Prove that there exists an odd integer m such that every odd integer n with n greater than or equal to m can be expressed as either 3a + 11b or as 5c + 7d for nonnegative integers a, b, c, and d.
Prove that there exists an odd integer m such that every odd integer n with n greater than or equal to m can be expressed as either 3a + 11b or as 5c + 7d for nonnegative integers a, b, c, and d.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 10E: Let be a nonzero integer and a positive integer. Prove or disprove that .
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Prove that there exists an odd integer m such that every odd integer n with n greater than or equal to m can be expressed as either 3a + 11b or as 5c + 7d for nonnegative integers a, b, c, and d.
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