What is the most uncommon number between 1 and 100?

This has both a psychological and a mathematical answer.

Psychologically: When asked to pick a "random" number between 1 and 100, people avoid obvious choices like 1, 10, 50, and 100. Research shows 37 and 73 are the most commonly chosen "random" numbers. This means the truly uncommon choices are the ones people overlook as "too obvious": 1, 2, 99, 100.

Mathematically (most distinctive numbers near 100):

• 97 — the largest prime number below 100
• 89 — the largest two-digit prime that is also a Fibonacci number
• 91 — often mistaken for a prime but is actually 7 × 13 (mathematically tricky)

Paradox: If you think 37 is the most "uniquely random" number, then it's no longer uncommon everyone thinks the same thing.