192098²⁶²¹⁴⁴ - 192098¹³¹⁰⁷² + 1

This prime's information:

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.

Generalized Unique (archivable *)

Prime on list: yes, rank 18
Subcategory: "Generalized Unique"
(archival tag id 224088, tag last modified 2023-12-14 08:37:23)

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Serge Batalov writes (10 Feb 2015):  (report abuse)

This prime extends the OEIS sequence A246119 (final check that b=192098 is the least base that produces a prime is complete, with all candidates checked once; there will be a double-check in the near future within the PrimeGrid project). The search for this prime was effected on a small EC2 cloud farm (40 GRID K520 GPUs), at a cost of approximately $1K over ~ three weeks.

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.