

A115207


a(1)=1. a(n) = number of earlier terms of the sequence which when added to n produce a composite number.


4



1, 0, 1, 1, 3, 2, 5, 5, 7, 4, 8, 5, 10, 9, 11, 10, 14, 10, 13, 16, 14, 16, 18, 18, 19, 20, 16, 20, 21, 23, 23, 25, 23, 27, 30, 23, 27, 27, 31, 27, 33, 31, 31, 33, 37, 31, 41, 31, 41, 39, 40, 34, 43, 45, 47, 36, 45, 40, 50, 43, 51, 44, 47, 50, 56, 41, 56, 53, 55, 47, 61, 55, 60, 57
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OFFSET

1,5


LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000


EXAMPLE

Adding 7 to the first 6 terms of the sequence gives [8,7,8,8,10,9]. Of these terms, five are composite, so a(7) = 5.


MATHEMATICA

a = {1, 0}; For[n = 3, n < 10001, n++, in = 0; For[j = 1, j < Length[a] + 1, j++, If[! PrimeQ[n + a[[j]]], in++]]; AppendTo[a, in]]; a (* G. C. Greubel, Feb 05 2016 *)


PROG

(PARI) seq=vector(200); seq[1]=1; print1(1, ", "); for(j=1, 190, count=0; for(k=1, j, if(isprime(j+1+seq[k])==0 && (j+1+seq[k])>1, count=count+1; )); seq[j+1]=count; print1(seq[j+1], ", ")) \\ Matthew Conroy, Feb 09 2006


CROSSREFS

Cf. A115208, A115209, A115210.
Sequence in context: A196438 A019828 A289627 * A093048 A141732 A325695
Adjacent sequences: A115204 A115205 A115206 * A115208 A115209 A115210


KEYWORD

nonn


AUTHOR

Leroy Quet, Jan 16 2006


EXTENSIONS

More terms from Matthew Conroy, Feb 09 2006


STATUS

approved



