×27895471 − 1	27 November 2022	2,376,778
231	861×27895451 − 1	21 February 2021	2,376,771
232	75×27886683 + 1	4 September 2023	2,374,131
233	2661×27861390 − 1	28 December 2024	2,366,518
234	99×27830910 + 1	24 April 2024	2,357,341
235	28433×27830457 + 1 [39]	31 December 2004	2,357,207
236	2589×27803339 − 1	21 August 2022	2,349,043
237	59×27792307 + 1	24 April 2024	2,345,720
238	101×27784453 + 1	24 April 2024	2,343,356
239	95×27778585 + 1	24 April 2024	2,341,590
240	8401×27767655 − 1	24 April 2023	2,338,302
241	9693×27767343 − 1	17 November 2023	2,338,208
242	5×27755002 − 1	23 September 2021	2,334,489
243	2945×27753232 − 1	27 November 2022	2,333,959
244	2×836798431 + 1	10 September 2024	2,333,181
245	63×27743186 + 1	24 April 2024	2,330,934
246	2545×27732265 − 1	13 January 2021	2,327,648
247	5539×27730709 − 1	15 January 2021	2,327,180
248	4817×27719584 − 1	13 June 2021	2,323,831
249	183×558842752 + 1	23 August 2024	2,314,734
250	1341174×531341174 + 1 [87]	21 August 2017	2,312,561
251	9467×27680034 − 1	20 February 2022	2,311,925
252	45×27661004 + 1 [88]	13 December 2020	2,306,194
253	15×27619838 + 1 [89]	6 December 2020	2,293,801
254	3597×27580693 − 1	10 January 2021	2,282,020
255	5256037# + 1	6 August 2024	2,281,955
256	3129×27545557 − 1	14 March 2023	2,271,443
257	7401×27523295 − 1	21 February 2021	2,264,742
258	45×27513661 + 1 [90]	12 November 2020	2,261,839
259	${\displaystyle \Phi _{3}(-558640^{196608})}$	11 January 2017	2,259,865
260	2739×27483537 − 1	1 May 2025	2,252,773
261	9×27479919 − 1	3 June 2023	2,251,681
262	1875×27474308 − 1	21 August 2022	2,249,995
263	69×27452023 + 1	23 March 2023	2,243,285
264	1281879×27447178 + 1	27 December 2023	2,241,831
265	9107×27417464 − 1	3 May 2025	2,232,884
266	4×53189669 − 1	12 July 2022	2,229,484
267	29×27374577 + 1 [91]	27 October 2020	2,219,971
268	2653×27368343 − 1	18 September 2024	2,218,096
269	21555×27364128 − 1	4 September 2024	2,216,828
270	3197×27359542 − 1	27 November 2022	2,215,447
271	109838×53168862 − 1 [92]	13 August 2020	2,214,945
272	95×27354869 + 1	25 September 2023	2,214,039
273	101×27345194 − 1	5 October 2019	2,211,126
274	85×27333444 + 1	25 September 2023	2,207,589
275	15×27300254 + 1 [93]	25 October 2020	2,197,597
276	422429! + 1	21 February 2022	2,193,027
277	1759×27284439 − 1	28 August 2021	2,192,838
278	1909683×141909683 + 1	27 May 2023	2,188,748
279	737×27269322 − 1	10 August 2017	2,188,287
280	6909×27258896 − 1	18 September 2024	2,185,150
281	93×27241494 + 1	25 September 2023	2,179,909
282	118568×53112069 + 1 [94]	1 May 2020	2,175,248
283	4215×27221386 − 1	27 December 2024	2,173,858
284	40×257901632 + 1	11 September 2024	2,172,875
285	1685×27213108 − 1	13 April 2025	2,171,366
286	580633×27208783 − 1	15 February 2024	2,170,066
287	6039×27207973 − 1	24 March 2021	2,169,820
288	502573×27181987 − 1 [95]	4 October 2014	2,162,000
289	402539×27173024 − 1 [96]	2 October 2014	2,159,301
290	3343×27166019 − 1	29 September 2016	2,157,191
