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A115093
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Primes of the form p*q-2, where p and q are distinct primes.
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3
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13, 19, 31, 37, 53, 67, 83, 89, 109, 113, 127, 131, 139, 157, 181, 199, 211, 233, 251, 257, 263, 293, 307, 317, 337, 353, 379, 389, 401, 409, 443, 449, 467, 479, 487, 491, 499, 503, 509, 541, 557, 563, 571, 577, 587, 631, 647, 653, 677, 683, 701, 719, 743
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OFFSET
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1,1
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COMMENTS
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This sequence is a subset of A063637, which is the union of this sequence and A049002.
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LINKS
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MATHEMATICA
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SemiPrimeQ[n_] := (n>1) && (2==Plus@@(Transpose[FactorInteger[n]][[2]])); Select[Prime[Range[150]], SemiPrimeQ[ #+2] && !IntegerQ[Sqrt[ #+2]]&]
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CROSSREFS
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Cf. A049002 (primes of the form p^2-2, where p is prime), A063637 (primes of the form p*q-2 where p and q are primes).
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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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