A372419 Products of prime triples (p, p+4, p+6) where p = A022005(n).

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

Author

Michael De Vlieger, Jun 29 2024

Keywords

• nonn
• easy

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).

Examples

			a(1) = 1001 = 7 * 11 * 13.
a(2) = 4199 = 13 * 17 * 19.
a(3) = 65231 = 37 * 41 * 43, etc.
		

Crossrefs

Cf. A007304, A016969, A022005, A120944.

Programs

Mathematica

Map[Times @@ NextPrime[#, {0, 1, 2}] &, Select[Prime@ Range[320], AllTrue[{# + 4, # + 6}, PrimeQ] &]]