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A097225 Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 10 ways. 24
1625, 2125, 3250, 3625, 4250, 4625, 4875, 5125, 6375, 6500, 6625, 7250, 7625, 8500, 9125, 9250, 9750, 10250, 10875, 10985, 11125, 11375, 12125, 12625, 12750, 13000, 13250, 13625, 13875, 14125, 14500, 14625, 14875, 15250, 15375, 17000, 17125 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
If m is a term, then 2*m and p*m are terms where p is any prime of the form 4k+3. - Ray Chandler, Dec 30 2019
LINKS
MATHEMATICA
r[n_] := Reduce[0 < x <= y && n^2 == x^2 + y^2, {x, y}, Integers]; Reap[For[n = 5, n <= 20000, n++, rn = r[n]; If[rn =!= False, If[Length[r[n]] == 10, Print[n]; Sow[n]]]]][[2, 1]] (* Jean-François Alcover, Nov 15 2016 *)
CROSSREFS
Cf. A004144 (0), A084645 (1), A084646 (2), A084647 (3), A084648 (4), A084649 (5), A097219 (6), A097101 (7), A290499 (8), A290500 (9), A290501 (11), A097226 (12), A097102 (13), A290502 (14), A290503 (15), A097238 (16), A097239 (17), A290504 (18), A290505 (19), A097103 (22), A097244 (31), A097245 (37), A097282 (40), A097626 (67).
Sequence in context: A204726 A022060 A107524 * A345968 A186846 A198510
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified June 17 12:36 EDT 2024. Contains 373445 sequences. (Running on oeis4.)