A375418 Products of prime 6-tuples (p, p+4, p+6, p+10, p+12, p+16) where p = A022008(n).

7436429, 1329900201629, 17190330954910965900632429, 53723718911110731187434029, 7046153584492008675489230429, 1688812201738097614580773379554136429, 17799106117345926490096695600218208629, 55722944657811823198723449024051143429, 505827208840254150110614056219371285429

Offset: 1

Author

Michael De Vlieger, Aug 16 2024

Keywords

• nonn

Comments

Subsequence of A067885.

All terms are congruent to -1 (mod 30), since they are a product of the following residues (mod 30): {7, 11, 13, 17, 19, 23}.

All terms but the first are congruent to -1 (mod 210), since they are a product of the following residues (mod 210): {97, 101, 103, 107, 109, 113}; a(1) mod 210 = 119.

Links

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

Crossrefs

Cf. A022008, A067885.

Programs

Mathematica

Map[Times @@ NextPrime[#, Range[0, 5]] &, Select[Prime@ Range[2^20], AllTrue[{# + 4, # + 6, # + 10, # + 12, # + 16}, PrimeQ] &]]