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 A^2 = B^3 + C^3
 Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square
 smallest integer whose first n multiples all contain a 3
 Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square
 Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
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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.
ndigit numbers whose cubes end with the same n digits
1digit : = 64 = 216 = 729 2digit : = 13824 = 15625 = 117649 = 438976 3digit : = … 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
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
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
Squares that can be transformed into a cube if two digits are increased by one
excluding , , etc. excluding , etc Contributor: pipo
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
(10*a + b) * c = a^2 + b^2 + c^2
Paul found – Part 1 Pattern #2 :