4631 · 2483043 + 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:4631 · 2483043 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1158 : Vogel, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:145415   (log10 is 145414.0978703)
Rank (*):37117 (digit rank is 2)
Entrance Rank (*):4597
Currently on list? (*):no
Submitted:12/25/2009 11:22:52 CDT
Last modified:12/25/2009 11:50:28 CDT
Removed (*):2/8/2010 17:13:42 CDT
Database id:91262
Status Flags:none
Score (*):40.7074 (normalized score 0.0241)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"4631*2^483043+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 4631*2^483043+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) 966120 bit request FFT size=(57344,17) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 4631*2^483043+1 is prime! (1147.2900s+0.0000s) [Elapsed time: 19.15 minutes]
modified2020-07-07 17:30:36
created2009-12-25 11:23:02

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 4631 2 483043 1 2>&1 [Elapsed time: 9.824 seconds]
modified2020-07-07 17:30:36
created2009-12-25 11:35:02

Query times: 0.0006 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.