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Search: id:A152292
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| A152292 |
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Primes of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=2. |
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5
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| 17, 23, 59, 89, 239, 269, 293, 383, 419, 503, 953, 1013, 1193, 1259, 1823, 1979, 2129, 2633, 2789, 3209, 3389, 4229, 5099, 5333, 6089, 6299, 6803, 7019, 7673, 7853, 8123, 8513, 8753, 8819, 9059, 9203, 10169, 10223, 10589, 10853, 10979, 11159, 12689
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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This is the general form : (p-n)/(n+1)=prime and (n+1)*p+n=prime; 'Safe' primes and'Sophie Germain' primes just one part of this general form; If n=1 then we got'Safe' primes and'Sophie Germain' primes.
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MATHEMATICA
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lst={}; n=2; Do[p=Prime[k]; If[PrimeQ[(p-n)/(n+1)]&&PrimeQ[(n+1)*p+n], AppendTo[lst, p]], {k, 7!}]; lst
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CROSSREFS
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Cf. A059455
Sequence in context: A126329 A130098 A046123 this_sequence A039319 A043142 A043922
Adjacent sequences: A152289 A152290 A152291 this_sequence A152293 A152294 A152295
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 02 2008
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