(d) How many of the 100 numbers 213! + 2, 213! +3,..., 213! + 101 are composite?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(d) How many of the 100 numbers 213! +2,213! +3,..., 213! + 101 are composite?
(e) Find all solutions of the following Diophantine equation or prove that there are no integral
solutions: 45x - 215y = 24.
(e) Let p 3 mod 5 be a prime number. Solve the system of congruences
mod 5
x = 1
x = 512 mod p
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