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A046086
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Smallest member 'a' of the primitive Pythagorean triples (a,b,c) ordered by increasing c, then b.
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21
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3, 5, 8, 7, 20, 12, 9, 28, 11, 33, 16, 48, 36, 13, 39, 65, 20, 60, 15, 44, 88, 24, 17, 51, 85, 119, 52, 19, 104, 57, 95, 28, 133, 84, 140, 21, 60, 105, 120, 32, 96, 23, 69, 115, 160, 161, 68, 207, 136, 25, 75, 204, 36, 175, 180, 225, 76, 27, 252, 152, 135, 189
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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maxHypo = 389; r[b_, c_] := Reduce[0 < a <= b < c && a^2 + b^2 == c^2, a, Integers]; Reap[Do[r0 = r[b, c]; If[r0 =!= False, {a0, b0, c0} = {a, b, c} /. ToRules[r0]; If[GCD[a0, b0, c0] == 1, Print[a0]; Sow[a0]]], {c, 1, maxHypo}, {b, 1, maxHypo}]][[2, 1]] (* Jean-François Alcover, Oct 22 2012 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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