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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. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..26.

Index entries for sequences related to primorial base

PROG

(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)));

CROSSREFS

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

Cf. A003415, A276086.

Cf. also A358231.

Sequence in context: A192074 A293884 A121159 * A239032 A254823 A134968

Adjacent sequences: A358229 A358230 A358231 * A358233 A358234 A358235

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 25 2022

STATUS

approved

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Last modified March 30 07:38 EDT 2023. Contains 361606 sequences. (Running on oeis4.)