%I #44 Jul 02 2024 02:13:17

%S 385,2431,7429,82861,1113121,1317919,7262011,12112039,30857731,

%T 42749359,99677881,266669461,558789841,635308669,690017701,1308131911,

%U 2095502089,2215630321,2922149239,3265932301,3305715499,4170674419,6577726891,7995982009,9046566901,11234386249

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

%C Subsequence of A120944, subsequence of A007304.

%C 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).

%H Michael De Vlieger, <a href="/A372319/b372319.txt">Table of n, a(n) for n = 1..10000</a>

%e a(1) = 385 = 5 * 7 * 11.

%e a(2) = 2431 = 11 * 13 * 17.

%e a(3) = 7429 = 17 * 19 * 23, etc.

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

%Y Cf. A007304, A016921, A022004, A120944.

%K nonn,easy

%O 1,1

%A _Michael De Vlieger_, Jun 29 2024