What is the 2381st prime number?
The 2381st prime number is 21179. The next prime is 21187 (a gap of 8) and the one before is 21169.
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 2381st one is 21179.
- 2
21179 is prime because no prime up to ā21179 ā 145.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2381st prime is close to 2381 Ć ln(2381) ā 18513, and here it is 21179.
- 4
21179 has no twin: neither 21177 nor 21181 is prime.
Primes around the 2381st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2378 | 21157 | 8 |
| 2379 | 21163 | 6 |
| 2380 | 21169 | 6 |
| 2381 | 21179 | 10 |
| 2382 | 21187 | 8 |
| 2383 | 21191 | 4 |
| 2384 | 21193 | 2 |
Questions
What is the 2381st prime number?
21179.
Which prime number is 21179?
21179 is the 2381st prime number.
What is the sum of the first 2381 primes?
23,621,610.