Tag Archives: Square Numbers

Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square

    The set     has the property that the product of any two of them plus one is the square of a rational number.   ……….     ……….     ……….     ……….     ………. … Continue reading

Posted in Number Puzzles | Tagged , | Leave a comment

Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square

    The set     has the property that the product of any two of them plus one is the square of a rational number.   ……….     ……….     ……….     ……….     ………. … Continue reading

Posted in Number Puzzles | Tagged | Leave a comment

Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square

    The set     has the property that the product of any two of them plus one is the square of a rational number.   ……….     ……….     ……….     ……….     ………. … Continue reading

Posted in Number Puzzles | Tagged | Leave a comment

Set {1,b,c,d,e} such that the product of any two of them increased by 1 is a square

    The set     has the property that the product of any two of them plus one is the square of a rational number. where                           … Continue reading

Posted in Number Puzzles | Tagged , | Leave a comment

Set {a,b,c,d,e} such that the product of any two of them increased by 1 is a square

    The set     has the property that the product of any two of them plus one is the square of a rational number. where         the next solutions are:   Find the next set. … Continue reading

Posted in Number Puzzles | Tagged | Leave a comment

Set {a,b,c,d} such that the product of any two of them increased by 1 is a square — Part 3

      ………………….     ………………….     ………………….       ……………………     ……………………     ………..     Or     ……………………     ……………………     ………..                                      …………………………………………………………..           … Continue reading

Posted in Number Puzzles | Tagged | Leave a comment

Set {a,b,c,d} such that the product of any two of them increased by 1 is a square — Part 2

      …………………     …………………     …………………     We set       ………………………     ………………………     …………………….                                 … Continue reading

Posted in Number Puzzles | Tagged | Leave a comment

Set {a,b,c,d} such that the product of any two of them increased by 1 is a square — Part 1

      ………..     ………..     ………..     In part 1,   we set     ………………………………     ………………………     ………….                           … Continue reading

Posted in Number Puzzles | Tagged | Leave a comment

Make {x^2 – axy + by^2, x^2 – cxy + dy^2} squares

    where     are any four consecutive prime numbers   For example,                                                

Posted in Number Puzzles | Tagged | Leave a comment

Make {x^2 + y^2 ± xy, x^2 + z^2 ± xy, y^2 + z^2 ± xy} squares

                                                                            (1)                        Here are some solutions:     Find other solutions where                                                                             (2)                      Find positive integers     such that                 … Continue reading

Posted in Number Puzzles | Tagged | Leave a comment