Monthly Archives: July 2015

Solve A^5 – B^5 = C^3 – D^3 = E^2 – F^2 = N for positive integers

                       A,   B,   C,   D,   E,   F,   and   N   are positive integers   for example,     Find other solutions for   A < 100           … Continue reading

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Isosceles Triangle whose Ratio Area/Perimeter is a prime number

  For example,     Can you find another isosceles triangle whose sides are integers and Area / Perimeter = p where p is a prime number?   Note that and squaring both sides,             … Continue reading

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A^n + B^n + C^n + D^n is a square for n=1,2 — (Part 2)

  Part 1 :   https://benvitalenum3ers.wordpress.com/2015/07/27/an-bn-cn-dn-is-a-square-for-n12/ ,   Part 2 :       Here are the first few:   Complete the rest.                                  

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A^n + B^n + C^n + D^n is a square for n=1,2

                                   

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Concatenation : A^2 || B^2 = C^2, (A=10,11, …, 19)

  ,         with                                                                         Jeff Curtis found:                                                                    ——————————————                                                                            Paul found:                                                                  ——————————————                                                                          Paul Found:     … Continue reading

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Concatenation : A^2 || B^2 || C^2 = D^3

      Find other solutions     Paul found:     OR   OR                              

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Concatenation : A^2 || B^2 = C^2, (A=4,5,6,7,8.9)

  ,   with                                                                                                                                               Jeff Curtis found:                                                                                                                                                                                                                      Jeff Curtis found:                                                                          … Continue reading

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Concatenation : A^2 || B^2 = C^2, (A=1,2,3)

                                                                                                                                                                                                               Find more solutions                      

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Concatenation : A^2 || B^2 = C^2, (B = 3)

    If, for example,   ,   then     The equation has infinite many solutions.   Here are the first few solutions:                                 … Continue reading

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Concatenation : A^2 || B^2 = C^2, (B = 1)

    If, for example,   ,   then     The equation has infinite many solutions.   Here are the first few solutions:                                 … Continue reading

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