Answered: (a) Determine if the following numbers…

Math

Advanced Math

(a) Determine if the following numbers are prime: 101! + 78, 88! + 55 (b) Is 299 + 1 divisible by 27? 5.

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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Question

5.
(a) Determine if the following numbers are prime:
101! + 78,
88! + 55
(b) Is 299 + 1 divisible by 27?

Expert Solution

Step 1

A prime number cannot be divided by any other number except 1 and itself. Now use this definition to prove the following.

Use the properties of modular functions to prove part (b).

Step by step

Solved in 2 steps

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