What is the 2391st prime number?
The 2391st prime number is 21283. The next prime is 21313 (a gap of 30) and the one before is 21277.
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 2391st one is 21283.
- 2
21283 is prime because no prime up to ā21283 ā 145.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2391st prime is close to 2391 Ć ln(2391) ā 18601, and here it is 21283.
- 4
21283 has no twin: neither 21281 nor 21285 is prime.
Primes around the 2391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2388 | 21247 | 20 |
| 2389 | 21269 | 22 |
| 2390 | 21277 | 8 |
| 2391 | 21283 | 6 |
| 2392 | 21313 | 30 |
| 2393 | 21317 | 4 |
| 2394 | 21319 | 2 |
Questions
What is the 2391st prime number?
21283.
Which prime number is 21283?
21283 is the 2391st prime number.
What is the sum of the first 2391 primes?
23,833,916.