A375647 -id:A375647 - cp's OEIS frontend

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

Michael De Vlieger, Aug 24 2024

nonn

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}.

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

Cf. A022011, A128470, A375647, A375648.

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

A375648 Products of prime 8-tuples (p, p+6, p+8, p+14, p+18, p+20, p+24, p+26) where p = A022013(n).

Original entry on oeis.org

3868985835982814590518552822749329543261, 43207320984601757696213691690377119115644261, 287530494211069388143263747303929618940138523261, 2991325021830996455943969680355510324042937309261, 3433715221252595293789329211184553889095776281330363261, 523198428668721638888114210837839571392856841008842698982189261

Offset: 1

Michael De Vlieger, Aug 24 2024

nonn

Primes p in A022013 belong to 173 (mod 210). Thus a(n) is congruent to the product of residues {173, 179, 181, 187, 191, 193, 197, 199} (mod 210), i.e., 1 (mod 210).

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

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

Cf. A022012, A128470, A375646, A375647.

Map[Times @@ NextPrime[#, Range[0, 7]] &, Import["https://oeis.org/A022013/b022013.txt", "Data"][[;; 12, -1]]]

cp's OEIS Frontend

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).

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