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A252892 Primes p such that sigma(p) = 1 + p is a partition number (sorted increasingly). 0
2, 29, 41, 6841, 37337, 53173, 105557, 124753, 614153, 26543659, 541946239, 2841940499, 3519222691, 30388671977, 6622987708039, 3925922161489421, 1089657644424399781, 9147679068859117601, 13196258966925435701, 505499305314204629557, 2715220650772245313219 (list; graph; refs; listen; history; text; internal format)
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: A260792 A059700 A078329 * A256472 A105893 A059799

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

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Last modified June 24 05:39 EDT 2019. Contains 324318 sequences. (Running on oeis4.)