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
141037	18099898⁵²⁴²⁸⁸ + 1	3805113	x50	Sep 2025	Generalized Fermat
141034	68717884²⁶²¹⁴⁴ + 1	2054441	L6278	Aug 2025	Generalized Fermat
141038	356295678¹³¹⁰⁷² + 1	1120903	L6090	Sep 2025
141033	355982986¹³¹⁰⁷² + 1	1120853	L4753	Aug 2025	Generalized Fermat
141036	979 · 2^2432857 - 1	732366	A74	Sep 2025
141035	(V(27730, 1, 16209) + 1)/(V(27730, 1, 9) + 1)	71976	CH15	Sep 2025	Lehmer primitive part (**)

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

Modify this display:

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 714285 digits or meet the size requirements for it's archivable form. (Query time: 0.001666 seconds.)