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Suppose is an integer satisfying the linear congruence Enter the least residue of a modulo 11210. Type your answer... (22²10 -7)x+ 5,050 = 4x+738 (mod 112¹0).

Suppose is an integer satisfying the linear congruence Enter the least residue of a modulo 11210. Type your answer... (22²10 -7)x+ 5,050 = 4x+738 (mod 112¹0).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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Need help with these two Difficult Intro to Elementary Number Theory Homework problems.

 

 

Suppose x is an integer satisfying the linear congruence Enter the least residue of a modulo 11210 Type your answer... (222107)x+ 5,050 = 4x + 738 (mod 11210).
Transcribed Image Text:Suppose x is an integer satisfying the linear congruence Enter the least residue of a modulo 11210 Type your answer... (222107)x+ 5,050 = 4x + 738 (mod 11210).
Find the smallest positive integer N with prime factorization N = 2⁰.3⁰.5c7d. 11⁰.13f, where a, b, c, d, e, fare nonnegative integers, such that half of N is a square, a third of N is a cube, and of N is a(n) 13th power. Enter the number a +b+c+d+ e + f below. Type your answer...
Transcribed Image Text:Find the smallest positive integer N with prime factorization N = 2⁰.3⁰.5c7d. 11⁰.13f, where a, b, c, d, e, fare nonnegative integers, such that half of N is a square, a third of N is a cube, and of N is a(n) 13th power. Enter the number a +b+c+d+ e + f below. Type your answer...
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