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”).

A117763
Primes p such that the nearest integer to p * phi is a prime, where phi is the golden ratio.
2
2, 3, 7, 19, 23, 29, 97, 101, 103, 107, 149, 181, 227, 311, 353, 379, 433, 457, 563, 631, 719, 761, 883, 919, 941, 971, 997, 1049, 1087, 1223, 1279, 1291, 1297, 1321, 1427, 1447, 1453, 1531, 1627, 1699, 1831, 1861, 1877, 2039, 2143, 2207, 2213, 2239, 2269
OFFSET
1,1
LINKS
MATHEMATICA
lst={}; Do[p=Prime[n]; If[PrimeQ[Round[p*GoldenRatio]], AppendTo[lst, p]], {n, 10^3}]; lst
CROSSREFS
Sequence in context: A073641 A273006 A352538 * A165571 A178954 A138111
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Edited by Charles R Greathouse IV, Nov 11 2009
STATUS
approved