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25506692100 · 7001# + 7811555783
|Description:||25506692100 · 7001# + 7811555783|
|Verification status (*):||PRP|
|Official Comment (*):||Consecutive primes arithmetic progression (4,d=30), ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||x38 : Broadhurst, Primo, OpenPFGW|
|Decimal Digits:||3020 (log10 is 3019.7524799691)|
|Rank (*):||89279 (digit rank is 5)|
|Entrance Rank (*):||77645|
|Currently on list? (*):||short|
|Submitted:||10/21/2013 15:14:06 CDT|
|Last modified:||10/21/2013 15:50:27 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||28.7209 (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.
- Consecutive Primes in Arithmetic Progression (archivable class *)
- Prime on list: yes, rank 5
Subcategory: "Consecutive primes in arithmetic progression (4,d=*)"
(archival tag id 217327, tag last modified 2019-10-14 10:50:04)
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: no, rank 185, weight 37.9386997636437
Subcategory: "Arithmetic progression (4,d=*)"
(archival tag id 217328, tag last modified 2019-10-14 10:50:03)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 609
(archival tag id 217329, tag last modified 2020-09-18 15:20:29)
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 116054 person_id 9 machine Ditto P4 P4 what prp notes Command: /home/ditto/client/pfgw -tc -q"25506692100*7001#+7811555783" 2>&1 PFGW Version 188.8.131.52BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 25506692100*7001#+7811555783 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Running N+1 test using discriminant 11, base 2+sqrt(11) Calling N+1 BLS with factored part 0.34% and helper 0.18% (1.23% proof) 25506692100*7001#+7811555783 is Fermat and Lucas PRP! (2.8256s+0.0006s) [Elapsed time: 3.00 seconds] modified 2020-07-07 17:30:18 created 2013-10-21 15:38:11 id 161556
Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.
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