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	(**)
136126	9 · 2^7479919 - 1	2251681	L3345	Jun 2023
136129	24678636²⁶²¹⁴⁴ + 1	1937853	L5586	Jun 2023	Generalized Fermat
136133	167845698¹³¹⁰⁷² + 1	1078056	L5735	Jun 2023	Generalized Fermat
136139	8997 · 2^3472036 + 1	1045191	L5302	Jun 2023
136136	9473 · 2^3471885 + 1	1045146	L5294	Jun 2023
136122	11754128376394782080351\ 49360635999371658705159870633484377238553812244526\ 11844232886228245901292532817349347812678729599864⁸¹⁹² + 1	1000000	L5749	Jun 2023	Generalized Fermat (**)
136130	113 · 1010²⁴²¹⁹⁴ - 1	727631	L5789	Jun 2023
136142	274737458⁶⁵⁵³⁶ + 1	553053	L5634	Jun 2023	Generalized Fermat
136141	274690448⁶⁵⁵³⁶ + 1	553049	L5143	Jun 2023	Generalized Fermat
136135	274372420⁶⁵⁵³⁶ + 1	553016	L5639	Jun 2023	Generalized Fermat
136131	274269120⁶⁵⁵³⁶ + 1	553005	L5639	Jun 2023	Generalized Fermat
136134	274179144⁶⁵⁵³⁶ + 1	552996	L5526	Jun 2023	Generalized Fermat
136138	272445424⁶⁵⁵³⁶ + 1	552815	L5416	Jun 2023	Generalized Fermat
136137	271079666⁶⁵⁵³⁶ + 1	552672	L5416	Jun 2023	Generalized Fermat
136140	270729942⁶⁵⁵³⁶ + 1	552635	L5416	Jun 2023	Generalized Fermat
136132	270650780⁶⁵⁵³⁶ + 1	552627	L5416	Jun 2023	Generalized Fermat
94622	2757 · 2⁵⁴⁷⁴⁷⁵ + 1	164810	L1387	Sep 2010
92724	4953 · 2⁵⁰⁶⁰⁸⁴ + 1	152351	L1387	May 2010
88690	3111 · 2⁴⁵⁷³⁸³ + 1	137690	L868	Jun 2009

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

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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 548276 digits or meet the size requirements for it's archivable form. (Query time: 0.001178 seconds.)