A375646 Products of prime 8-tuples (p, p+2, p+6, p+8, p+12, p+18, p+20, p+26) where p = A022011(n).

35336848261, 3806030828359338048562146944333316580734237696172777384261, 187864049264599549789422153639990042809117925774238076689261, 5904346651213195922822968174735596082317962321492475630960754261, 1225364761514380727859407545185568342040426059188911173818624004261

Offset: 1

Author

Michael De Vlieger, Aug 24 2024

Keywords

• nonn

Comments

Primes p in A022011 belong to 11 (mod 210), thus a(n) is congruent to the product of residues {11, 13, 17, 19, 23, 29, 31, 37} (mod 210), i.e., 1 (mod 210).

Gaps between primes are {2, 4, 2, 4, 6, 2, 6}.

Links

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

Crossrefs

Cf. A022011, A128470, A375647, A375648.

Programs

Mathematica

Map[Times @@ NextPrime[#, Range[0, 7]] &, Import["https://oeis.org/A022011/b022011.txt", "Data"][[;; 12, -1]] ]