A081546 Smallest prime which is 1 more than the product of n (not necessarily distinct) composite numbers.

2, 5, 17, 97, 257, 3457, 12289, 40961, 65537, 786433, 5308417, 14155777, 104857601, 167772161, 1811939329, 3221225473, 24159191041, 77309411329, 206158430209, 2061584302081, 2748779069441, 6597069766657, 39582418599937

Offset

0,1

Links

Table of n, a(n) for n=0..22.

Example

a(0) = 1 + 1 = 2, a(3) = 4*4*6 + 1 = 97.

Crossrefs

Cf. A081545.

Sequence in context: A059248 A203006 A143878 * A103511 A254132 A161609

Adjacent sequences: A081543 A081544 A081545 * A081547 A081548 A081549

Keyword

hard,nonn

Author

Amarnath Murthy, Apr 01 2003

Extensions

More terms from Michel ten Voorde Jun 13 2003

Added missing term 12289 and a(13)-a(22) from Donovan Johnson, Nov 05 2009

Status

approved