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A276000 Least k such that n! divides phi(k!) (k > 0). 0
1, 3, 6, 6, 10, 10, 14, 14, 14, 14, 22, 22, 26, 26, 26, 26, 34, 34, 38, 38, 38, 38, 46, 46, 46, 46, 46, 46, 58, 58, 62, 62, 62, 62, 62, 62, 74, 74, 74, 74, 82, 82, 86, 86, 86, 86, 94, 94, 94, 94, 94, 94, 106, 106, 106, 106, 106, 106, 118, 118, 122, 122, 122, 122 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..64.

FORMULA

a(n) = 2*A007917(n) for n>2. - Andrey Zabolotskiy, Aug 16 2016

EXAMPLE

a(2) = 3 because phi(3!) is divisible by 2!.

PROG

(PARI) a(n) = {my(k = 1); while(eulerphi(k!) % n!, k++); k; }

CROSSREFS

Cf. A048855, A007917.

Sequence in context: A111652 A159787 A184161 * A316563 A316140 A147849

Adjacent sequences:  A275997 A275998 A275999 * A276001 A276002 A276003

KEYWORD

nonn

AUTHOR

Altug Alkan, Aug 16 2016

STATUS

approved

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Last modified February 17 15:32 EST 2020. Contains 331998 sequences. (Running on oeis4.)