

A248005


Number of primes obtained in the first step of the long division of prime(n) by prime(i), i=2,...,n1 (see example).


1



1, 1, 1, 2, 3, 2, 3, 3, 3, 5, 4, 4, 5, 4, 5, 4, 4, 5, 7, 7, 4, 7, 7, 5, 6, 6, 7, 9, 7, 8, 9, 7, 8, 8, 9, 10, 5, 7, 8, 11, 9, 13, 10, 10, 7, 9, 8, 12, 11, 12, 10, 12, 12, 12, 10, 10, 14, 12, 11, 12, 13, 10, 12, 10, 13, 15, 13, 11, 12, 12, 15, 17, 12, 13, 13, 16
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OFFSET

3,4


LINKS

Peter J. C. Moses, Table of n, a(n) for n = 3..1002


EXAMPLE

Let n=16, prime(16)=53. Consider the first step of the long division of 53 by 3:
53
3
23
Since 23 is prime, then 3 contributes 1 into a(16); also in the first step of the long division of 53 by 5,17,23 (and only by them) we obtain primes (3,2,7). So a(16)=4.


CROSSREFS

Sequence in context: A272979 A102351 A078173 * A129759 A137467 A261461
Adjacent sequences: A248002 A248003 A248004 * A248006 A248007 A248008


KEYWORD

nonn


AUTHOR

Vladimir Shevelev, Sep 29 2014


EXTENSIONS

More terms from Peter J. C. Moses, Oct 12 2014


STATUS

approved



