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”).

A078959
Primes p such that the differences between the 5 consecutive primes starting with p are (6,2,6,4).
1
23, 53, 263, 1283, 2333, 5843, 6563, 14543, 19373, 32363, 41603, 48473, 49193, 51413, 75983, 88793, 106853, 113153, 115763, 138563, 150203, 160073, 163973, 204353, 223823, 229763, 246923, 284723, 319673, 326993, 337853, 338153, 357653
OFFSET
1,1
COMMENTS
Equivalently, p, p+6, p+8, p+14 and p+18 are consecutive primes.
Subsequence of A078854. - R. J. Mathar, May 06 2017
EXAMPLE
53 is in the sequence since 53, 59, 61, 67 and 71 are consecutive primes.
MATHEMATICA
l = {}; For[n = 1, n < 10^5, n++, If[Prime[n] + 6 == Prime[n + 1] \[And] Prime[n] + 8 == Prime[n + 2] \[And] Prime[n] + 14 == Prime[n + 3] \[And] Prime[n] + 18 == Prime[n + 4], AppendTo[l, Prime[n]]]]; l (* Jake Foster, Oct 27 2008 *)
KEYWORD
nonn
AUTHOR
Labos Elemer, Dec 19 2002
EXTENSIONS
Edited by Dean Hickerson, Dec 20 2002
STATUS
approved