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

1,1

Comments

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.

Links

Table of n, a(n) for n=1..21.

Example

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.

Prog

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

Crossrefs

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

Sequence in context: A059700 A078329 A340633 * A256472 A330895 A105893

Adjacent sequences: A252889 A252890 A252891 * A252893 A252894 A252895

Keyword

nonn

Author

Omar E. Pol, Dec 24 2014

Extensions

More terms from Michel Marcus, Dec 28 2014

Edited. - Wolfdieter Lang, Jan 14 2015

Status

approved