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 A^2 = B^3 + C^3
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 smallest integer whose first n multiples all contain a 3
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Monthly Archives: September 2016
Pythagorean triangles diff. between sides,perim,diam. of inscribed circles are squares,diff. between Areas a cube
Find two Pythagorean triangles and such that are all squares And, the difference of areas a cube represent the respective perimeters the respective diameters of inscribed circles Unfortunately, Paul’s solution … Continue reading
Pythagorean triangleperimeter a square and diameter of the inscribed circle a cube
Find a Pythagorean triangle with perimeter a square and diameter of the inscribed circle a cube Let the sides be , , Then the diameter is to be a cube, … Continue reading
2 Pythagorean triangles – sum/difference of perimeters,difference of areas are squares
Find two Pythagorean triangles the sum or difference of whose perimeters is a square, the difference of areas a square … Continue reading
Pythagorean triangles – each side is a sum of two squares
Find Pythagorean triangles each of whose sides is a sum of two squares. For example,
2 Pythagorean triangles (a,b,c),(d,e,f); ab=ef and bc=de
Find two Pythagorean triangles (a, b, c) and (d, e, f) for which a – b = e – f, and b – c = d – e … Continue reading
Pythagorean triangle (a, b, c): {a^2 – a, b^2 – b, c^2 – c} to be made squares
Find a Pythagorean triangle such that the square of any side exceeds that side by a square … Continue reading
Pythagorean triangleperimeter + square of any side is a square
Find a Pythagorean triangle the sum whose perimeter and square of any side is a square Let the sides be , where Then are made squares where , , , … Continue reading
Pythagorean triangles {a^2 + b^2 ± a*b/2, a^2 + b^2 ± a*b} to be made squares
Solve (1) (2) where are the two odd legs in a Pythagorean triangle. … Continue reading
Two Pythagorean triangles with Equal Sums (or differences) of legs
Find other pairs.