A372319 Products of prime triples (p, p+2, p+6) where p = A022004(n).

385, 2431, 7429, 82861, 1113121, 1317919, 7262011, 12112039, 30857731, 42749359, 99677881, 266669461, 558789841, 635308669, 690017701, 1308131911, 2095502089, 2215630321, 2922149239, 3265932301, 3305715499, 4170674419, 6577726891, 7995982009, 9046566901, 11234386249

Offset: 1

Author

Michael De Vlieger, Jun 29 2024

Keywords

• nonn
• easy

Comments

Subsequence of A120944, subsequence of A007304.

Terms are congruent to 1 (mod 6), since A022004(n) is congruent to 5 mod 6, and 5+2 and 5+6 are congruent to 1 and 5 (mod 6), respectively. The product 5*1*5 is congruent to 1 (mod 6).

Examples

			a(1) = 385 = 5 * 7 * 11.
a(2) = 2431 = 11 * 13 * 17.
a(3) = 7429 = 17 * 19 * 23, etc.
		

Links

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

Crossrefs

Cf. A007304, A016921, A022004, A120944.

Programs

Mathematica

Map[Times @@ NextPrime[#, {0, 1, 2}] &, Select[Prime@ Range[360], AllTrue[{# + 2, # + 6}, PrimeQ] &]]