
The nth Prime Page will now find any of the first 2,623,557,157,654,233 primes or
π( x) for x up to 100,000,000,000,000,000.
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:  55339803 · 2^{19402} + 1 
Verification status (*):  Proven 
Official Comment:  Cunningham chain 2nd kind (4p3) 
Proofcode(s): (*):  L983 : Wu_T, LLR 
Decimal Digits:  5849 (log_{10} is 5848.3270134814) 
Rank (*):  76701 (digit rank is 2) 
Entrance Rank (*):  50081 
Currently on list? (*):  no 
Submitted:  12/8/2009 07:46:57 CDT 
Last modified:  12/8/2009 08:06:38 CDT 
Database id:  91119 
Status Flags:  none 
Score (*):  30.7759 (normalized score 0) 

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.
 Cunningham Chains (2nd kind) (archivable class *)
 Prime on list: no, rank 7, weight 39.2336919890681
Subcategory: "Cunningham chain 2nd kind (4p3)"
(archival tag id 212481, tag last modified 20160315 13:57:15)
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  91119 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/TrialDiv/TrialDiv q 55339803 2 19402 1 2>&1 [Elapsed time: 7.831 seconds]

modified  20111227 16:48:41 
created  20091208 07:48:29 
id  111606 

field  value 
prime_id  91119 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw t q"55339803*2^19402+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 55339803*2^19402+1 [N1, BrillhartLehmerSelfridge] Running N1 test using base 5 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(2560,21) to FFT(2560,20) Reduced from FFT(2560,20) to FFT(2560,19) Reduced from FFT(2560,19) to FFT(2560,18) Reduced from FFT(2560,18) to FFT(2560,17) Reduced from FFT(2560,17) to FFT(2560,16) 38864 bit request FFT size=(2560,16) Calling BrillhartLehmerSelfridge with factored part 99.87% 55339803*2^19402+1 is prime! (1.8900s+0.0000s) [Elapsed time: 2.00 seconds]

modified  20100313 18:56:32 
created  20091208 08:05:56 
id  111612 

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
