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”).

A091490
Primes p such that all prime divisors of p^2 + p + 1 are less than p.
2
67, 79, 137, 149, 163, 181, 191, 211, 229, 263, 269, 277, 313, 373, 431, 439, 499, 521, 571, 631, 653, 787, 809, 811, 821, 823, 919, 947, 971, 991, 997, 1049, 1069, 1087, 1109, 1129, 1153, 1231, 1237, 1283, 1291, 1367, 1429, 1451, 1459, 1471, 1493, 1511
OFFSET
1,1
LINKS
Simon Davis, A Proof of the Odd Perfect Number Conjecture, arXiv:hep-th/0401052 [But see the comments on this paper by Robin Chapman]
MATHEMATICA
PrimeFactors[ n_Integer ] := Flatten[ Table[ #[ [ 1 ] ], {1} ] & /@ FactorInteger[ n ] ]; Prime[ Select[ Range[ 242 ], Prime[ # ] > PrimeFactors[ Prime[ # ]^2 + Prime[ # ] + 1 ][ [ -1 ] ] & ] ]
CROSSREFS
Cf. A073501.
Sequence in context: A106930 A106929 A173040 * A091075 A288409 A139973
KEYWORD
nonn
AUTHOR
R. K. Guy and Robert G. Wilson v, Jan 14 2004
STATUS
approved