A358232 Numbers k for which A276086(k) == 1 mod A003415(k), where A276086 is the primorial base exp-function, and A003415 is the arithmetic derivative.

4, 16, 54, 66, 864, 1710, 18900, 71254, 120731, 492943, 625081, 700149, 1489459, 3564419, 44995876, 219794251, 297776323, 596506003, 642171139, 972082711, 1065608507, 1252704562, 1385872853, 1416187590, 1799971549, 1818740449

Offset: 1

Author

Antti Karttunen, Nov 25 2022

Keywords

• nonn

Links

• Index entries for sequences related to primorial base

Crossrefs

Subsequence of A358228. Positions of 1's in A328382.

Cf. A003415, A276086.

Cf. also A358231.

Programs

PARI

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
isA358232(n) = (1==(A276086(n)%A003415(n)));