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 verificiation (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
136454	294 · 213⁹¹⁸⁹⁵² - 1	2139672	L5811	Sep 2023
136461	65 · 2^6810465 + 1	2050157	A2	Sep 2023	(**)
136460	3801 · 2^3482723 + 1	1048408	L5517	Sep 2023
136459	2778 · 991²⁶⁹¹⁶² + 1	806433	p433	Sep 2023
136458	288721164⁶⁵⁵³⁶ + 1	554466	L5772	Sep 2023	Generalized Fermat
136457	288686746⁶⁵⁵³⁶ + 1	554463	L5639	Sep 2023	Generalized Fermat
136456	288683836⁶⁵⁵³⁶ + 1	554463	L5823	Sep 2023	Generalized Fermat
136455	288675878⁶⁵⁵³⁶ + 1	554462	L5772	Sep 2023	Generalized Fermat

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

short On the short version of the list

yes On the long version of 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
short	On the short version of the list
yes	On the long version of 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 551820 digits or meet the size requirements for it's archivable form. (Query time: 0.001252 seconds.)