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A173664
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Sums of 2 primes that are not product of 2 primes.
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1
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5, 7, 8, 12, 13, 16, 18, 19, 20, 24, 28, 30, 31, 32, 36, 40, 42, 43, 44, 45, 48, 50, 52, 54, 56, 60, 61, 63, 64, 66, 68, 70, 72, 73, 75, 76, 78, 80, 81, 84, 88, 90, 92, 96, 98, 99, 100, 102, 103, 104, 105, 108, 109, 110, 112, 114, 116, 120, 124, 126
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OFFSET
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1,1
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LINKS
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FORMULA
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MAPLE
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a:= proc(n) option remember; local k;
if n=1 then 5
else for k from a(n-1)+1 do
if add (i[2], i=ifactors(k)[2])=2 then next fi;
if irem (k, 2)=0 or isprime (k-2) then break fi
od; k
fi
end:
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MATHEMATICA
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Select[Union[Flatten[Table[Prime[i] + Prime[j], {i, 25}, {j, 25}]]], PrimeOmega[#] != 2 &] (* Alonso del Arte, Feb 08 2013 *)
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PROG
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(PARI) is(n)=if(n%2, isprime(n-2)&&bigomega(n)!=2, n>2&&!isprime(n/2)) \\ above 4 * 10^18, conditional on the Goldbach conjecture Charles R Greathouse IV, Feb 09 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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