What is the 24th prime number?
The 24th prime number is 89. The next prime is 97 (a gap of 8) and the one before is 83.
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 24th one is 89.
- 2
89 is prime because no prime up to ā89 ā 9.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 24th prime is close to 24 Ć ln(24) ā 76, and here it is 89.
- 4
89 has no twin: neither 87 nor 91 is prime.
Primes around the 24th
| Position | Prime | Gap from the previous |
|---|---|---|
| 21 | 73 | 2 |
| 22 | 79 | 6 |
| 23 | 83 | 4 |
| 24 | 89 | 6 |
| 25 | 97 | 8 |
| 26 | 101 | 4 |
| 27 | 103 | 2 |
Questions
What is the 24th prime number?
89.
Which prime number is 89?
89 is the 24th prime number.
What is the sum of the first 24 primes?
963.