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23704053 + 21852027 + 1
|Description:||23704053 + 21852027 + 1|
|Verification status (*):||Proven|
|Official Comment (*):||Gaussian Mersenne norm 39?, generalized unique|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L3839 : Batalov, EMsieve, LLR|
|Decimal Digits:||1115032 (log10 is 1115031.05852916)|
|Rank (*):||282 (digit rank is 1)|
|Entrance Rank (*):||73|
|Currently on list? (*):||short|
|Submitted:||9/6/2014 11:22:12 CDT|
|Last modified:||8/4/2020 13:21:47 CDT|
|Score (*):||46.967 (normalized score 15.9433)|
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.
- Gaussian Mersenne norm (archivable *)
- Prime on list: yes, rank 3
Subcategory: "Gaussian Mersenne norm"
(archival tag id 217810, tag last modified 2020-08-02 20:20:04)
- Generalized Unique (archivable *)
- Prime on list: yes, rank 18
Subcategory: "Generalized Unique"
(archival tag id 224094, tag last modified 2020-08-04 13:50:04)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 118452 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prime notes Command: /home/caldwell/client/pfgw/pfgw64 -t -q"2^3704053+2^1852027+1" 2>&1 PFGW Version 22.214.171.124BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2^3704053+2^1852027+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 50.00% 2^3704053+2^1852027+1 is prime! (27993.8014s+0.0014s) [Elapsed time: 7.78 hours] modified 2020-07-07 17:30:17 created 2014-09-06 11:31:01 id 164029
Query times: 0.0009 seconds to select prime, 0.0001 seconds to seek comments.
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