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
136107	Phi(3, - 465859^1048576)	11887192	L4561	May 2023	(**)
136113	24429706²⁶²¹⁴⁴ + 1	1936699	L4670	May 2023	Generalized Fermat
136117	105 · 2^4113039 + 1	1238151	L5178	Jun 2023
136121	167604930¹³¹⁰⁷² + 1	1077974	L4859	Jun 2023
136112	1913 · 2^3471177 + 1	1044932	L5189	May 2023
136111	7723 · 2^3471074 + 1	1044902	L5189	May 2023
136110	5593 · 2^3470520 + 1	1044735	L5387	May 2023
136122	11754128376394782080351\ 49360635999371658705159870633484377238553812244526\ 11844232886228245901292532817349347812678729599864⁸¹⁹² + 1	1000000	L5749	Jun 2023
136114	133 · 488²⁷⁹⁹⁷³ - 1	752688	L541	Jun 2023
136120	541 · 2^2427667 - 1	730804	L5516	Jun 2023
136116	539 · 2^2425704 - 1	730213	L5516	Jun 2023
136115	527 · 2^2424868 - 1	729961	L5516	Jun 2023
136106	433 · 2^2423839 - 1	729651	L5516	May 2023
136119	273780490⁶⁵⁵³⁶ + 1	552954	L5077	Jun 2023	Generalized Fermat
136118	273679286⁶⁵⁵³⁶ + 1	552944	L4999	Jun 2023	Generalized Fermat
136109	273465348⁶⁵⁵³⁶ + 1	552921	L5143	May 2023	Generalized Fermat
136108	273412686⁶⁵⁵³⁶ + 1	552916	L5785	May 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.

Note: There is one hidden submission (** info).

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 548108 digits or meet the size requirements for it's archivable form. (Query time: 0.002101 seconds.)