4. In 1647, Mersenne noted that when a number can be written as a sum of two relativ prime squares in two distinct ways, it is composite and can be factored as follows n = a² + b² = c² + d², then (ас + bd)(ac -bd) n = (a+d)(a – d) - Use this result to factor the numbers 493 = 182 + 132 = 22² + 3² and 38025 = 1682 + 992 = 156² + 1172 %3D %3D 5 JEmplou th
4. In 1647, Mersenne noted that when a number can be written as a sum of two relativ prime squares in two distinct ways, it is composite and can be factored as follows n = a² + b² = c² + d², then (ас + bd)(ac -bd) n = (a+d)(a – d) - Use this result to factor the numbers 493 = 182 + 132 = 22² + 3² and 38025 = 1682 + 992 = 156² + 1172 %3D %3D 5 JEmplou th
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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