A122902 First occurrence of exponent n in A080121 corresponding to the minimum prime of the form (k^(2^n) + (k+1)^(2^n)) = A122900(k).

1, 3, 23, 21, 10, 95, 255, 86, 59

Offset: 1

Author

Alexander Adamchuk, Sep 18 2006, Oct 01 2006

Keywords

• hard
• more
• nonn

Comments

Minimum primes of the form n^(2^m) + (n+1)^(2^m) are listed in A122900. The exponents m are listed in A080121.

a(10)-a(13)>1000, a(14)-a(16)>100.

Examples

			A080121 begins with 1,1,2,1,1,2,1,2,1,5,?,1,2,1,?,2,1,?,1,?,4,1,3,1,..., where the unknown terms (denoted with ?) are at least 10. So a(1) = 1, a(2) = 3, a(3) = 23, a(4) = 21, a(5) = 10.
		

Links

• T. D. Noe, Table of generalized Fermat primes of the form (k+1)^2^m + k^2^m
• Eric Weisstein's World of Mathematics, Generalized Fermat Number

Crossrefs

Cf. A077659, A080121, A122900, A080208, A078902, A080134, A019434, A153504, A152913, A194185.

Extensions

Edited by Max Alekseyev, Sep 09 2020