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A066286 For even n>=4, let f(n)=A066285(n/2) be the minimal difference between primes p and q whose sum is n. This sequence contains the successive maxima of f. +0
4
0, 2, 6, 18, 30, 36, 42, 54, 66, 78, 84, 90, 96, 150, 174, 186, 234, 240, 270, 276, 336, 366, 420, 456, 600, 666, 738, 786, 906, 1050, 1242, 1440, 1620, 1692, 2172, 2562, 2610, 3030, 3180, 3234, 3444, 3588, 3666, 3702, 4020, 4128, 4170, 4224, 4434, 4704, 5508, 5568, 6678, 6858, 8790, 8976, 10782 (list; graph; listen)
OFFSET

0,2

COMMENT

All terms appear to be divisible by 6, except the first two.

MATHEMATICA

f[n_] := For[p=n/2, True, p--, If[PrimeQ[p]&&PrimeQ[n-p], Return[n-2p]]]; For[n=4; max=-1, True, n+=2, If[f[n]>max, Print[max=f[n]]]]

CROSSREFS

The corresponding values of n are in A065978.

Adjacent sequences: A066283 A066284 A066285 this_sequence A066287 A066288 A066289

Sequence in context: A127257 A050832 A032649 this_sequence A034881 A064842 A101695

KEYWORD

nonn

AUTHOR

Dean Hickerson (dean(AT)math.ucdavis.edu), Dec 12, 2001

EXTENSIONS

a(51)-a(55) from Gilmar Rodriguez (Gilmar.Rodriguez(AT)nwfwmd.state.fl.us), Jun 16 2005.

a(56) from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 27 2005

a(57) from Gilmar Rodriguez (Gilmar.Rodriguez(AT)nwfwmd.state.fl.us), Jul 07 2005

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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