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3. Exercise $1.2 #28. Let a and n be positive integers with a > 1. Prove that, if a" +1 is a prime mumber, then a is even and n is a power of 2.

3. Exercise $1.2 #28. Let a and n be positive integers with a > 1. Prove that, if a" +1 is a prime mumber, then a is even and n is a power of 2.

Advanced Engineering Mathematics
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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Page 1 of ?? 3. Exercise §1.2 #28. Let a and n be positive integers with a > 1. Prove that, if a" +1 is a prime number, then a is even and n is a power of 2. 4. Exercise $1.3 #35. Find four integers that are relatively prime (when taken together) but such that no two of the integers are relatively prime when taken separately. Page 2 of ?? 5. Exercise $1.3 #50. Prove that every integer greater than 6 can be expressed as the sum of two relatively prime integers greater than 1
Transcribed Image Text:Page 1 of ?? 3. Exercise §1.2 #28. Let a and n be positive integers with a > 1. Prove that, if a" +1 is a prime number, then a is even and n is a power of 2. 4. Exercise $1.3 #35. Find four integers that are relatively prime (when taken together) but such that no two of the integers are relatively prime when taken separately. Page 2 of ?? 5. Exercise $1.3 #50. Prove that every integer greater than 6 can be expressed as the sum of two relatively prime integers greater than 1
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