Monthly Archives: April 2014

Quadruples (a,b,c,d); product of any two plus 1 is a square

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Num3er 1612

               

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Equalities | 24^2/(23*25) + 25^2/(24*26) + … + 34^2/(33*35)

  Explain why the following equalities hold                

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Puzzle | Triangle (a, b, c) such that c^3 = b^3 + a^3

                                 

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Mental calculations of a square of any number between 50 and 59

                     

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Puzzle | Num3ers: 9, 12, 16 — Golden ratio

                                                                                               Part 1                                                                                                    Part 2                          

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Num3er 27918

    Solution:                              

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System of Equations: A^3 – B^3 = x^5 and A^5 – B^5 = y^3

    Analytical approach :                      

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Puzzle | two Heronian triangles (a,b,c) and (a,b,d)?

             

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Four consecutive num3ers having the same number of divisors

  Here’s a list of all the sets of 4 consecutive numbers (< 10,000) having the same number of divisors. Is it possible to find sets of 5 or 6 consecutive numbers having the same number of divisors? Search for … Continue reading

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