login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A121756
Primes p such that sum of first p primes divides product of first p primes.
1
3, 13, 23, 41, 43, 53, 73, 149, 151, 157, 167, 191, 229, 269, 293, 373, 521, 557, 569, 607, 691, 701, 829, 853, 863, 887, 947, 991, 1019, 1033, 1039, 1051, 1087, 1091, 1303, 1321, 1367, 1429, 1483, 1493, 1543, 1667, 1697, 1709, 1723, 1733, 1777, 1811, 1831
OFFSET
1,1
COMMENTS
All a(n) belong to A051838[n] = {1,3,8,13,23,38,39,41,43,48,50,53,56,57,...} Sum of first n primes divides product of first n primes.
MATHEMATICA
Select[Prime[Range[300]], IntegerQ[Product[Prime[k], {k, 1, #1}]/Sum[Prime[k], {k, 1, #1}]]&]
CROSSREFS
KEYWORD
nonn
AUTHOR
Alexander Adamchuk, Aug 19 2006
STATUS
approved