Greedy Calvinosaurus Dinosaur

Number Theory Level 5

Greedy Calvinosaurus Dinosaur is threatening to gobble you up, unless you can tell him what is the largest possible value of \[ \gcd (122 + n^2, 122 + (n+1)^2 ) ,\] as \(n\) ranges over all positive integers.

Quick, to save your life, what is the answer?

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100 Day Summer Challenge

Greedy Calvinosaurus Dinosaur

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

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Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

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Courses

Topics

Community

100 Day Summer Challenge

Greedy Calvinosaurus Dinosaur

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.