What is the 2393rd prime number?
The 2393rd prime number is 21317. The next prime is 21319 (a gap of 2) and the one before is 21313.
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 2393rd one is 21317.
- 2
21317 is prime because no prime up to ā21317 ā 146.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2393rd prime is close to 2393 Ć ln(2393) ā 18618, and here it is 21317.
- 4
21317 is a twin prime: 21317 and 21319 are both prime.
Primes around the 2393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2390 | 21277 | 8 |
| 2391 | 21283 | 6 |
| 2392 | 21313 | 30 |
| 2393 | 21317 | 4 |
| 2394 | 21319 | 2 |
| 2395 | 21323 | 4 |
| 2396 | 21341 | 18 |
Questions
What is the 2393rd prime number?
21317.
Which prime number is 21317?
21317 is the 2393rd prime number.
What is the sum of the first 2393 primes?
23,876,546.