A379962 Numbers k such that A276086(k)+1 is a perfect power (A001597), where A276086 is the primorial base exp-function.

2, 8, 30, 34, 36, 214, 248, 254, 421, 2311, 2318, 2350, 2520, 2564, 2776, 4654, 5076, 30038, 30092, 30120, 30480, 32374, 510515, 510542, 510547, 510728, 510746, 512886, 515134, 540540, 540818, 542862, 542888, 1021442, 9699702, 9699722, 9699772, 9699788, 9702010, 9702256, 9729938, 9734358, 10210414, 10217558, 10240472, 10240724

Offset: 1

Author

Antti Karttunen, Jan 24 2025

Keywords

• nonn

Examples

			A276086(30) = 7, +1 = 8 = 2^3, therefore 30 is included.
A276086(2311) = 26, +1 = 27 = 3^3, therefore 2311 is included.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..93
• Index entries for sequences related to primorial base.

Crossrefs

Setwise difference A379960 \ A379961.

Cf. A001597, A276086, A379963 (subsequence).

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
is_A379962(n) = ispower(1+A276086(n));