Triplet

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The Prime Pages

The Prime Pages keeps a list of the 5000 largest known primes, plus a few each of certain selected archivable forms and classes. These forms are defined in this collection's home page. This page is about one of those forms. Comments and suggestions requested.

Definitions and Notes

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Record Primes of this Type

rank prime digits who when comment

1 6521953289619 · 2⁵⁵⁵⁵⁵ + 1 16737 p296 Apr 2013 Triplet (3)
2 6521953289619 · 2⁵⁵⁵⁵⁵ - 1 16737 p296 Apr 2013 Triplet (2)
3 6521953289619 · 2⁵⁵⁵⁵⁵ - 5 16737 c58 Apr 2013 Triplet (3), ECPP
4 81505264551807 · 2³³⁴⁴⁴ + 5 10082 c58 Jul 2012 Triplet (3), ECPP
5 81505264551807 · 2³³⁴⁴⁴ + 1 10082 p296 Jul 2012 Triplet (2)
6 81505264551807 · 2³³⁴⁴⁴ - 1 10082 p296 Jul 2012 Triplet (1)
7 2072644824759 · 2³³³³³ + 5 10047 FE5 Nov 2008 Triplet (3), ECPP
8 2072644824759 · 2³³³³³ + 1 10047 L645 Nov 2008 Triplet (2)
9 2072644824759 · 2³³³³³ - 1 10047 L645 Nov 2008 Triplet (1)
10 5612052289 · 14489#/5 + 5 6223 c18 Jan 2008 Triplet (3), ECPP
11 5612052289 · 14489#/5 + 1 6223 p41 Jan 2008 Triplet (2)
12 5612052289 · 14489#/5 - 1 6223 p41 Jan 2008 Triplet (1)
13 (99241437759 · 205881 · 4001# · (205881 · 4001# + 1) + 210) · (205881 · 4001# - 1)/35 + 5 5132 p179 Mar 2006 Triplet (2)
14 (99241437759 · 205881 · 4001# · (205881 · 4001# + 1) + 210) · (205881 · 4001# - 1)/35 + 1 5132 p179 Mar 2006 Triplet (1)
15 (91456744909 · 205881 · 4001# · (205881 · 4001# + 1) + 210) · (205881 · 4001# - 1)/35 + 5 5132 p179 May 2006 Triplet (1)