OFFSET
1,1
COMMENTS
A sequence constructed from Izotov's trick.
If n belongs to this sequence and n does not end in 5, then n^4 has the covering set {3, 5, 17, 97, 241, 257, 673}.
LINKS
Anatoly S. Izotov, A note on Sierpinski numbers
Wikipedia, Sierpinski number
MATHEMATICA
(* even if nn is increased, no additional terms are generated *) nn = 14; lst = {}; n = 44745755; p = 2^12; m = 3*(p^4 - 1)/(p - 1); Do[a = n + (-1)^c*m; n = a/GCD[a, p]; AppendTo[lst, Abs@n], {c, 0, nn}]; Union@lst
CROSSREFS
KEYWORD
nonn,easy,fini,full
AUTHOR
Arkadiusz Wesolowski, Jun 09 2012
STATUS
approved