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A137675 Prime numbers p such that p +- a, p +- b, p +- c and p +- d are prime numbers, where a, b, c and d are distinct positive integers with p > d, d > c, c > b and b > a. +0
1
37, 41, 43, 47, 53, 59, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

s=""; q=1; For[i=2, i<10^2, p=Prime[i]; For[a=2, a<p, If[PrimeQ[p-a]&&PrimeQ[p+a], For[b=a+2, b<p, If[PrimeQ[p-b]&&PrimeQ[p+b], For[c=b+2, c<p, If[PrimeQ[p-c]&&PrimeQ[p+c], For[d=c+2, d<p, If[p>q&&PrimeQ[p-d]&&PrimeQ[p+d], (*Print[p, ":", a, ", ", b, ", ", c, ", ", d]; *)s=s<>ToString[p]<>", "; q=p]; d=d+2]]; c=c+2]]; b=b+2]]; a=a+2]; i++ ]; Print[s]

CROSSREFS

Sequence in context: A081645 A069963 A071855 this_sequence A100722 A093690 A090263

Adjacent sequences: A137672 A137673 A137674 this_sequence A137676 A137677 A137678

KEYWORD

nonn

AUTHOR

Vladimir Orlovsky (4vladimir(AT)gmail.com), Apr 27 2008; corrected May 02 2008

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


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