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A113171
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Short legs 'A' of exactly 7 primitive Pythagorean triangles.
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0
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660, 1092, 1140, 1155, 1260, 1320, 1365, 1380, 1428, 1540, 1560, 1740, 1785, 1820, 1860
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| a^2+b^2=c^2
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EXAMPLE
| Examples of triples: 660.779.1021, 660.989.1189, 660.2989.3061, 660.4331.4381, 660.12091.12109, 660.27221.27229, 660.108899.108901
1092.1325.1717, 1092.1595.1933, 1092.6035.6133, 1092.8245.8317, 1092.33115.33133, 1092.74525.74533, 1092.298115.298117
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MATHEMATICA
| PyphagoreanAs[a_]:=(q={}; k=0; Do[y=(a^2+b^2)^0.5; c=IntegerPart[y]; If[c==y, p=0; If[GCD[a, b, c]==1, AppendTo[q, a.b.c]; k++ ]], {b, a+1, a^2}]; PrependTo[q, k]; q)lst={}; Do[If[PyphagoreanAs[n][[1]]==7, Print[n]; AppendTo[lst, n]], {n, 6*10^2, 2*10^3}]; lst
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CROSSREFS
| Cf. A056866 Orders of non-solvable groups.. A093006 Referring to the triangle in A093005, sequence contains the least term with maximal number of divisors. A138605 Short legs of more than 3 primitive Pythagorean triangles. A033993 Numbers that are divisible by exactly four different primes.
Sequence in context: A171393 A023294 A067235 * A014362 A143042 A064261
Adjacent sequences: A113168 A113169 A113170 * A113172 A113173 A113174
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 25 2008
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