What is the 23rd prime number?
The 23rd prime number is 83. The next prime is 89 (a gap of 6) and the one before is 79.
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 23rd one is 83.
- 2
83 is prime because no prime up to ā83 ā 9.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 23rd prime is close to 23 Ć ln(23) ā 72, and here it is 83.
- 4
83 has no twin: neither 81 nor 85 is prime.
Primes around the 23rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 20 | 71 | 4 |
| 21 | 73 | 2 |
| 22 | 79 | 6 |
| 23 | 83 | 4 |
| 24 | 89 | 6 |
| 25 | 97 | 8 |
| 26 | 101 | 4 |
Questions
What is the 23rd prime number?
83.
Which prime number is 83?
83 is the 23rd prime number.
What is the sum of the first 23 primes?
874.