A379961 Numbers k such that A276086(k)-1 is a perfect power (A001597), where A276086 is the primorial base exp-function.

1, 4, 6, 7, 13, 35, 212, 2311, 2316, 2322, 2329, 2550, 9241, 30030, 30037, 32341, 32347, 34662, 60066, 512850, 1023367, 223092876, 223092877, 223095199, 223097490, 223097491, 223122913, 446185741, 6469693260, 6479392984

Offset: 1

Author

Antti Karttunen, Jan 24 2025

Keywords

• nonn
• more

Examples

			A276086(1) = 2, -1 = 1 = A001597(1), thus 1 is included.
A276086(2311) = 26, -1 = 25 = 5^2, thus 2311 is included.
A276086(1023367) = 328510, -1 = 328509 = 69^3, thus 1023367 is included.
		

Links

• Index entries for sequences related to primorial base.

Crossrefs

Setwise difference A379960 \ A379962.

Cf. A001597, A276086.

Programs

PARI

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
is_A379961(n) = { my(x=A276086(n)); (1==(x-1) || ispower(x-1)); };