755892137055 · 21000000 - 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:755892137055 · 21000000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2832 : Schmidt2, NewPGen, TPS, LLR
Decimal Digits:301042   (log10 is 301041.87412381)
Rank (*):15905 (digit rank is 12)
Entrance Rank (*):2261
Currently on list? (*):no
Submitted:10/14/2012 10:53:27 CDT
Last modified:10/14/2012 12:50:27 CDT
Removed (*):8/20/2013 04:22:52 CDT
Database id:109829
Status Flags:none
Score (*):42.946 (normalized score 0.2903)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 755892137055 2 1000000 -1 2>&1
[Elapsed time: 9.716 seconds]
modified2012-11-04 23:29:01
created2012-10-14 11:05:01

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 755892137055*2^1000000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 755892137055*2^1000000-1
Using Zero Padded IBDWT : Mersenne fftlen = 57344, Used fftlen = 114688
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

755892137055*2^1000000-1 is prime! Time : 4007.914 sec.
[Elapsed time: 66.80 minutes]
modified2012-11-04 23:29:01
created2012-10-14 11:18:08

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