A349941 Terms of A349937 that are not divisible by 3: numbers k > 1 not divisible by 2 or 3 such that A309906(k-1) < A309906(k) > A309906(k+1).

2275, 2695, 6125, 6545, 7735, 11165, 11275, 16445, 18473, 21175, 22253, 24115, 26455, 27115, 28985, 30485, 31255, 32585, 34265, 34675, 34925, 35035, 35275, 36725, 37037, 37625, 38525, 38885, 39715, 40565, 42775, 42955, 43225, 44275, 45175, 45353, 47047, 47957, 49075, 49385

Offset: 1

Author

Jianing Song, Dec 05 2021

Keywords

• nonn

Comments

Conjecturally, numbers k > 1 not divisible by 2 or 3 such that liminf_{n->oo} d(p(n)^(k-1)-1) < liminf_{n->oo} d(p(n)^k-1) > liminf_{n->oo} d(p(n)^(k+1)-1), where p(n) = prime(n), d = A000005.

Examples

			A309906(2274) = 6144 < A309906(2275) = 8192 > A309906(2276) = 1280, 2275 is not divisible by 2 or 3, so 2275 is a term.
A309906(18472) = 6144 < A309906(18473) = 8192 > A309906(18474) = 6144, 18473 is not divisible by 2 or 3, so 18473 is a term.
		

Crossrefs

Cf. A309906, A349937.

Programs

PARI

isA349941(k) = (k%2&&k%3&&k>1) && A309906(k)>A309906(k-1) && A309906(k)>A309906(k+1) \\ See A309906 for its program