5166409399321812845 · 10237724 - 1
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: | 5166409399321812845 · 10237724 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | p313 : Broadhurst, Srsieve, OpenPFGW |
| Decimal Digits: | 237743 (log10 is 237742.71318882) |
| Rank (*): | 27446 (digit rank is 1) |
| Entrance Rank (*): | 2200 |
| Currently on list? (*): | no |
| Submitted: | 9/20/2011 17:58:14 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 6/8/2012 01:56:18 UTC |
| Database id: | 102111 |
| Status Flags: | none |
| Score (*): | 42.2201 (normalized score 0.0632) |
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 102111 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/pfgw -o -f -q"5166409399321812845*10^237724-1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 5166409399321812845*10^237724-1 1/1 mro=0 trial factoring to 85829828 5166409399321812845*10^237724-1 has no small factor. [Elapsed time: 1585.033 seconds] modified 2020-07-07 22:30:30 created 2011-09-20 18:05:02 id 133788
field value prime_id 102111 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -tp -q"5166409399321812845*10^237724-1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 5166409399321812845*10^237724-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 69.89% 5166409399321812845*10^237724-1 is prime! (29115.5492s+0.0227s) [Elapsed time: 8.09 hours] modified 2020-07-07 22:30:30 created 2011-09-20 18:23:01 id 133789
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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