150822742857 · 2503# + 1633050373
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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:150822742857 · 2503# + 1633050373
Verification status (*):PRP
Official Comment:Consecutive primes arithmetic progression (5,d=30)
Proof-code(s): (*):x38 : Broadhurst, Primo, OpenPFGW
Decimal Digits:1072   (log10 is 1071.477174448)
Rank (*):110972 (digit rank is 27)
Entrance Rank (*):103537
Currently on list? (*):short
Submitted:11/19/2013 14:00:08 CDT
Last modified:11/19/2013 14:20:56 CDT
Database id:116360
Status Flags:Verify, TrialDiv
Score (*):25.4879 (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.
Consecutive Primes in Arithmetic Progression (archivable class *)
Prime on list: yes, rank 4
Subcategory: "Consecutive primes in arithmetic progression (5,d=*)"
(archival tag id 217447, tag last modified 2013-12-20 00:20:58)
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 166, weight 37.5322518747181
Subcategory: "Arithmetic progression (5,d=*)"
(archival tag id 217448, tag last modified 2017-10-08 23:50:16)

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_id116360
person_id9
machineDitto P4 P4
whatprp
notesCommand: /home/ditto/client/pfgw -tc -q"150822742857*2503#+1633050373" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 150822742857*2503#+1633050373 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 1+sqrt(5)
Calling N+1 BLS with factored part 0.70% and helper 0.53% (2.70% proof)
150822742857*2503#+1633050373 is Fermat and Lucas PRP! (0.3483s+0.0003s)
[Elapsed time: 1.00 seconds]
modified2014-04-01 17:37:40
created2013-11-19 14:08:03
id161867

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.