192335307 · 225000 - 5131
|Description:||192335307 · 225000 - 5131|
|Verification status (*):||PRP|
|Official Comment (*):||ECPP, consecutive primes arithmetic progression (1,d=5130)|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c8 : Water, Broadhurst, Primo|
|Decimal Digits:||7535 (log10 is 7534.0339506145)|
|Rank (*):||80163 (digit rank is 27)|
|Entrance Rank (*):||67588|
|Currently on list? (*):||no|
|Submitted:||9/4/2013 18:11:44 CDT|
|Last modified:||9/4/2013 18:50:28 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||31.562 (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: no, rank 15
Subcategory: "Consecutive primes in arithmetic progression (1,d=*)"
(archival tag id 217234, tag last modified 2020-04-27 12:20:26)
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: no, rank 142
Subcategory: "Arithmetic progression (1,d=*)"
(archival tag id 217235, tag last modified 2020-04-27 12:20:24)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 310
(archival tag id 217236, tag last modified 2021-05-04 10:20:37)
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 115383 person_id 9 machine RedHat P4 P4 what prp notes Command: /home/caldwell/client/pfgw -tc -q"192335307*2^25000-5131" 2>&1 PFGW Version 18.104.22.168BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 192335307*2^25000-5131 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 3 Running N+1 test using discriminant 7, base 2+sqrt(7) Calling N-1 BLS with factored part 0.02% and helper 0.02% (0.10% proof) 192335307*2^25000-5131 is Fermat and Lucas PRP! (10.0571s+0.0003s) [Elapsed time: 10.00 seconds] modified 2020-07-07 17:30:18 created 2013-09-04 18:23:01 id 160870
Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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