Integer between the primes p and p+2 is a perfect square. Explain why there exists an integer

Babenzgs

Babenzgs

Answered question

2022-01-29

Integer between the 's p and p+2 is a perfect square. Explain why there exists an integer n such that
4n21=p
a) Is the integer between p and p+2 odd or even?
b) Assume additionally that the integer between the 's p and p+2 is a perfect square.
c) By considering (2n1)(2n+1), find the only possible value of p.

Answer & Explanation

ocretz56

ocretz56

Beginner2022-01-30Added 16 answers

Step 1
a) If p=2 then
p+2=4 is not ,
Eliza Norris

Eliza Norris

Beginner2022-01-31Added 15 answers

Step 1
Given: A2+B2=C2 the most common means of generating Pythagorean triples is Euclids

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