What is the 2395th prime number?
The 2395th prime number is 21323. The next prime is 21341 (a gap of 18) and the one before is 21319.
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 2395th one is 21323.
- 2
21323 is prime because no prime up to ā21323 ā 146.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2395th prime is close to 2395 Ć ln(2395) ā 18636, and here it is 21323.
- 4
21323 has no twin: neither 21321 nor 21325 is prime.
Primes around the 2395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2392 | 21313 | 30 |
| 2393 | 21317 | 4 |
| 2394 | 21319 | 2 |
| 2395 | 21323 | 4 |
| 2396 | 21341 | 18 |
| 2397 | 21347 | 6 |
| 2398 | 21377 | 30 |
Questions
What is the 2395th prime number?
21323.
Which prime number is 21323?
21323 is the 2395th prime number.
What is the sum of the first 2395 primes?
23,919,188.