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Search: id:A097159
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| A097159 |
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Smallest prime p such that there are n consecutive quadratic residues mod p. |
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+0
7
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| 2, 7, 11, 19, 43, 67, 83, 131, 283, 277, 467, 479, 1907, 1607, 2543, 1559, 5443, 5711, 6389, 14969, 25703, 10559, 20747, 52057, 136223, 90313, 162263, 18191, 167107, 31391, 376589, 607153, 671947
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Additional terms less than 10^6: a(35)=298483, a(36)=422231, a(40)=701399, and a(42)=366791. - T. D. Noe (noe(AT)sspectra.com), Apr 03 2007
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EXAMPLE
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a(22)=10559, a(23)=20747 & a(28)=18191.
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MATHEMATICA
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f[l_, a_] := Module[{A = Split[l], B}, B = Last[ Sort[ Cases[A, x : {a ..} :> { Length[x], Position[A, x][[1, 1]] }] ]]; {First[B], Length[ Flatten[ Take[A, Last[B] - 1]]] + 1}]; g[n_] := g[n] = f[ JacobiSymbol[ Range[ Prime[n] - 1], Prime[n]], 1][[1]]; g[1] = 1; a = Table[0, {30}]; Do[b = g[n]; If[ a[[b]] < 31 && a[[b]] == 0, a[[b]] = n; Print[b, " = ", Prime[n]]], {n, 2555}]
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CROSSREFS
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Cf. A002307, A097160, A097161.
Cf. A129201.
Sequence in context: A106906 A106905 A103802 this_sequence A139603 A141183 A103182
Adjacent sequences: A097156 A097157 A097158 this_sequence A097160 A097161 A097162
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Jul 28 2004
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EXTENSIONS
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More terms from T. D. Noe (noe(AT)sspectra.com), Apr 03 2007
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