
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help)  value 
Description:  9265 · 2^{482072} + 1 
Verification status (*):  Proven 
Official Comment:  Divides GF(482070,10) 
Proofcode(s): (*):  L635 : Vogel, Srsieve, PrimeGrid, LLR 
Decimal Digits:  145123 (log_{10} is 145122.09891515) 
Rank (*):  30707 (digit rank is 1) 
Entrance Rank (*):  4121 
Currently on list? (*):  short 
Submitted:  10/17/2009 15:14:01 CDT 
Last modified:  10/20/2009 10:20:03 CDT 
Database id:  90504 
Status Flags:  none 
Score (*):  40.7012 (normalized score 0.0484) 

Archival tags:
There are certain forms classed as
archivable: these prime may (at times)
remain on this list even if they do not make
the Top 5000 proper. Such primes are tracked with archival
tags.
 Generalized Fermat Divisors (bases 3,5,6,10,12) (archivable *)
 Prime on list: yes, rank 20, weight 49.835214151824
Subcategory: "Divides GF(*,10)"
(archival tag id 210533, tag last modified 20160315 13:57:15)
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.
field  value 
prime_id  90504 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 9265 2 482072 1 2>&1 [Elapsed time: 9.378 seconds]

modified  20111227 16:48:41 
created  20091017 15:18:01 
id  110381 

field  value 
prime_id  90504 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw t q"9265*2^482072+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 9265*2^482072+1 [N1, BrillhartLehmerSelfridge] Running N1 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) 964180 bit request FFT size=(57344,17) Calling BrillhartLehmerSelfridge with factored part 100.00% 9265*2^482072+1 is prime! (1141.6600s+0.0000s) [Elapsed time: 19.07 minutes]

modified  20091124 13:57:50 
created  20091017 15:23:01 
id  110382 

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
