ulus) 1) Solve the following congruences system. 5x +4 = 12 (Mod 7) 14x - 3 = 19 (Mod 5) 2) Prove that VnEN 12n+1.
ulus) 1) Solve the following congruences system. 5x +4 = 12 (Mod 7) 14x - 3 = 19 (Mod 5) 2) Prove that VnEN 12n+1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Do 1
Transcribed Image Text:ilus)
1) Solve the following congruences system.
5x + 4 = 12 (Mod 7)
14x – 3 = 19 (Mod 5)
12n+1
2) Prove that V n EN
is in lowest term, i.e., prove that
30n+1
gcd(12n + 1,30n + 1) = 1
3) VnEN, prove that 57|7"+2 + 82n+1
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