Optimus Prime

Number Theory Level 1

Which is the only prime number that can't be expressed as the difference of two consecutive squares?


The answer is 2.

J. S. González by J. S. González , 23, Mexico

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2 solutions

Tootie Frootie
Jul 3, 2015

all odd no.. can be represented as the difference of 2 consiqutive squares ... (a+1)^2- (a)^2= 2a+1 going through the series of prime numbers , we get that 2 is not a odd prime number therefore, it will not satisfy the above rule ...

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Timothy Wan
Jun 30, 2015

All odd numbers can be represented as differemce of two consecutive squares. ( a + 1 ) 2 − ( a 2 ) = 2 a + 1 (a+1)^2-(a^2)=2a+1

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