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Products of prime 8-tuples (p, p+6, p+8, p+14, p+18, p+20, p+24, p+26) where p = A022013(n).
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%I #5 Sep 11 2024 00:41:37

%S 3868985835982814590518552822749329543261,

%T 43207320984601757696213691690377119115644261,

%U 287530494211069388143263747303929618940138523261,2991325021830996455943969680355510324042937309261,3433715221252595293789329211184553889095776281330363261,523198428668721638888114210837839571392856841008842698982189261

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

%C 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).

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

%H Michael De Vlieger, <a href="/A375648/b375648.txt">Table of n, a(n) for n = 1..10000</a>

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

%Y Cf. A022012, A128470, A375646, A375647.

%K nonn

%O 1,1

%A _Michael De Vlieger_, Aug 24 2024