10320236 + 10160118 + 1 + (137 · 10160119 + 731 · 10159275) · (10843 - 1)/999

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This prime's information:

Description:10320236 + 10160118 + 1 + (137 · 10160119 + 731 · 10159275) · (10843 - 1)/999
Verification status (*):Proven
Official Comment (*):Palindrome
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p44 : Broadhurst, OpenPFGW
Decimal Digits:320237   (log10 is 320236)
Rank (*):21453 (digit rank is 1)
Entrance Rank (*):5838
Currently on list? (*):short
Submitted:3/6/2014 00:17:39 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:117373
Status Flags:none
Score (*):43.136 (normalized score 0.1545)

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.
Palindrome (archivable *)
Prime on list: yes, rank 13
Subcategory: "Palindrome"
(archival tag id 217638, tag last modified 2024-01-17 08:37:12)

User comments about this prime (disclaimer):

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David Broadhurst writes (11 Sep 2014):  (report abuse)
1 (0)_{159274} (137)_{281} 1 (731)_{281} (0)_{159274} 1

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 -tc -q"Phi(3,10^160118)+(137*10^160119+731*10^159275)*(10^843-1)/999" 2>&1 PFGW Version [GWNUM 26.5] Primality testing Phi(3,10^160118)+(137*10^160119+731*10^159275)*(10^843-1)/999 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 13, base 1+sqrt(13) Calling N-1 BLS with factored part 49.74% and helper 0.00% (149.22% proof) Phi(3,10^160118)+(137*10^160119+731*10^159275)*(10^843-1)/999 is prime! (70153.8112s+0.3753s) [Elapsed time: 19.49 hours]
modified2020-07-07 22:30:17
created2014-03-06 00:29:27

Query times: 0.0015 seconds to select prime, 0.0006 seconds to seek comments.
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