## First Steps in Number Theory: A Primer on Divisibility |

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alternating answer apply argument arithmetic base blocks calculate called chapter claim clearly common composite compute conclude congruence consider contains coprime cycle denote divided divisible by 13 divisor earlier equal equation exactly Example Example Let Exercise expressed fact Fermat's formula function given gives greater happen holds implies important indivisible instance integer n interesting irreducible known largest leads least leave less look mathematics means mod 9 modulo multiple namely Note number theory objects Observe obtain obvious pair polynomial positive integers possible Power(5 precisely prime factor prime number Problem proof proposition prove reader reads refer relation remainder respectively result rule sequence shown sides solution solve square starting statement Suppose symbol test for divisibility theorem true units digit values verify whereas write written yields