1288726869465789 · 234567 - 5
|Description:||1288726869465789 · 234567 - 5|
|Verification status (*):||PRP|
|Official Comment (*):||ECPP, Triplet (1)|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c58 : Kaiser1, NewPGen, OpenPFGW, Primo|
|Decimal Digits:||10421 (log10 is 10420.814021)|
|Rank (*):||76012 (digit rank is 3)|
|Entrance Rank (*):||66586|
|Currently on list? (*):||short|
|Submitted:||4/16/2014 14:45:41 CDT|
|Last modified:||4/16/2014 15:52:10 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||32.5678 (normalized score 0)|
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.
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 188
(archival tag id 217672, tag last modified 2020-11-23 19:50:21)
- Triplet (archivable class *)
- Prime on list: yes, rank 5
Subcategory: "Triplet (1)"
(archival tag id 217673, tag last modified 2019-04-23 14:20:12)
User comments about this prime (disclaimer):
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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 117633 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -tc -q"1288726869465789*2^34567-5" 2>&1 PFGW Version 126.96.36.199BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 1288726869465789*2^34567-5 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 1+sqrt(5) Calling N+1 BLS with factored part 0.11% and helper 0.05% (0.38% proof) 1288726869465789*2^34567-5 is Fermat and Lucas PRP! (87.1941s+0.0004s) [Elapsed time: 87.00 seconds] modified 2020-07-07 17:30:17 created 2014-04-16 15:24:50 id 163174
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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