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Search: id:A152294
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| A152294 |
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Primes of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=4. |
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+0
3
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| 29, 89, 419, 509, 659, 1259, 1289, 1319, 1949, 2099, 2309, 2339, 2609, 2939, 3989, 4049, 6089, 6599, 7559, 8609, 9239, 9539, 10709, 12659, 12899, 13469, 13499, 18119, 20399, 21089, 21269, 21419, 22469, 23369, 26669, 27539, 28559, 30059, 30449
(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)=primeand(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=4; 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, A152292, A152293
Sequence in context: A047650 A141883 A142791 this_sequence A107940 A039416 A043239
Adjacent sequences: A152291 A152292 A152293 this_sequence A152295 A152296 A152297
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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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