A242346 Smaller member of a Sophie Germain pair in which each member of the pair is the smallest of its prime triple (p, (p^3)+2, (p^5)+2).

8629739, 77115359, 173508869, 343621919, 419597309, 573556349, 763154039, 770676239, 847344419, 851521949, 951418229, 1014432869, 1252780829, 1260053939, 1322933519, 1529921909, 1569236309, 1861760819, 1954231199, 2048205689, 2071334939, 2583377789, 2658083819

Offset

1,1

Comments

Terms are congruent to -1 mod 30. - David Radcliffe, Aug 14 2025

Links

David Radcliffe, Table of n, a(n) for n = 1..2248 (terms 1..40 from Abhiram R Devesh).

Example

a(1): p = 8629739; (2*p)+1 = 17259479
Prime Triplets of the form (p,(p^3)+2,(p^5)+2): (8629739, 642677333350934910421, 47861720360612147562343307996312701 );(17259479, 5141419560476273559241, 1531575495230651978949727458917513401)

Prog

(Python) # See b-file.

Crossrefs

Cf. A048636, A237188, A237256.

Sequence in context: A237074 A345616 A346333 * A015378 A337463 A151936

Adjacent sequences: A242343 A242344 A242345 * A242347 A242348 A242349

Keyword

nonn

Author

Abhiram R Devesh, May 11 2014

Status

approved