
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:  Phi(9455,  10) 
Verification status (*):  PRP 
Official Comment:  Unique, ECPP 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  c33 : Chaglassian, Primo 
Decimal Digits:  7200 (log_{10} is 7199.95861165776) 
Rank (*):  77404 (digit rank is 1) 
Entrance Rank (*):  32342 
Currently on list? (*):  short 
Submitted:  7/7/2005 14:47:34 CDT 
Last modified:  7/7/2005 14:47:34 CDT 
Database id:  75005 
Status Flags:  Verify 
Score (*):  31.4213 (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.
 Unique (archivable *)
 Prime on list: yes, rank 13
Subcategory: "Unique"
(archival tag id 210368, tag last modified 20140520 07:51:28)  Elliptic Curve Primality Proof (archivable *)
 Prime on list: no, rank 282
Subcategory: "ECPP"
(archival tag id 210367, tag last modified 20180922 16:20:28)
User comments about this prime (disclaimer):
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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  75005 
person_id  9 
machine  Linux P4 2.8GHz 
what  prp 
notes  Command: /home/caldwell/client/pfgw f t q"Phi(9455,10)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing Phi(9455,10) [N1, BrillhartLehmerSelfridge] trial factoring to 2013771 Running N1 test using base 2 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47844 bit request FFT size=(3072,16) Running N1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47844 bit request FFT size=(3072,16) Running N1 test using base 7 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47844 bit request FFT size=(3072,16) Running N1 test using base 11 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47844 bit request FFT size=(3072,16) Running N1 test using base 31 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47844 bit request FFT size=(3072,16) Running N1 test using base 67 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(3072,21) to FFT(3072,20) Reduced from FFT(3072,20) to FFT(3072,19) Reduced from FFT(3072,19) to FFT(3072,18) Reduced from FFT(3072,18) to FFT(3072,17) Reduced from FFT(3072,17) to FFT(3072,16) 47844 bit request FFT size=(3072,16) Calling BrillhartLehmerSelfridge with factored part 0.70% Phi(9455,10) is PRP! (64.5425s+0.0119s)

modified  20050715 09:51:51 
created  20050707 16:06:36 
id  80100 

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
