A052001 -id:A052001 - cp's OEIS frontend

A252892 Primes p such that sigma(p) = 1 + p is a partition number (sorted increasingly).

2, 29, 41, 6841, 37337, 53173, 105557, 124753, 614153, 26543659, 541946239, 2841940499, 3519222691, 30388671977, 6622987708039, 3925922161489421, 1089657644424399781, 9147679068859117601, 13196258966925435701, 505499305314204629557, 2715220650772245313219

Offset: 1

Omar E. Pol, Dec 24 2014

nonn

Primes of the form p(k) - 1, where p(k) is a partition number (see A000040).
Primes in A000065. Intersection of A000040 and A000065.
Primes in A252891. Intersection of A000040 and A252891.

			41 is in the sequence because 41 is prime and the sum of divisors of 41 is 1 + 41 = 42 and 42 is the partition number of 10.

Amiram Eldar, Table of n, a(n) for n = 1..88

Cf. A000040, A000041, A000065, A000203, A052001, A252891.

lista() = {v = readvec("b000041.txt"); for (n=1, #v, if (isprime(p=v[n]-1), print1(p, ", ")););} \\ Michel Marcus, Dec 29 2014

More terms from Michel Marcus, Dec 28 2014

Edited by Wolfdieter Lang, Jan 14 2015

A127700 Numbers n such that partition number of n^2 is even.

Original entry on oeis.org

3, 5, 8, 10, 16, 20, 21, 23, 26, 28, 30, 39, 41, 43, 45, 46, 47, 48, 49, 50, 51, 56, 58, 59, 63, 66, 68, 70, 71, 73, 76, 78, 80, 82, 84, 85, 86, 87, 88, 92, 93, 95, 96, 97, 100, 102, 103, 111, 112, 113, 115, 117, 120, 121, 122, 123, 125, 127, 129, 131, 134, 135, 137

Offset: 1

Zak Seidov, Apr 03 2007

nonn

Cf. A000041, A001560, A052001, A052002, A127219.

Select[Range[200],EvenQ[PartitionsP[ #^2]]&]

A000041(n^2) is even.

cp's OEIS Frontend

A252892 Primes p such that sigma(p) = 1 + p is a partition number (sorted increasingly).

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