Perfect Square Progression

Number Theory Level 4

Find the number of strictly increasing arithmetic progressions of length three, with terms from \(1\) to \(1000\), that consist entirely of perfect squares.

Details and assumptions

The length of an arithmetic progression is the number of terms that it has.

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Perfect Square Progression

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100 Day Summer Challenge

Perfect Square Progression

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.