Prime Verification Status

Before primes are added to the List of Largest Known Primes, they must be first be verified, comments must be checked, and they must meet the size requirements. Below we show the status of these primes (if any) that are awaiting verification (of any age) as well as those modified (for any reason) in the last 72 hours. Click on the prime's id for more detailed information. The color code is at the bottom of the page.

id	prime	digits	who	when	comment
141484	20221496⁵²⁴²⁸⁸ + 1	3830351	L6307	Jan 2026
141462	19409636⁵²⁴²⁸⁸ + 1	3821021	L4249	Jan 2026	Generalized Fermat
141482	77784266²⁶²¹⁴⁴ + 1	2068550	L4729	Jan 2026
141480	77708974²⁶²¹⁴⁴ + 1	2068440	L5452	Jan 2026	Generalized Fermat
141469	77662142²⁶²¹⁴⁴ + 1	2068372	L4591	Jan 2026	Generalized Fermat
141479	1019 · 2^4088075 + 1	1230637	L5969	Jan 2026
141481	643 · 2^4082060 + 1	1228826	L5197	Jan 2026
141475	95 · 2^3866678 - 1	1163989	A77	Jan 2026
141485	391427228¹³¹⁰⁷² + 1	1126256	L4387	Jan 2026
141470	390305940¹³¹⁰⁷² + 1	1126093	L6303	Jan 2026	Generalized Fermat
141478	390084334¹³¹⁰⁷² + 1	1126061	L6306	Jan 2026	Generalized Fermat
141476	388743508¹³¹⁰⁷² + 1	1125865	L6305	Jan 2026	Generalized Fermat
141483	779 · 2^2636892 - 1	793787	A76	Jan 2026
141474	605 · 2^2628738 - 1	791332	A84	Jan 2026
141477	861 · 2^2628649 - 1	791306	A76	Jan 2026
141471	(2¹³²⁹²⁹ - 1)/20541796\ 01105776846215055956722560390485432904126229271473	39959	E18	Jan 2026	Mersenne cofactor, ECPP (**)

Legend

Prime Description Color Codes

Composite Proven composite

Remove Scheduled for deletion because it is too small or proven composite

UnTested Not yet tested

InProcess Currently being tested

Probable-prime Shown to be a PRP, awaiting further testing (see note).

Proven Proven prime

External Proven prime, externally verified

Note: Only proven primes are accepted on this list. These colors refer the status of this list's re-verification process only.

Prime Description Color Codes
Composite	Proven composite
Remove	Scheduled for deletion because it is too small or proven composite
UnTested	Not yet tested
InProcess	Currently being tested
Probable-prime	Shown to be a PRP, awaiting further testing (see note).
Proven	Proven prime
External	Proven prime, externally verified
Note: Only proven primes are accepted on this list. These colors refer the status of this list's re-verification process only.

Rank/Id Color Codes

yes On the list

no Not on the current list

(unknown) Not yet re-ranked

Note: This list is (re)ranked every 30 minutes.

Rank/Id Color Codes
yes	On the list
no	Not on the current list
(unknown)	Not yet re-ranked
Note: This list is (re)ranked every 30 minutes.

Description Notation

\ back-quote (23\ 45 = 2345, used to allow long integers to line wrap)

# primorial (9# = 7*5*3*2)

!, !_n factorial, multifactorial

Phi(n,x) nth cyclotomic polynomial evaluated at x

Description Notation
\	back-quote (23\ 45 = 2345, used to allow long integers to line wrap)
#	primorial (9# = 753*2)
!, !_n	factorial, multifactorial
Phi(n,x)	nth cyclotomic polynomial evaluated at x

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Include those modified (for any reason) in the last hours. (Use 0 to just see those in process or awaiting verification.)

We at the PrimePages attempt to keep a list of the 5000 largest known primes plus a few each of certain selected archivable forms. To make the top 5000 today a prime must have 777182 digits or meet the size requirements for it's archivable form. (Query time: 0.008126 seconds.)