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 A^2 = B^3 + C^3
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 smallest integer whose first n multiples all contain a 3
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 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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Monthly Archives: December 2016
Antimagic Square 4X4
An antimagic square is an array of integers from 1 to such that each row, column, and main diagonal produces a different sum such that these sums form a sequence of consecutive integers. … Continue reading
Make {x^2 + 3xy + y^2, x^2 + 5xz + z^2, y^2 + 7yz + z^2} squares
#1 Here are the first few solutions: #2 #3 the first few solutions: #4 … Continue reading
Make {x^2 – 2xy + y^2, x^2 – 3xz + z^2, y^2 + 5yz + z^2} squares … Part 3
Find three positive integers such that and Here are the first few solutions find the next few solutions … Continue reading
Make {x^2 – 2xy + y^2, x^2 + 3xz + z^2, y^2 – 5yz + z^2} squares … Part 2
Find three positive integers such that and Here are the first few solutions: Find the next few solutions. … Continue reading
Make {x^2 + 2xy + y^2, x^2 + 3xz + z^2, y^2 – 5yz + z^2} squares … Part 1
where are positive integers. Here are the first few solutions: Find the next few solutions. … Continue reading
To make {x^2 + y^2 – 1, x^2 – y^2 – 1} squares
Find two distinct positive integers to make the two expressions squares Here’s one family of solutions: and another family of solutions … Continue reading
Make {(x^2 + x*y + y^2), (x^2 – x*z + z^2), (y^2 + y*z + z^2)} squares … Part 5
These are the first few solutions I found:
Make {(a^2 + 12*b^2), (12*a^2 + b^2)} squares
Find distinct positive integers such that Paul found and their multiples … Continue reading
Make {(x^2 – xy + y^2), (x^2 – xz + z^2), (y^2 – yz + z^2)} squares … Part 4
Find distinct integers to make the three expressions squares (1) Pipo found: (2) Here’s another set of solutions … Continue reading
Make {(x^2 + xy + y^2), (x^2 – xz + z^2), (y^2 – yz + z^2)} squares … Part 3
Find distinct integers to make the three expressions squares