Last Updated
：2025/12/05
Euclid's lemma
Noun
uncountable
Japanese Meaning
(数論) 素数 p が整数 a と b の積 ab を割り切るならば、p は a または b、またはその両方を割り切るという命題。
Sense（1）
Sense（2）
Quizzes for review
(number theory) The proposition that if a prime number p divides an arbitrary product ab of integers, then p divides a or b or both;
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Euclid's lemma
During the seminar on prime factorization, Euclid's lemma helped us deduce that a prime dividing a product must divide at least one of the factors.
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During the seminar on prime factorization, Euclid's lemma helped us deduce that a prime dividing a product must divide at least one of the factors.
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