291	4137×27132569 − 1	11 April 2025	2,147,121
292	161041×27107964 + 1 [97]	6 January 2015	2,139,716
293	294×213918952 − 1	19 September 2023	2,139,672
294	27×27046834 + 1 [98]	11 October 2018	2,121,310
295	1759×27046791 − 1	28 August 2021	2,121,299
296	327×27044001 − 1	13 January 2021	2,120,459
297	5×27037188 − 1	22 September 2021	2,118,406
298	3×27033641 + 1 [99]	21 February 2011	2,117,338
299	625783×27031319 − 1	10 February 2024	2,116,644
300	33661×27031232 + 1 [39]	30 October 2007	2,116,617
301	${\displaystyle \Phi _{3}(-237804^{196608})}$	6 January 2017	2,114,016
302	207494×53017502 − 1	16 March 2020	2,109,149
303	15×26993631 − 1	25 August 2021	2,105,294
304	8943501×26972593 − 1	8 January 2022	2,098,967
305	6020095×26972593 − 1	4 September 2022	2,098,967
306	26972593 − 1 [100]	1 June 1999	2,098,960
307	273×26963847 − 1	16 November 2022	2,096,330
308	6219×26958945 − 1	7 January 2021	2,094,855
309	51×26945567 + 1	26 May 2020	2,090,826
310	8×102084563 − 1	1 June 2025	2,084,564
311	3323×26921196 − 1	18 September 2024	2,083,492
312	238694×52979422 − 1 [101]	12 March 2020	2,082,532
313	4×721119849 − 1 [75]	7 September 2016	2,079,933
314	129×26900230 + 1	5 June 2025	2,077,179
315	33×26894190 − 1	27 July 2021	2,075,360
316	4778027# − 1	31 July 2024	2,073,926
317	105×26884697 + 1	2 June 2025	2,072,503
318	2345×26882320 − 1	13 April 2022	2,071,789
319	57×26857990 + 1	17 August 2023	2,064,463
320	146264×52953282 − 1 [102]	9 March 2020	2,064,261
321	69×26838971 − 1	1 March 2020	2,058,738
322	35816×52945294 − 1 [103]	5 March 2020	2,058,677
323	127×26836153 − 1	25 June 2018	2,057,890
324	105×26835099 + 1	26 May 2025	2,057,572
325	19×26833086 + 1 [104]	24 October 2020	2,056,966
326	66342922262144 + 1	5 July 2025	2,050,305
327	66266188262144 + 1	3 July 2025	2,050,305
328	65×26810465 + 1	22 September 2023	2,050,157
329	40597×26808509 − 1 [105]	25 December 2013	2,049,571
330	283×26804701 − 1	19 January 2020	2,048,431
331	65136498262144 + 1	20 June 2025	2,048,348
332	64989720262144 + 1	18 June 2025	2,048,091
333	64074894262144 + 1	30 May 2025	2,046,447
334	64010198262144 + 1	30 May 2025	2,046,362
335	63833640262144 + 1	27 May 2025	2,046,047
336	8×102045966 − 1	31 May 2025	2,045,967
337	63784742262144 + 1	26 May 2025	2,045,960
338	63558122262144 + 1	27 May 2025	2,045,555
339	63448958262144 + 1	22 May 2025	2,045,359
340	63286690262144 + 1	19 May 2025	2,045,068
341	62767176262144 + 1	9 May 2025	2,044,129
342	62747994262144 + 1	9 May 2025	2,044,095
343	1861209×26789999 + 1	2 December 2020	2,044,000
344	5817×26789459 − 1	9 January 2021	2,043,835
345	62311952262144 + 1	3 May 2025	2,043,301
346	62199610262144 + 1	5 May 2025	2,043,095
347	62152830262144 + 1	1 May 2025	2,043,010
348	62136706262144 + 1	2 May 2025	2,042,980
349	8435×26786180 − 1	7 January 2021	2,042,848
350	61238184262144 + 1	21 April 2025	2,041,322
351	119×26777781 + 1	18 May 2025	2,040,318
352	59145944262144 + 1	29 March 2025	2,037,364
353	58936230262144 + 1	28 March 2025	2,036,960
