What is the 2379th prime number?
The 2379th prime number is 21163. The next prime is 21169 (a gap of 6) and the one before is 21157.
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 2379th one is 21163.
- 2
21163 is prime because no prime up to ā21163 ā 145.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2379th prime is close to 2379 Ć ln(2379) ā 18495, and here it is 21163.
- 4
21163 has no twin: neither 21161 nor 21165 is prime.
Primes around the 2379th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2376 | 21143 | 4 |
| 2377 | 21149 | 6 |
| 2378 | 21157 | 8 |
| 2379 | 21163 | 6 |
| 2380 | 21169 | 6 |
| 2381 | 21179 | 10 |
| 2382 | 21187 | 8 |
Questions
What is the 2379th prime number?
21163.
Which prime number is 21163?
21163 is the 2379th prime number.
What is the sum of the first 2379 primes?
23,579,262.