# Category Archives: Number Puzzles

## A^2 = B^3 + C^3

Solve, given all unknowns are non-zero integers

## 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

## smallest integer whose first n multiples all contain a 3

To find the smallest integer whose first n multiples all contain a 3   153×1,   153×2 1153×1,   1153×2,   1153×3 1183×1,   1183×2,   1183×3,   1183×4 3465×1,   3465×2,   3465×3,   3465×4,   3465×5 … Continue reading

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## 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

## 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

## 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

## 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

## 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