(264 - 189) · 10413500 + 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: | (264 - 189) · 10413500 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | p342 : Trice, OpenPFGW |
| Decimal Digits: | 413520 (log10 is 413519.26591972) |
| Rank (*): | 14075 (digit rank is 2) |
| Entrance Rank (*): | 657 |
| Currently on list? (*): | no |
| Submitted: | 12/1/2012 05:20:22 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 1/16/2019 13:06:47 UTC |
| Database id: | 110196 |
| Status Flags: | none |
| Score (*): | 43.9217 (normalized score 0.2897) |
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 110196 person_id 9 machine RedHat P4 P4 what prime notes Command: /home/caldwell/client/pfgw -t -q"(2^64-189)*10^413500+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing (2^64-189)*10^413500+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 69.89% (2^64-189)*10^413500+1 is prime! (28822.7063s+0.0201s) [Elapsed time: 8.01 hours] modified 2020-07-07 22:30:23 created 2012-12-01 05:23:02 id 150377
field value prime_id 110196 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/pfgw -o -f -q"(2^64-189)*10^413500+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] (2^64-189)*10^413500+1 1/1 mro=0 trial factoring to 154611114 (2^64-189)*10^413500+1 has no small factor. [Elapsed time: 4328.691 seconds] modified 2020-07-07 22:30:23 created 2012-12-01 05:35:01 id 150378
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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