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A126956 Numbers n such that 3n+2, 4n+3 and 5n+4 are primes. +0
2
5, 17, 77, 89, 119, 185, 257, 287, 395, 665, 755, 797, 929, 1175, 1259, 1337, 1379, 1445, 1469, 1769, 2057, 2105, 3125, 3419, 3437, 3629, 3815, 3989, 4079, 4157, 4175, 4217, 4367, 4445, 4847, 5045, 5375, 6089, 6137, 6167, 6359, 6419, 6485, 6725, 6887 (list; graph; listen)
OFFSET

1,1

EXAMPLE

Take n = 185. Then 3*185 + 2 = 557, 4*185 + 3 = 743 and 5*185 + 4 = 929 are primes.

MATHEMATICA

Select[Range[7000], PrimeQ[3# + 2] && PrimeQ[4# + 3] && PrimeQ[5# + 4] &] (*Chandler*)

CROSSREFS

Intersection of A024893, A095278, A024897. Cf. A126955.

Sequence in context: A017957 A084777 A102387 this_sequence A009234 A053418 A023253

Adjacent sequences: A126953 A126954 A126955 this_sequence A126957 A126958 A126959

KEYWORD

nonn

AUTHOR

J. M. Bergot (thekingfishb(AT)yahoo.ca), Mar 19 2007

EXTENSIONS

Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Stuart Clary, Robert G. Wilson v and Zak Seidov, Mar 20 2007

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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