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A085499
Primes p having exactly one partition into distinct divisors of p+1.
2
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
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
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