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A074207 Numbers n such that the sum of the first n primes divides n!. 0
11, 17, 23, 37, 40, 49, 50, 52, 53, 56, 77, 79, 80, 84, 87, 88, 91, 98, 103, 111, 112, 113, 115, 119, 121, 127, 128, 131, 139, 149, 151, 153, 157, 163, 172, 173, 179, 188, 213, 217, 230, 231, 237, 240, 245, 247, 253, 269, 270, 271, 275, 283, 285, 295, 297, 299 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..56.

EXAMPLE

11! / Sum_{i=1,...,11} Prime[i] = 249480, so 11 is a term of the sequence.

MATHEMATICA

s = 0; p = 1; r = {}; For[i = 1, i <= 500, i++, q = Prime[i]; s = s + q; p = p * i; If[Mod[p, s] == 0, r = Append[r, i]]]; r

CROSSREFS

Sequence in context: A219602 A242260 A076812 * A063638 A141250 A316188

Adjacent sequences:  A074204 A074205 A074206 * A074208 A074209 A074210

KEYWORD

nonn

AUTHOR

Joseph L. Pe, Sep 17 2002

STATUS

approved

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Last modified June 2 18:17 EDT 2020. Contains 334787 sequences. (Running on oeis4.)