354	58870004262144 + 1	28 March 2025	2,036,832
355	58846688262144 + 1	28 March 2025	2,036,787
356	58333324262144 + 1	28 March 2025	2,035,789
357	58288282262144 + 1	28 March 2025	2,035,701
358	57643582262144 + 1	28 March 2025	2,034,435
359	57594478262144 + 1	28 March 2025	2,034,338
360	57478518262144 + 1	28 March 2025	2,034,108
361	57429230262144 + 1	27 March 2025	2,034,111
362	51×26753404 + 1	26 May 2020	2,032,979
363	93×26750726 + 1	18 September 2023	2,032,173
364	56303352262144 + 1	27 March 2025	2,031,757
365	56295176262144 + 1	26 March 2025	2,031,740
366	55952434262144 + 1	26 March 2025	2,031,045
367	55892864262144 + 1	27 March 2025	2,030,920
368	69×26745775 + 1	21 March 2023	2,030,683
369	55702322262144 + 1	27 March 2025	2,030,535
370	55695224262144 + 1	25 March 2025	2,030,520
371	55169618262144 + 1	25 March 2025	2,029,441
372	55007338262144 + 1	25 March 2025	2,029,105
373	54852328262144 + 1	25 March 2025	2,028,784
374	54528918262144 + 1	26 March 2025	2,028,111
375	54044092262144 + 1	24 March 2025	2,027,094
376	53903472262144 + 1	24 March 2025	2,026,797
377	53750036262144 + 1	24 March 2025	2,026,473
378	53616962262144 + 1	28 March 2025	2,026,191
379	53311612262144 + 1	24 March 2025	2,025,540
380	53008094262144 + 1	23 March 2025	2,024,890
381	52648144262144 + 1	21 March 2025	2,024,115
382	52599274262144 + 1	20 March 2025	2,024,009
383	52592976262144 + 1	21 March 2025	2,023,995
384	117×26719464 + 1	10 May 2025	2,022,763
385	51992174262144 + 1	16 March 2025	2,022,687
386	51852794262144 + 1	14 March 2025	2,022,382
387	51714136262144 + 1	13 March 2025	2,022,077
388	51283286262144 + 1	9 March 2025	2,021,124
389	51125138262144 + 1	7 March 2025	2,020,773
390	9995×26711008 − 1	31 December 2020	2,020,219
391	50454356262144 + 1	1 March 2025	2,019,269
392	50449664262144 + 1	28 February 2025	2,019,259
393	50366208262144 + 1	28 February 2025	2,019,070
394	50121532262144 + 1	27 February 2025	2,018,516
395	49536902262144 + 1	25 February 2025	2,017,180
396	49235348262144 + 1	23 February 2025	2,016,485
397	49209090262144 + 1	23 February 2025	2,016,424
398	48055302262144 + 1	18 February 2025	2,013,723
399	47707672262144 + 1	16 February 2025	2,012,896
400	39×26684941 + 1 [106]	20 October 2020	2,012,370
401	47351862262144 + 1	15 February 2025	2,012,044
402	47281922262144 + 1	13 February 2025	2,011,876
403	47255958262144 + 1	13 February 2025	2,011,813
404	6679881×26679881 + 1 [107]	25 July 2009	2,010,852
405	46831458262144 + 1	11 February 2025	2,010,786
406	46378776262144 + 1	8 February 2025	2,009,680
407	45073202262144 + 1	21 January 2025	2,006,469
408	45007104262144 + 1	19 January 2025	2,006,202
409	44819108262144 + 1	14 January 2025	2,005,786
410	44666524262144 + 1	12 January 2025	2,005,397
411	37×26660841 − 1 [75]	30 July 2014	2,005,115
412	44144624262144 + 1	29 December 2024	2,004,059
413	44030166262144 + 1	30 December 2024	2,003,764
414	43330794262144 + 1	3 December 2024	2,001,941
