Our university will have a core network upgrade on Saturday, June 1, beginning at 6 AM CDT (11 AM UTC/GMC).
The outage should last less than four hours. Chris Caldwell (firstname.lastname@example.org)
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:
|Description:||252191 · 25497878 - 1|
|Verification status (*):||Proven|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||L3183 : Haller, Srsieve, PrimeGrid, LLR|
|Decimal Digits:||1655032 (log10 is 1655031.59223068)|
|Rank (*):||26 (digit rank is 1)|
|Entrance Rank (*):||21|
|Currently on list? (*):||short|
|Submitted:||6/23/2012 12:22:47 CDT|
|Last modified:||6/24/2012 23:50:25 CDT|
|Score (*):||48.1783 (normalized score 213.2617)|
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.
|machine||RedHat P4 P4|
|notes||Command: /home/caldwell/client/llr.pl 252191*2^5497878-1 2>&1|
Starting Lucas Lehmer Riesel prime test of 252191*2^5497878-1
Using Zero Padded IBDWT : Mersenne fftlen = 327680, Used fftlen = 655360
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.
Starting Lucas-Lehmer loop...
252191*2^5497878-1 is prime! Time : 126342.229 sec.
[Elapsed time: 35.10 hours]
|machine||Ditto P4 P4|
|notes||Command: /home/ditto/client/TrialDiv/TrialDiv -q 252191 2 5497878 -1 2>&1|
[Elapsed time: 11.332 seconds]
Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.