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”).

A375264
Products of prime 5-tuples (p, p+4, p+6, p+10, p+12) where p = A022007(n).
3
323323, 11769028333, 23075277662228863, 498323779650735373, 5774946339890457283, 964079483344036314403, 1069516017850492496773, 2764561257197073595813, 160896800504464381875853, 3214487754103795836790843, 5525765859191774942946523, 10569235342244010823461223, 1140114641548139662904736973
OFFSET
1,1
COMMENTS
Subsequence of A046387.
All terms are congruent to 13 (mod 30), since they are products m of the following residues (mod 30): {7, 11, 13, 17, 19}, and m mod 30 is congruent to 13.
LINKS
MATHEMATICA
Map[Times @@ NextPrime[#, Range[0, 4]] &, Select[Prime@ Range[2^16], AllTrue[{# + 4, # + 6, # + 10, # + 12}, PrimeQ] &]]
CROSSREFS
KEYWORD
nonn
AUTHOR
Michael De Vlieger, Aug 16 2024
STATUS
approved