# Tag Archives: Cubes

## {x+y, x^2+y^2, x^3+y^3} are squares, and {x^4+y^4} cubes

Find two positive integers such that   Here’s one solution:         Find other solutions.

## n-digit numbers whose cubes end with the same n digits

1-digit :   =   64   =   216   =   729   2-digit :   =   13824   =   15625   =   117649   =   438976   3-digit :   = … Continue reading

## A^3 + B^3 = C^3 ± 1

(1)                                                     ………………………………………………………………………. ……………………………………………………………………….   (2)                                                        …………………………………………………………………… …………………………………………………………………………                               … Continue reading

## Cubes with same digits

The digits of can be permuted to form   cube whose digits can be permuted to produce two other cubes :               and three other cubes :     Paul found:   … Continue reading

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## Cubes that begin with 2000,2001,…,2015

Determine the smallest cubes that begin with,   2000,   2001,   2002,   …, 2015,   and the last digit (in each case) are from   0 to 9.   Here are some examples.   Complete the tables. … Continue reading

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## Equation (A^3 + B^3)(C^3 – D^3) = N^3

Here are some solutions:           Other sequences:     Find more solutions

## When is the sum of two squares a cube?

multiplying both sides by

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## Squares that can be transformed into a cube if two digits are increased by one

excluding   ,   ,   etc.    excluding   ,     etc        Contributor:   pipo

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## Squares that can be transformed into a cube if one digit is increased by 1

Paul found: 39204   =   198^2 39304   =   34^3 39204000000   =   198000^2 39304000000   =   3400^3 98831640625   =   314375^2 98931640625   =   4625^3     pipo found: 1199462890625   … Continue reading

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## (10*a + b) * c = a^2 + b^2 + c^2

Paul found – Part 1   Pattern #2 :

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