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A137771 Prime numbers p such that p +- ((p-1)/8) are primes. +0
1
241, 433, 1153, 2593, 3121, 5521, 6673, 7393, 8353, 8641, 10513, 13681, 19441, 21121, 22273, 32401, 34273, 43441, 48193, 49201, 54721, 62401, 68881, 69313, 71473, 74161, 77761, 86161, 87121, 104113, 105601, 114913, 116833, 119953 (list; graph; listen)
OFFSET

1,1

EXAMPLE

241+-(240/8)=primes

433+-(432/8)=primes

MATHEMATICA

w=8; s=""; For[i=1, i<10^3*2, p=Prime[i]; If[PrimeQ[p-((p-1)/w)]&&PrimeQ[p+((p-1)/w)], (*Print[p, ":", p-((p-1)/w), ", ", p+((p-1)/w)]; *)s=s<>ToString[p]<>", "]; i++ ]; Print[s]

Select[Prime[Range[15000]], PrimeQ[ # + (# - 1)/8] && PrimeQ[ # - (# - 1)/8] &] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 02 2008

CROSSREFS

Sequence in context: A142918 A139502 A140629 this_sequence A108831 A068706 A142233

Adjacent sequences: A137768 A137769 A137770 this_sequence A137772 A137773 A137774

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 27 2008

EXTENSIONS

More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), May 02 2008

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.


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