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%I #14 Jan 13 2020 09:33:48
%S 3,5,7,17,19,31,53,103,127,271,367,463,499,859,967,1013,1483,1951,
%T 3229,3533,3769,3833,4373,5477,6101,7069,7457,8191,8501,9041,9521,
%U 11527,11621,11777,13121,14551,17791,20071,21943,23167,25471,29311,33619,36979,44491,45667
%N Primes p having exactly one partition into distinct divisors of p+1.
%F A085496(a(n)) = 1.
%t 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 *)
%Y Subsequence of A085498 and of A085494.
%Y Cf. A085496.
%K nonn
%O 1,1
%A _Reinhard Zumkeller_, Jul 03 2003
%E a(14)-a(38) from _Alois P. Heinz_, Apr 30 2012
%E a(39)-a(46) from _Amiram Eldar_, Jan 13 2020