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

1,1

Comments

See Castro-Medina (2016) for precise definition.

It is only a conjecture that this sequence is infinite.

Links

Table of n, a(n) for n=1..55.

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.

Sequence in context: A341759 A144620 A217622 * A091864 A304079 A109722

Adjacent sequences: A269725 A269726 A269727 * A269729 A269730 A269731

Keyword

nonn

Author

N. J. A. Sloane, Mar 08 2016

Status

approved