Tag Archives: Equal sums

(A_1)^n + (A_2)^n +…+ (A_5)^n = (B_1)^n +…+ (B_5)^n, n = 1,3,5,7

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A^n + B^n + C^n = D^n + E^n + F^n, n = 2, 6

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Equal sums of 5-th powers (4 terms)

    Here are a few with the terms less than 100                                       Find other solutions             … Continue reading

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A^n + B^n + C^n = D^n + E^n + F^n, n = 2,4

                                                                       

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Num3er 666 and equal sums and sum of 5-th powers

        Note that                                              

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1^2/1! + 3^2/3! + 5^2/5! + … = 2^2/2! + 4^2/4! + 6^2/6! + …

    Show that   Are there exponents other than   n = 2   for which the equality holds?                                    

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a^3 + b^3 + c^3 = d^3 + e^3 + f^3 and a*b*c = d*e*f

    If    then    and      ….. (1)   ….. (2) (1)   –   (2) : since    then    Solutions to     are called “Ramanujan Numbers” The first five of these are: 1729,    … Continue reading

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Magic Square – Equal sums and square sums

                det = 360     ……….     ………     ……….     ……….     ……….     ………     Rows:   Columns :   and {(4, 5, 6),   (2, 3, 1), … Continue reading

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Equal sums of like powers

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