Prime Numbers Table
This page provides a structured prime numbers table for quick lookup, verification, and factor analysis. Prime numbers are integers greater than 1 that have exactly two distinct positive divisors: 1 and themselves.
Prime Numbers Reference Table
The table below lists prime numbers in ascending order across commonly used numeric ranges. It is designed for fast reference in mathematics, computer science, education, and problem-solving contexts where identifying or verifying prime values is required.
| 1–25 | 26–50 | 51–75 | 76–100 |
|---|---|---|---|
| 2 | 29 | 53 | 79 |
| 3 | 31 | 59 | 83 |
| 5 | 37 | 61 | 89 |
| 7 | 41 | 67 | 97 |
| 11 | 43 | 71 | |
| 13 | 47 | 73 | |
| 17 | |||
| 19 | |||
| 23 |
What Are Prime Numbers?
A prime number cannot be expressed as a product of two smaller natural numbers. The smallest prime is 2, which is also the only even prime. All other prime numbers are odd.
- 2 is the only even prime number
- 1 is not considered a prime number
- Every composite number can be factored into primes
Common Uses of Prime Numbers
Prime numbers play a foundational role in many mathematical and technical disciplines. This table is particularly useful for:
- Factorization and divisibility checks
- Number theory studies and coursework
- Algorithm design and testing
- Cryptography fundamentals and demonstrations
- Verification of composite vs. prime values
Notes on Table Ranges
Prime numbers become less frequent as values increase. For larger ranges, primes are typically generated using algorithms such as the Sieve of Eratosthenes. The ranges included here focus on commonly referenced values for study and practical use.