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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help) | value |
Description: | 587027392600 · 2477# · 16 - 1 |
Verification status (*): | Proven |
Official Comment: | Cunningham chain (16p+15) |
Proof-code(s): (*): | p382 : Oestlin, NewPGen, OpenPFGW |
Decimal Digits: | 1070 (log10 is 1069.8730251137) |
Rank (*): | 111716 (digit rank is 13) |
Entrance Rank (*): | 108665 |
Currently on list? (*): | short |
Submitted: | 3/29/2016 02:14:08 CDT |
Last modified: | 3/29/2016 02:50:40 CDT |
Database id: | 121490 |
Status Flags: | TrialDiv |
Score (*): | 25.4833 (normalized score 0) |
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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.
- Cunningham Chains (1st kind) (archivable class *)
- Prime on list: yes, rank 5, weight 45.9024608640709
Subcategory: "Cunningham chain (16p+15)"
(archival tag id 218295, tag last modified 2016-10-15 14:50:51)
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.
field | value |
prime_id | 121490 |
person_id | 9 |
machine | Using: Xeon 4c+4c 3.5GHz |
what | prime |
notes | Command: /home/caldwell/client/pfgw/pfgw64 -tp -q"587027392600*2477#*16-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 587027392600*2477#*16-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 2503, base 1+sqrt(2503) Calling Brillhart-Lehmer-Selfridge with factored part 33.51%
587027392600*2477#*16-1 is prime! (0.7896s+0.0004s) [Elapsed time: 1.00 seconds]
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modified | 2016-04-08 12:40:26 |
created | 2016-03-29 02:21:01 |
id | 167120 |
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Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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