What is the 25th prime number?
The 25th prime number is 97. The next prime is 101 (a gap of 4) and the one before is 89.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 25th one is 97.
- 2
97 is prime because no prime up to ā97 ā 9.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 25th prime is close to 25 Ć ln(25) ā 80, and here it is 97.
- 4
97 has no twin: neither 95 nor 99 is prime.
Primes around the 25th
| Position | Prime | Gap from the previous |
|---|---|---|
| 22 | 79 | 6 |
| 23 | 83 | 4 |
| 24 | 89 | 6 |
| 25 | 97 | 8 |
| 26 | 101 | 4 |
| 27 | 103 | 2 |
| 28 | 107 | 4 |
Questions
What is the 25th prime number?
97.
Which prime number is 97?
97 is the 25th prime number.
What is the sum of the first 25 primes?
1,060.