A375644 Products of prime 7-tuples (p, p+2, p+6, p+8, p+12, p+18, p+20) where p = A022009(n).

955049953, 3431222498061314276004949808559579043, 1592283266230831269579139040471681157252043, 33803301949073251156918712397722608580666560525843, 241497625199060263864928600741562805703424517481233, 742885427216897360827893410354065761987031315800313, 1822898255205545910397244861266569904193155136678473

Offset: 1

Author

Michael De Vlieger, Aug 23 2024

Keywords

• nonn

Comments

Primes p in A022009 belong to 11 (mod 210), therefore a(n) is congruent to the product of residues {11, 13, 17, 19, 23, 29, 31} (mod 210), hence a(n) is congruent to 193 (mod 210).

Gaps between prime factors are {2, 4, 2, 4, 6, 2}.

Links

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

Crossrefs

Cf. A022009, A082369, A375645.

Programs

Mathematica

Map[Times @@ NextPrime[#, Range[0, 6]] &, Select[Prime@ Range[2^20], AllTrue[# + {2, 6, 8, 12, 18, 20}, PrimeQ] &]]