

A109885


Let n be an even integer > 2. Let PrimeP be the number of prime partition pairs {p,q} corresponding to n such that n = p + q, p and q are prime and p <= q. Let CompP be the number of composite partition pairs {r,s} corresponding to n such that n = r + s, r is prime, s is composite and r <= s. For what n's is 2*PrimeP > CompP?


0



4, 10, 22, 24, 34, 36, 48, 54, 60, 66, 72, 78, 84, 90, 102, 114, 120, 126, 144, 150, 156, 168, 180, 186, 198, 204, 210, 240, 246, 252, 270, 294, 300, 324, 330, 360, 378, 390, 420, 450, 462, 480, 510, 540, 546, 570, 600, 630, 660, 690, 714, 720, 750, 780, 840
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OFFSET

1,1


COMMENTS

Except for a(1), a(2) a(3) & a(5), a(n)==0 (mod 6).  Robert G. Wilson v


LINKS

Table of n, a(n) for n=1..55.


MATHEMATICA

fQ[n_] := Block[{t = n  Prime@Range@PrimePi[n/2]}, 2Length[Select[t, PrimeQ]] > Length[t]]; Select[ 2Range[2, 434], fQ[ # ] &] (* Robert G. Wilson v, Nov 03 2005 *)


CROSSREFS

Sequence in context: A053643 A111927 A227803 * A054211 A112770 A217514
Adjacent sequences: A109882 A109883 A109884 * A109886 A109887 A109888


KEYWORD

nonn


AUTHOR

Gilmar Rodriguez Pierluissi (gilmarlily(AT)yahoo.com), Aug 31 2005


EXTENSIONS

Edited by Robert G. Wilson v, Nov 03 2005


STATUS

approved



