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A372419
Products of prime triples (p, p+4, p+6) where p = A022005(n).
1
1001, 4199, 65231, 347261, 1009091, 1201289, 7566179, 11592209, 22027871, 29884301, 97543451, 234118799, 564234809, 627947039, 682238471, 1296207281, 2198678291, 2901757409, 3050714441, 3283574069, 4626836849, 4881262679, 5700149369, 6542683061, 6605851859, 7956061979
OFFSET
1,1
COMMENTS
Subsequence of A120944, subsequence of A007304.
Terms are congruent to 5 (mod 6), since A022005(n) is congruent to 1 mod 6, and 5+4 and 5+6 are congruent to 5 and 1 (mod 6), respectively. The product 1*5*1 is congruent to 5 (mod 6).
EXAMPLE
a(1) = 1001 = 7 * 11 * 13.
a(2) = 4199 = 13 * 17 * 19.
a(3) = 65231 = 37 * 41 * 43, etc.
MATHEMATICA
Map[Times @@ NextPrime[#, {0, 1, 2}] &, Select[Prime@ Range[320], AllTrue[{# + 4, # + 6}, PrimeQ] &]]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Michael De Vlieger, Jun 29 2024
STATUS
approved