First Sentence:
The aim of the Elementary Theory of Numbers is to investigate the properties of integers.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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algebraic integral ring, reduced residue system, prime modulo, quadratic nonresidue, given congruence, incongruent solutions, complete residue system, indeterminate equation, power residue, positive integer solution, above congruence, primitive root, quadratic residue, following congruences, residue systems, twin primes, positive divisors, common divisor
Key Phrases - Capitalized Phrases (CAPs):
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Euler's Criterion, Jing-Run Chen
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