A161749 Smallest prime of the form x^(2n+1) - y^(2n-1), x,y >= 1.

3, 5, 127, 3299, 1967249047, 8191, 30450469261, 131071, 524287, 476562280296181, 70358283824461

Offset

1,1

Comments

For even n > 4 = 2m, x^(2m) - y^(2m-2) = (x^m)^2 - y^((m-1))^2 is divisible by x^m - y^(m-1) which is not prime. This accounts for the omission of even powers in the definition.

Links

Table of n, a(n) for n=1..11.

Crossrefs

Sequence in context: A364545 A245442 A215239 * A240589 A180541 A103993

Adjacent sequences: A161746 A161747 A161748 * A161750 A161751 A161752

Keyword

nonn

Author

Cino Hilliard, Jun 17 2009

Extensions

Incorrect program removed; definition confined to odd powers; added terms a(8)..a(11). - R. J. Mathar, Feb 27 2012

Status

approved