true or false  1.) If a │b then a │b^n for n ϵ N 2.) n^4 + 4 is composite for all n > 1 3.)If p is prime such that p │a and p │(a^2 + b^2), then p │b

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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true or false 
1.) If a │b then a │b^n for n ϵ N

2.) n^4 + 4 is composite for all n > 1
3.)If p is prime such that p │a and p │(a^2 + b^2), then p │b
4.)If a^2 │c^3, then a │c
5.)2^(3n) – 1 is divisible  by 7 for any counting number n
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