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49, 61, 64, 74, 95, 104, 110, 125, 146, 151, 154, 163, 166, 173, 184, 199, 205, 209, 215, 229, 238, 244, 250, 259, 266, 269, 278, 293, 314, 320, 335, 346, 350, 355, 359, 364, 376, 385, 391, 394, 398, 403, 410, 419, 424, 427, 436, 439, 448, 451, 454, 460
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listen;
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OFFSET
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1,1
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COMMENTS
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Usually the greatest p with p,q both prime, p+q = 2m, is equal to the largest prime <= 2m-2, but not always. These are the exceptions.
Almost all natural numbers are in the sequence so the above comment is misleading in general, and only fitting for small numbers. - Jens Kruse Andersen, Jul 13 2014
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LINKS
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MATHEMATICA
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a2[n_] := {p, q} /. {ToRules @ Reduce[p+q == 2*n, {p, q}, Primes]} // Max; a8[n_] := Max[FactorInteger[(2*n)!/n!^2]]; Select[Range[500], a2[#] != a8[#-1]&] (* Jean-François Alcover, Dec 19 2013 *)
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PROG
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(PARI) for(m=2, 1000, p=precprime(2*m-2); if(!isprime(2*m-p), print1(m", "))) \\ Jens Kruse Andersen, Jul 12 2014
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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