A066914 Integers of the form (2^(n^3)+1)/(2^(n^2)+1).

1, 261633, 1267650562449298664439414784001, 31828687130226288558838390973198420728675356591453158479231648944377496480115651397025793

Offset

1,2

Comments

If n is odd (2^(n^3)+1)/(2^(n^2)+1) is an integer.

The next term (a(5)) has 196 digits. - Harvey P. Dale, Dec 17 2024

Links

Table of n, a(n) for n=1..4.

Mathematica

Select[Table[(2^(n^3)+1)/(2^(n^2)+1), {n, 10}], IntegerQ] (* Harvey P. Dale, Dec 17 2024 *)

Prog

(PARI) lista(nn) = {for (n = 1, nn, if (type(v = (2^(n^3)+1)/(2^(n^2)+1)) == "t_INT", print1(v, ", ")); ); } \\ Michel Marcus, Nov 20 2013

Crossrefs

Sequence in context: A226111 A002272 A172850 * A013694 A358393 A243136

Adjacent sequences: A066911 A066912 A066913 * A066915 A066916 A066917

Keyword

nonn

Author

Benoit Cloitre, Jan 23 2002

Status

approved