What is the 2380th prime number?
The 2380th prime number is 21169. The next prime is 21179 (a gap of 10) and the one before is 21163.
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 2380th one is 21169.
- 2
21169 is prime because no prime up to ā21169 ā 145.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2380th prime is close to 2380 Ć ln(2380) ā 18504, and here it is 21169.
- 4
21169 has no twin: neither 21167 nor 21171 is prime.
Primes around the 2380th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2377 | 21149 | 6 |
| 2378 | 21157 | 8 |
| 2379 | 21163 | 6 |
| 2380 | 21169 | 6 |
| 2381 | 21179 | 10 |
| 2382 | 21187 | 8 |
| 2383 | 21191 | 4 |
Questions
What is the 2380th prime number?
21169.
Which prime number is 21169?
21169 is the 2380th prime number.
What is the sum of the first 2380 primes?
23,600,431.