1575 · 2616341 + 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: | 1575 · 2616341 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | [none] |
| Proof-code(s): (*): | L1158 : Vogel, PSieve, Srsieve, PrimeGrid, LLR |
| Decimal Digits: | 185541 (log10 is 185540.32583809) |
| Rank (*): | 38256 (digit rank is 1) |
| Entrance Rank (*): | 4821 |
| Currently on list? (*): | no |
| Submitted: | 1/27/2011 23:13:11 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Removed (*): | 2/3/2011 14:49:33 UTC |
| Database id: | 97782 |
| Status Flags: | none |
| Score (*): | 41.4574 (normalized score 0.019) |
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 97782 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 1575 2 616341 1 2>&1 [Elapsed time: 10.666 seconds] modified 2020-07-07 22:30:32 created 2011-01-27 23:18:32 id 124955
field value prime_id 97782 person_id 9 machine RedHat Virtual STEM Server what prime notes Command: /home/caldwell/client/pfgw -t -q"1575*2^616341+1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 1575*2^616341+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 1575*2^616341+1 is prime! (472.1831s+0.0333s) [Elapsed time: 7.88 minutes] modified 2020-07-07 22:30:32 created 2011-01-27 23:20:53 id 124956
Query times: 0.0004 seconds to select prime, 0.0031 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.