415	39×26648997 + 1 [108]	20 October 2020	2,001,550
416	42781592262144 + 1	18 November 2024	2,000,489
417	102000007 − 101127194 − 10872812 − 1	12 January 2024	2,000,007
418	102000005 − 101051046 − 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[109]	Number	Discovery date	Decimal digits
1	${\displaystyle {\tfrac {10^{8177207}-1}{9}}}$ [109]	8 May 2021	8,177,207
2	${\displaystyle {\tfrac {10^{5794777}-1}{9}}}$ [109]	20 April 2021	5,794,777
3	${\displaystyle {\tfrac {2^{15135397}+1}{3}}}$ [109]	June 2021	4,556,209
4	${\displaystyle {\tfrac {3^{8530117}-1}{2}}}$ [109]	November 2023	4,069,900
5	213380298 − 27 [109]	March 2021	4,027,872
6	${\displaystyle {\tfrac {2^{13372531}+1}{3}}}$ [109]	September 2013	4,025,533
7	${\displaystyle {\tfrac {2^{13347311}+1}{3}}}$ [109]	September 2013	4,017,941
8	${\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}$ [109]	3 July 2022	3,829,294
9	${\displaystyle {\tfrac {3^{7973131}-1}{2}}}$ [109]	November 2023	3,804,150
10	${\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}$ [109]	10 April 2023	3,789,365
11	${\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}$ [109]	July 2020	3,763,995
12	${\displaystyle {\tfrac {5^{5154509}-1}{4}}}$ [109]	February 2024	3,602,847
13	${\displaystyle {\tfrac {5^{4939471}-1}{4}}}$ [109]	January 2024	3,452,542
14	${\displaystyle {\tfrac {3^{7034611}+1}{4}}}$ [109]	December 2024	3,356,362
15	${\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}$ [109]	9 July 2020	3,143,811
16	29092392 + 40291 [109]	February 2011	2,737,083
17	${\displaystyle {\tfrac {14^{2307467}+1}{15}}}$ [109]	June 2025	2,644,652
18	${\displaystyle {\tfrac {6^{3360347}-1}{5}}}$ [109]	October 2023	2,614,858
19	${\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}$ [109]	3 June 2024	2,482,834
20	${\displaystyle {\tfrac {17^{1990523}-1}{16}}}$ [109]	August 2020	2,449,236
21	${\displaystyle {\tfrac {35963^{524288}+1}{2}}}$ [109]	August 2022	2,388,581
22	50018654465 + 54465500186 [109]	August 2024	2,368,940
23	${\displaystyle {\tfrac {11^{2264611}+1}{12}}}$ [109]	July 2021	2,358,349
24	${\displaystyle {\tfrac {5^{3300593}-1}{4}}}$ [109]	February 2022	2,307,015
25	${\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}$ [109]	December 2023	2,239,990
26	${\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}$ [109]	1 March 2018	2,201,714
27	${\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}$ [109]	December 2023	2,181,134
28	${\displaystyle {\tfrac {15^{1848811}+1}{16}}}$ [109]	July 2024	2,174,370
29	F(10367321) [109]	10 August 2024	2,166,642
30	${\displaystyle {\tfrac {15^{1841911}+1}{16}}}$ [109]	July 2024	2,166,255
31	34532794 + 45327943 [109]	October 2023	2,162,693
32	F(10317107) [109]	27 July 2024	2,156,148
33	${\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}$ [109]	27 October 2017	2,131,318
34	360834356345 + 356345360834 [109]	February 2024	2,003,304
35	360339356572 + 356572360339 [109]	May 2024	2,000,656

See also

• Largest known prime number