Question

.Prove that for all integers n > 4, if n is a perfect square, then n−1...

.Prove that for all integers n > 4, if n is a perfect square, then n−1 is not prime.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove that a positive integer n, n > 1, is a perfect square if and only...
Prove that a positive integer n, n > 1, is a perfect square if and only if when we write n = P1e1P2e2... Prer with each Pi prime and p1 < ... < pr, every exponent ei is even. (Hint: use the Fundamental Theorem of Arithmetic!)
Prove that n − 1 and 2n − 1 are relatively prime, for all integers n...
Prove that n − 1 and 2n − 1 are relatively prime, for all integers n > 1.
Let n be an integer. Prove that if n is a perfect square (see below for...
Let n be an integer. Prove that if n is a perfect square (see below for the definition) then n + 2 is not a perfect square. (Use contradiction) Definition : An integer n is a perfect square if there is an integer b such that a = b 2 . Example of perfect squares are : 1 = (1)2 , 4 = 22 , 9 = 32 , 16, · · Use Contradiction proof method
Exercise 1. Prove that floor[n/2]ceiling[n/2] = floor[n2/4], for all integers n.
Exercise 1. Prove that floor[n/2]ceiling[n/2] = floor[n2/4], for all integers n.
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove...
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove that n91 ≡ n7 (mod 91) for all integers n. Is n91 ≡ n (mod 91) for all integers n ?
Prove: For all positive integers n, the numbers 7n+ 5 and 7n+ 12 are relatively prime.
Prove: For all positive integers n, the numbers 7n+ 5 and 7n+ 12 are relatively prime.
Prove that when n is an integer, 4n + 3 is never the perfect square of...
Prove that when n is an integer, 4n + 3 is never the perfect square of an integer.
. Prove that, for all integers n ≥ 1, Pn i=1 i(i!) = (n + 1)!...
. Prove that, for all integers n ≥ 1, Pn i=1 i(i!) = (n + 1)! − 1
Statement: "For all integers n, if n2 is odd then n is odd" (1) prove the...
Statement: "For all integers n, if n2 is odd then n is odd" (1) prove the statement using Proof by Contradiction (2) prove the statement using Proof by Contraposition
Problem 1. Prove that for all positive integers n, we have 1 + 3 + ....
Problem 1. Prove that for all positive integers n, we have 1 + 3 + . . . + (2n − 1) = n ^2 .