A375263 Products of prime 5-tuples (p, p+2, p+6, p+8, p+12) where p = A022006(n).

85085, 1062347, 13710311357, 7260418981910177, 1070581737243007155797, 2766839311485334046837, 4100268039496291731347, 5485857138434357935487, 160955606471252225494877, 518874528458711923617827, 62276368576118330117536697, 124939289421198925662649757, 129296510584439756429395217

Offset: 1

Author

Michael De Vlieger, Aug 16 2024

Keywords

• nonn

Comments

Subsequence of A046387.

Aside from a(1) = 85085 = 5 (mod 30), all terms are congruent to 17 (mod 30), since a(k), k > 2 is a product m of the following residues (mod 30): {11, 13, 17, 19, 23}, and m mod 30 is congruent to 17.

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A022006, A046387, A375264.

Programs

Mathematica

Map[Times @@ NextPrime[#, Range[0, 4]] &, Select[Prime@ Range[2^16], AllTrue[{# + 2, # + 6, # + 8, # + 12}, PrimeQ] &]]