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A152388 Primes of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=127. +0
1
6143, 11519, 23039, 205823, 253439, 345599, 417023, 463103, 752639, 1071359, 1474559, 1511423, 1753343, 1766399, 1903103, 2188799, 2271743, 2711039, 2741759, 2747903, 2813183, 2997503, 3032063, 3258623, 3371519, 3463679 (list; graph; listen)
OFFSET

1,1

COMMENT

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.

MATHEMATICA

lst={}; n=127; Do[p=Prime[k]; If[PrimeQ[(p-n)/(n+1)]&&PrimeQ[(n+1)*p+n], AppendTo[lst, p]], {k, 2*9!}]; lst

CROSSREFS

Cf. A152292, A152293, A152294, A152295

Sequence in context: A065695 A114131 A144491 this_sequence A007992 A033288 A057880

Adjacent sequences: A152385 A152386 A152387 this_sequence A152389 A152390 A152391

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 02 2008

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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