A084714 - OEIS

A084714

a(n) = smallest prime of the form (2n-1)^k - 2, or 0 if no such number exists.

0, 7, 3, 5, 7, 14639, 11, 13, 24137567, 17, 19, 480250763996501976790165756943039, 23, 727, 839, 29, 31, 1223, 1367, 37, 2825759, 41, 43, 2207, 47, 45767944570399, 7890479, 53, 1176246293903439667999, 12117359, 59, 61, 318644812890623

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OFFSET

1,2

COMMENTS

a(49) has 1485 digits. - Sean A. Irvine, May 05 2026

LINKS

Sean A. Irvine, Table of n, a(n) for n = 1..48

MATHEMATICA

f[n_] := Block[{k = 1}, While[ !PrimeQ[(2*n - 1)^k - 2], k++ ]; (2*n - 1)^k - 2]; Table[ f[n], {n, 2, 34}]

CROSSREFS

Cf. A084712, A084713.

Sequence in context: A135002 A319531 A175452 * A340820 A393953 A256779

Adjacent sequences: A084711 A084712 A084713 * A084715 A084716 A084717

KEYWORD

nonn

AUTHOR

Amarnath Murthy, Jun 10 2003

EXTENSIONS

Edited, corrected and extended by Robert G. Wilson v, Jun 11 2003

STATUS

approved