A375645 Products of prime 7-tuples (p, p+2, p+8, p+12, p+14, p+18, p+20) where p = A022010(n).

183698727318433150098859517, 43573095131179423946916455382173477, 151752127452301913425377267345374694407, 37933916719513692044984369353553394500687, 336012768546310957228958479424678156040797, 2608471791567290523882206574758483434858457, 523352977400310485591027030692542102863968347677

Offset: 1

Author

Michael De Vlieger, Aug 23 2024

Keywords

• nonn

Comments

Primes p in A022010 belong to 179 (mod 210), therefore a(n) is congruent to the product of residues {179, 181, 187, 191, 193, 197, 199} (mod 210), so a(n) is congruent to 17 (mod 210). Gaps between prime factors are {2, 6, 4, 2, 4, 2}.

Links

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

Crossrefs

Cf. A022010, A128468, A375645.

Programs

Mathematica

Map[Times @@ NextPrime[#, Range[0, 6]] &, Select[Prime@ Range[2^20], AllTrue[# + {2, 8, 12, 14, 18, 20}, PrimeQ] &]]