1110498744105 · 21290000 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:1110498744105 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3401 : Bartlett, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.73992461)
Rank (*):10123 (digit rank is 773)
Entrance Rank (*):1523
Currently on list? (*):no
Submitted:12/4/2013 15:48:36 CDT
Last modified:12/4/2013 20:21:11 CDT
Removed (*):2/26/2016 06:22:09 CDT
Database id:116536
Status Flags:TrialDiv
Score (*):43.7286 (normalized score 0.6451)

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.
fieldvalue
prime_id116536
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 1110498744105*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1110498744105*2^1290000-1
Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

1110498744105*2^1290000-1 is prime! Time : 6006.615 sec.
[Elapsed time: 1.67 hours]
modified2014-04-01 17:37:40
created2013-12-04 18:22:11
id162044

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.