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Numbers n that are the hypotenuse of exactly 37 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 37 ways.
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%I #14 Dec 30 2019 09:50:49

%S 71825,93925,122525,143650,156325,173225,187850,209525,215475,223925,

%T 244205,245050,257725,267325,273325,281775,287300,296225,308425,

%U 312650,346450,357425,367575,375700,376025,382925,409825,419050,426725,430950

%N Numbers n that are the hypotenuse of exactly 37 distinct integer-sided right triangles, i.e., n^2 can be written as a sum of two squares in 37 ways.

%C 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

%H Ray Chandler, <a href="/A097245/b097245.txt">Table of n, a(n) for n = 1..10000</a>

%Y Cf. A004144 (0), A084645 (1), A084646 (2), A084647 (3), A084648 (4), A084649 (5), A097219 (6), A097101 (7), A290499 (8), A290500 (9), A097225 (10), A290501 (11), A097226 (12), A097102 (13), A290502 (14), A290503 (15), A097238 (16), A097239 (17), A290504 (18), A290505 (19), A097103 (22), A097244 (31), A097282 (40), A097626 (67).

%K nonn

%O 1,1

%A _James R. Buddenhagen_, Sep 17 2004

%E More terms from _Ray Chandler_, Sep 18 2004