login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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,changed

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 26 14:08 EST 2020. Contains 331280 sequences. (Running on oeis4.)