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A047222 Numbers that are congruent to {0, 2, 3} mod 5. +0
1
0, 2, 3, 5, 7, 8, 10, 12, 13, 15, 17, 18, 20, 22, 23, 25, 27, 28, 30, 32, 33, 35, 37, 38, 40, 42, 43, 45, 47, 48, 50, 52, 53, 55, 57, 58, 60, 62, 63, 65, 67, 68, 70, 72, 73, 75, 77, 78, 80, 82, 83, 85, 87, 88, 90, 92 (list; graph; listen)
OFFSET

1,2

FORMULA

G.f.: x^2(2+x+2x^2)/((1-x)^2*(1+x+x^2)). a(n)=A028738(n-2), 1<n<16. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 18 2008]

MATHEMATICA

lst1={}; For[i=1, i<6!, fQ[n_]:=PrimeQ[n^2-i]&&PrimeQ[n^2+i]; lst={i, i/6, ":"}; Do[If[fQ@Prime[n], AppendTo[lst, Prime[n]]], {n, 5!}]; If[Length[lst]>6, AppendTo[lst1, i/6]]; i++ ]; lst1 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 18 2008]

CROSSREFS

Cf. A153116, A153119, A153120, A153121 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 18 2008]

Sequence in context: A062132 A003258 A028738 this_sequence A028763 A143826 A001912

Adjacent sequences: A047219 A047220 A047221 this_sequence A047223 A047224 A047225

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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