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√2-√110

Here are the series of successively better rational approximations of the first 100 non-squares.
Carréphobic numbers are given in red.

23567810111213141517181920212223242627282930
31323334353738394041424344454647485051525354555657
58596061626365666768697071727374757677787980828384
858687888990919293949596979899101102103104105106107108109110

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