17152 · 51131205 - 1
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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:17152 · 51131205 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3552 : Benson2, Srsieve, PrimeGrid, LLR
Decimal Digits:790683   (log10 is 790682.59806969)
Rank (*):1168 (digit rank is 1)
Entrance Rank (*):124
Currently on list? (*):short
Submitted:6/23/2013 13:06:57 CDT
Last modified:6/25/2013 01:20:27 CDT
Database id:114469
Status Flags:none
Score (*):45.9123 (normalized score 5.6429)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -tp -q"17152*5^1131205-1" 2>&1
PFGW Version [GWNUM 26.5]
Primality testing 17152*5^1131205-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 3, base 1+sqrt(3)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
17152*5^1131205-1 is prime! (129934.1852s+0.1316s)
[Elapsed time: 1.50 days]
modified2013-08-16 09:44:46
created2013-06-23 13:08:01

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 17152 5 1131205 -1 2>&1
[Elapsed time: 10.247 seconds]
modified2013-08-16 09:44:46
created2013-06-23 13:18:02

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.