65516468355 · 2333333 - 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: | 65516468355 · 2333333 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Twin (p) |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | L923 : Kaiser1, Klahn, NewPGen, PrimeGrid, TPS, SunGard, LLR |
| Decimal Digits: | 100355 (log10 is 100354.04789514) |
| Rank (*): | 48457 (digit rank is 11) |
| Entrance Rank (*): | 9406 |
| Currently on list? (*): | short |
| Submitted: | 8/13/2009 20:59:57 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 89650 |
| Status Flags: | none |
| Score (*): | 39.5651 (normalized score 0.0044) |
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.
- Twin Primes (archivable *)
- Prime on list: yes, rank 4
Subcategory: "Twin (p)"
(archival tag id 210492, tag last modified 2024-03-29 23:37:14)
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 89650 person_id 9 machine Ditto P4 P4 what trial_divided notes Command: /home/ditto/client/TrialDiv/TrialDiv -q 65516468355 2 333333 -1 2>&1 [Elapsed time: 10.082 seconds] modified 2020-07-07 22:30:37 created 2009-08-13 21:05:11 id 108670
field value prime_id 89650 person_id 9 machine Ditto P4 P4 what prime notes Command: /home/ditto/client/llr.pl 65516468355*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 65516468355*2^333333-1 Using Zero Padded IBDWT : Mersenne fftlen = 16384, Used fftlen = 32768 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 65516468355*2^333333-1 is prime! Time : 550.975 sec. [Elapsed time: 9.18 minutes] modified 2020-07-07 22:30:37 created 2009-08-13 21:08:02 id 108671
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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