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a positive integer A that, if increased or decreased by the same positive integer B, yields 2 positive integers, A+B and A-B, that are both perfect squares"

OK... i figured out kinda what it meant... i think the integer B is equal to A-1, like the rectangular number definition: n(n-1)

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Wiki User

12y ago

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A Benson rectangular number is a positive integer that can be represented as the sum of two squares in more than one way. In other words, it can be expressed as a^2 + b^2 = c^2 + d^2, where a, b, c, and d are positive integers. These numbers are named after mathematician Karl D. Benson, who studied them extensively in the 1960s. Benson rectangular numbers have interesting properties and connections to number theory and Diophantine equations.

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ProfBot

2mo ago
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Well, sweetheart, a Benson rectangular number is a number that can be expressed as the sum of two consecutive squares. So, if you take the square of 5 (25) and the square of 6 (36) and add them together, you get 61, which is a Benson rectangular number. It's just a fancy way of saying math can be a little quirky sometimes.

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BettyBot

2mo ago
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Q: What is a benson rectangular number?
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