A085498 - OEIS

A085498

Primes p having at least one partition into distinct divisors of p + 1.

3, 5, 7, 11, 17, 19, 23, 29, 31, 41, 47, 53, 59, 71, 79, 83, 89, 103, 107, 127, 131, 139, 149, 167, 179, 191, 197, 199, 223, 227, 233, 239, 251, 263, 269, 271, 293, 307, 311, 347, 349, 359, 367, 379, 383, 389, 419, 431, 439, 449, 461, 463, 467, 479, 499, 503

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OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..2000

FORMULA

A085496(a(n)) > 0.

MATHEMATICA

seqQ[p_] := Module[{d = Most[Divisors[p+1]]}, SeriesCoefficient[Series[Product[1 + x^d[[i]], {i, Length[d]}], {x, 0, p}], p] > 0]; Select[Range[500], PrimeQ[#] && seqQ[#] &] (* Amiram Eldar, Jan 13 2020 *)

Select[Prime[Range[100]], MemberQ[Total/@Subsets[Divisors[#+1]], #]&] (* Harvey P. Dale, Oct 04 2020 *)

CROSSREFS

Subsequence of A085493.

Cf. A085496, A085497, A085499.

Sequence in context: A249505 A091305 A164319 * A225223 A346794 A226653

Adjacent sequences: A085495 A085496 A085497 * A085499 A085500 A085501

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jul 03 2003

STATUS

approved