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A242936
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Numbers n such that n*prime(n) + (n+1)*(prime(n+1)) is semiprime.
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1
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2, 5, 9, 11, 13, 16, 17, 22, 23, 27, 28, 30, 31, 33, 37, 38, 41, 42, 44, 45, 47, 53, 56, 58, 61, 64, 65, 67, 68, 70, 73, 74, 75, 76, 80, 81, 84, 85, 88, 90, 92, 93, 96, 99, 102, 105, 106, 107, 108, 109, 110, 112, 114, 116, 117, 119, 122, 123, 124, 125, 126, 129
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OFFSET
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1,1
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LINKS
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EXAMPLE
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a(2) = 5: 5*prime(5) + (5+1)*prime(5+1) = 133 = 7 * 19 which is semiprime.
a(3) = 9: 9*prime(9) + (9+1)*prime(9+1) = 497 = 7 * 71 which is semiprime.
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MAPLE
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with(numtheory): A242936:= proc() if bigomega(n*ithprime(n) + (n+1)*ithprime(n+1) = 2 then return (n) : fi; end: seq(A242936 (), n=1..500);
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MATHEMATICA
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c = 0; Do[If[PrimeOmega[n*Prime[n] + (n+1)*Prime[n+1]]==2, c++; Print[c, " ", n]], {n, 1, 35000}];
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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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