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Search: id:A152293
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| A152293 |
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Primes of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=3. |
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+0
4
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| 11, 31, 47, 151, 271, 359, 439, 599, 719, 1031, 1759, 1871, 2287, 2711, 2767, 2879, 3719, 3911, 4079, 5119, 5527, 5791, 6199, 6271, 6991, 7151, 7607, 7727, 8447, 8647, 8831, 9151, 9391, 9511, 9839, 10159, 10687, 10847, 11279, 12479, 12919, 13487
(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=3; 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
Sequence in context: A142343 A043124 A043904 this_sequence A031287 A057630 A057628
Adjacent sequences: A152290 A152291 A152292 this_sequence A152294 A152295 A152296
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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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