A265426 Primes p such that p - 1 is a binary Keith number (A162724).

2, 3, 5, 17, 257, 1367, 65537, 2960687

Offset

1,1

Comments

See A162724 (binary Keith numbers) and A007629 (Keith numbers) for definitions.

Primes of the form A162724(n)+1.

Fermat primes (A019434) are terms.

The next term, if it exists, must be greater than 17*10^9.

Union of primes p of the form A162363(n)+1 and A000079(m)+1 for a some n or m.

Links

Table of n, a(n) for n=1..8.

Mathematica

fQ[n_] := Module[{b = IntegerDigits[n, 2], s}, s = Total@ b; If[s <= 1, True, k = 1; While[s = 2 s - b[[k]]; s < n, k++]; s == n]]; Select[Prime@ Range[10^6], fQ[# - 1] &] (* Michael De Vlieger, Dec 09 2015, after T. D. Noe at A162724 *)

Crossrefs

Cf. A000079, A007629, A019434, A162363, A162724.

Sequence in context: A291049 A087911 A347565 * A099936 A237251 A275584

Adjacent sequences: A265423 A265424 A265425 * A265427 A265428 A265429

Keyword

nonn,more

Author

Jaroslav Krizek, Dec 08 2015

Status

approved