This site will be down for maintenance beginning noon CDT (5pm UTC) Wed April 14
"10000000000000000000...(34053 other digits)...00000000000000532669"
|Description:||"10000000000000000000...(34053 other digits)...00000000000000532669"|
|Verification status (*):||PRP|
|Official Comment (*):||ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c84 : Underwood, Primo|
|Decimal Digits:||34093 (log10 is 34092)|
|Rank (*):||60708 (digit rank is 1)|
|Entrance Rank (*):||55240|
|Currently on list? (*):||short|
|Submitted:||11/23/2016 08:03:47 CDT|
|Last modified:||8/2/2017 08:05:13 CDT|
|Blob database id:||359|
|Status Flags:||Verify, TrialDiv|
|Score (*):||36.2347 (normalized score 0.0002)|
title='from prime_blob table' id='blob'>Description: (from blob table id=359)
Arranged in a 103 by 331 grid this prime depicts the Mersenne prime exponent 57,885,161
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.
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 122527 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes Command: /home/caldwell/client/pfgw/pfgw64 -tc p_122527.txt 2>&1 PFGW Version 184.108.40.206BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 1000000000...0000532669 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 2+sqrt(7) Calling N+1 BLS with factored part 0.05% and helper 0.02% (0.15% proof) 1000000000...0000532669 is Fermat and Lucas PRP! (92.2635s+0.0162s) [Elapsed time: 1.53 minutes] modified 2020-07-07 17:30:16 created 2016-11-23 08:11:02 id 168168
Query times: 0.0005 seconds to select prime, 0.0009 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.