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Search: id:A066938
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| A066938 |
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Primes of the form p*q+p+q, where p and q are primes. |
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+0
7
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| 11, 17, 23, 31, 41, 47, 53, 59, 71, 79, 83, 89, 107, 113, 127, 131, 151, 167, 179, 191, 227, 239, 251, 263, 269, 271, 293, 311, 359, 383, 419, 431, 439, 443, 449, 479, 491, 503, 521, 587, 593, 599, 607, 631, 647, 659, 683, 701, 719, 727, 743, 773, 809, 827
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OFFSET
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1,1
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COMMENT
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For p not equal q either p*q or p+q is odd, so their sum is odd.
The representation is ambiguous, e.g. 2*7+2+7=23=3*5+3+5.
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EXAMPLE
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59 is in the sequence because 59 = 2 * 19 + 2 + 19.
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MATHEMATICA
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p = Table[ Prime[n], {n, 1, 150} ]; q = {}; Do[r = p[[i]]*p[[j]] + p[[i]] + p[[j]]; If[ PrimeQ[r], q = Append[q, r]], {i, 1, 149}, {j, i + 1, 150} ]; Union[q]
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CROSSREFS
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Cf. A072668, A067432, A072673.
Sequence in context: A106563 A106574 A006621 this_sequence A076812 A074207 A063638
Adjacent sequences: A066935 A066936 A066937 this_sequence A066939 A066940 A066941
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KEYWORD
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nonn
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jan 24, 2002
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EXTENSIONS
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Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 01 2002
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