Question: This problem illustrates that if we are able to compute square roots (mod N), this can simplify factorization ofN. Suppose that we know (never mind

This problem illustrates that if we are able to compute square roots (mod N), this can simplify factorization ofN. Suppose that we know (never mind how) that

23^351882^2(mod61063); 23^55^31898^2(mod61063).

Findaandbsuch thata^2b^2(mod61063) then find a factor of 61063 by computinggcd(61063, ab) (why do we expect that it is not equal to 1?).

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