Problems need HardWork #18

Number Theory Level 4

If the greatest common divisor of m 2 + 11 m^2 + 11 and ( m + 1 ) 2 + 11 (m + 1)^2 +11 is k k , find the maximum value of k k .


The answer is 45.

Dev Sharma by Dev Sharma , 20, India

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1 solution

Dev Sharma
Aug 28, 2015

in general HCF of m² + a and (m + 1)² + a is 4a+1

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You need to prove that it's true.

Pi Han Goh - 5 years, 9 months ago

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using basics of hcf

Dev Sharma - 5 years, 9 months ago

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