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SOME PRELIMINARY CONSIDERATIONS
UNIQUE PRIME FACTORIZATION
POLYNOMIAL FORMS AND DIVISIBILITY
16 other sections not shown
algebraic angle arithmetic casting out nines circle common divisor common factor completes the proof complex integers complex number contradicting denoted divided divisible by 9 equal equation x2 Euclidean algorithm Euler's theorem example Exercises expression factor in common Fermat prime Fermat's theorem Figure Find form 4/c formula Gaussian integers Gaussian prime given gruences Hence Hint hypothesis infinite number intersection left member linear congruences linear Diophantine equation mathematical induction mathematician method mod 9 modulo multiple natural numbers norm number theory obtained opposite parity pairs perfect number perfect square polynomial positive integers positive lattice points prime factors primitive solution problem Property proved Pythagorean triangle Pythagorean triple quadratic quotient radius rational integers rational numbers rational prime rational root real numbers regular polygon relatively prime result right member ruler and compasses satisfy Section segment Show shown sides Solve substituted three numbers trisected unique factorization values verified zero