What is the 2397th prime number?
The 2397th prime number is 21347. The next prime is 21377 (a gap of 30) and the one before is 21341.
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 2397th one is 21347.
- 2
21347 is prime because no prime up to ā21347 ā 146.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2397th prime is close to 2397 Ć ln(2397) ā 18653, and here it is 21347.
- 4
21347 has no twin: neither 21345 nor 21349 is prime.
Primes around the 2397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2394 | 21319 | 2 |
| 2395 | 21323 | 4 |
| 2396 | 21341 | 18 |
| 2397 | 21347 | 6 |
| 2398 | 21377 | 30 |
| 2399 | 21379 | 2 |
| 2400 | 21383 | 4 |
Questions
What is the 2397th prime number?
21347.
Which prime number is 21347?
21347 is the 2397th prime number.
What is the sum of the first 2397 primes?
23,961,876.