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A105783 Number of terms among the first n primes that are divisors of the sum of the first n primes. +0
2
1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 3, 0, 2, 1, 3, 1, 1, 2, 1, 1, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 1, 1, 3, 2, 3, 2, 3, 1, 3, 1, 3, 1, 2, 2, 3, 3, 3, 2, 4, 1, 1, 3, 4, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 3, 2, 3, 3, 1, 3, 1, 1, 2, 4, 1, 3, 3, 1, 1, 1, 4, 3, 2, 4, 3, 3, 3, 4, 1, 1, 2, 1, 0, 2, 3, 2, 0, 2, 0, 4, 1, 4 (list; graph; listen)
OFFSET

1,3

COMMENT

Sequence inspired by A102863 (Giovanni Teofilatto).

EXAMPLE

a(2)=0 because neither 2 nor 3 is a divisor of 5; a(5)=2 because exactly two terms from {2,3,5,7,11} are divisors of 2+3+5+7+11=28.

MAPLE

with(numtheory): a:=n->nops(factorset(sum(ithprime(k), k=1..n)) intersect {seq(ithprime(j), j=1..n)}): seq(a(n), n=1..130);

CROSSREFS

Cf. A102863.

Adjacent sequences: A105780 A105781 A105782 this_sequence A105784 A105785 A105786

Sequence in context: A029401 A086150 A105166 this_sequence A022879 A064984 A038555

KEYWORD

nonn

AUTHOR

Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 19 2005

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Last modified October 6 16:13 EDT 2008. Contains 144667 sequences.


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