Square Addible

Number Theory Level 5

Let an integer $n$ be square addible by integer $k$ if there exists an integer $x$ such that

$k\mid n+2014x^2$

Find the number of positive integers $n$ less than or equal to $2014$ that are square addible by 7 and square addible by 11, but not square addible by 13.

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, interactive explorations.

Used and loved by over 7 million people

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