Find the number of integers $1\leq x\leq100$ such that $x^2$ has a remainder of $2$ when divided by $7$.
2026-03-28 03:33:22.1774668802
Squares from 1 to 10000 that have a remainder of 2 when divided by 7
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Hint:
The sequence of remainders is
$$1,4,2,2,4,1,0,1,4,2,2,4,1,0,\cdots$$
The pattern should be obvious.