A113171 Short legs 'A' of exactly 7 primitive Pythagorean triangles.

660, 1092, 1140, 1155, 1260, 1320, 1365, 1380, 1428, 1540, 1560, 1740, 1785, 1820, 1860, 1980, 1995, 2184, 2220, 2340, 2380, 2415, 2436, 2460, 2508, 2580, 2604, 2660, 2805, 2820, 2856, 2860, 2940, 3003, 3036, 3060, 3108, 3120, 3135, 3180, 3192, 3220, 3300

Offset

1,1

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Formula

a^2+b^2=c^2

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

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

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: A349586 A023294 A067235 * A364004 A252519 A014362

Adjacent sequences: A113168 A113169 A113170 * A113172 A113173 A113174

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, Aug 25 2008

Extensions

More terms from Ray Chandler, Jan 22 2020

Status

approved