$P$ is a prime number where $60 < P < 80$. $P$ is 2 less than a square number.
Find the value of $P$.
▶️ Answer/Explanation
Solution
Ans: 79
Find squares between 60+2 and 80+2: 8²=64, 9²=81.
P = square – 2 → 64-2=62, 81-2=79.
Check primes between 60-80: 79 is prime, 62 isn’t.
Question
Write down a prime number between 30 and 40.
▶️ Answer/Explanation
Solution
Ans: 31 or 37
Prime numbers between 30 and 40 are numbers divisible only by 1 and themselves. Checking each number: 31 (prime), 32 (not), 33 (not), 34 (not), 35 (not), 36 (not), 37 (prime), 38 (not), 39 (not).
