A085499 Primes p having exactly one partition into distinct divisors of p+1.

3, 5, 7, 17, 19, 31, 53, 103, 127, 271, 367, 463, 499, 859, 967, 1013, 1483, 1951, 3229, 3533, 3769, 3833, 4373, 5477, 6101, 7069, 7457, 8191, 8501, 9041, 9521, 11527, 11621, 11777, 13121, 14551, 17791, 20071, 21943, 23167, 25471, 29311, 33619, 36979, 44491, 45667

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Formula

A085496(a(n)) = 1.

Mathematica

seqQ[p_] := Module[{d = Most[Divisors[p+1]]}, SeriesCoefficient[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, p}], p]  == 1]; Select[Range[1000], PrimeQ[#] && seqQ[#] &] (* Amiram Eldar, Jan 13 2020 *)

Crossrefs

Subsequence of A085498 and of A085494.

Cf. A085496.

Sequence in context: A299298 A122395 A045401 * A169628 A171254 A092951

Adjacent sequences: A085496 A085497 A085498 * A085500 A085501 A085502

Keyword

nonn

Author

Reinhard Zumkeller, Jul 03 2003

Extensions

a(14)-a(38) from Alois P. Heinz, Apr 30 2012

a(39)-a(46) from Amiram Eldar, Jan 13 2020

Status

approved