A269728 Let k be a number not a power of 2 (see A057716), and define r by 2^(r-1) < k < 2^r; a(n) is smallest prime of the form 2^r*m+1 such that the exponential sum S(sigma_{m,k}) avoids p.

5, 17, 41, 73, 97, 17, 17, 17, 17, 17, 17, 1601, 97, 97, 449, 257, 97, 97, 97, 97, 193, 257, 97, 97, 97, 449, 193, 1409, 193, 193, 193, 257, 193, 449, 769, 257, 193, 449, 257, 193, 193, 193, 193, 257, 449, 193, 193, 193, 257, 449, 257, 257, 257, 449, 641

Offset: 1

Author

N. J. A. Sloane, Mar 08 2016

Keywords

• nonn

Comments

See Castro-Medina (2016) for precise definition.

It is only a conjecture that this sequence is infinite.

Links

• Francis N. Castro and Luis A. Medina, Modular periodicity of exponential sums of symmetric Boolean functions and some of its consequences, arXiv:1603.00534 [math.NT], 2016.

Crossrefs

Cf. A057716.