"15238445279350815802...(398164 other digits)...70851559196354845061"
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: 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:
Description: | "15238445279350815802...(398164 other digits)...70851559196354845061" |
---|---|
Verification status (*): | Proven |
Official Comment (*): | [none] |
Unofficial Comments: | This prime has 1 user comment below. |
Proof-code(s): (*): | p44 : Broadhurst, OpenPFGW |
Decimal Digits: | 398204 (log10 is 398203.18294066) |
Rank (*): | 14813 (digit rank is 1) |
Entrance Rank (*): | 931 |
Currently on list? (*): | no |
Submitted: | 2/12/2013 01:34:56 UTC |
Last modified: | 3/11/2023 15:54:10 UTC |
Removed (*): | 2/18/2018 22:16:26 UTC |
Database id: | 111195 |
Blob database id: | 288 |
Status Flags: | none |
Score (*): | 43.8057 (normalized score 0.2603) |
Description: (from blob table id=288)
[This prime has a pre-calculated decimal expansion (linked blob)]
User comments about this prime (disclaimer):
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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 111195 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/pfgw -o -f p_111195.txt 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 1523844527935081....1559196354845061 1/1 mro=0 trial factoring to 148535086 1523844527...6354845061 has no small factor. [Elapsed time: 19835.626 seconds] modified 2020-07-07 22:30:23 created 2013-02-12 01:35:02 id 152659
field value prime_id 111195 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -tc p_111195.txt 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 1523844527...6354845061 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N-1 test using base 13 Running N-1 test using base 17 Running N+1 test using discriminant 29, base 4+sqrt(29) Calling N-1 BLS with factored part 50.00% and helper 0.00% (150.00% proof) 1523844527...6354845061 is prime! (170852.0052s+6.1847s) [Elapsed time: 1.98 days] modified 2020-07-07 22:30:23 created 2013-02-12 02:05:18 id 152661
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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