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A259683
Let m = A062695(n); a(n) is value of v in decomposition of m defined in Comments.
0
17, 41, 13, 1, 1, 1, 11, 23, 1, 7, 1, 113, 1, 53, 97, 1, 313, 1, 11, 353, 1, 193, 1, 1, 1, 7, 1, 1, 31, 1, 1, 13, 33, 43, 29, 31, 7, 1, 1, 1, 241, 1, 1, 7, 1, 433, 127, 89, 1, 1, 197, 1, 1, 17, 1, 29, 1, 85, 53, 33, 29, 1, 1, 577, 15, 1, 1, 79, 1, 1, 1201, 1, 1241
OFFSET
1,1
COMMENTS
Let m = A062695(n). Write m*y^2 = x^3 - x as m*square = A*B*(A-B)*(A+B) where A and B are the numerator and denominator of x. Then A, B, A-B, A+B have the form s*a^2, t*b^2, u*c^2, v*d^2 for some decomposition of m as s*t*u*v and some natural numbers a,b,c,d. These eight numbers are given in A259680-A259687.
LINKS
G. Kramarz, All congruent numbers less than 2000, Math. Annalen, 273 (1986), 337-340.
G. Kramarz, All congruent numbers less than 2000, Math. Annalen, 273 (1986), 337-340. [Annotated, corrected, scanned copy]
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jul 04 2015
EXTENSIONS
More terms from Jinyuan Wang, Jan 01 2021
STATUS
approved