Question 98 – 1.4 A: Proof - AQA A Level Maths Questions

In a specific cryptographic protocol, a validation factor $V$ is calculated for prime numbers $p$ using the formula

V(p) = p^2 - 1

Prove that for every prime number $p$ in the range $10 < p < 20$ , the validation factor $V (p)$ is a multiple of 24.

A software engineer claims that for any non-negative integer $n$ , the processing time $T(n) = n^2 + 3n + 5$ microseconds is never a multiple of 2. Use proof by contradiction to show that this claim is correct.

In a specific cryptographic protocol, a validation factor $V$ is calculated for prime numbers $p$ using the formula

V(p) = p^2 - 1

Prove that for every prime number $p$ in the range $10 < p < 20$ , the validation factor $V (p)$ is a multiple of 24.

1.4 A: Proof

Question 83

1.4 A: Proof

Question 83

1.4 A: Proof

Question 83

1.4 A: Proof Questions

1.4 A: Proof

Question 83

1.4 A: Proof Questions