What is the 2398th prime number?
The 2398th prime number is 21377. The next prime is 21379 (a gap of 2) and the one before is 21347.
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 2398th one is 21377.
- 2
21377 is prime because no prime up to ā21377 ā 146.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2398th prime is close to 2398 Ć ln(2398) ā 18662, and here it is 21377.
- 4
21377 is a twin prime: 21377 and 21379 are both prime.
Primes around the 2398th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2395 | 21323 | 4 |
| 2396 | 21341 | 18 |
| 2397 | 21347 | 6 |
| 2398 | 21377 | 30 |
| 2399 | 21379 | 2 |
| 2400 | 21383 | 4 |
| 2401 | 21391 | 8 |
Questions
What is the 2398th prime number?
21377.
Which prime number is 21377?
21377 is the 2398th prime number.
What is the sum of the first 2398 primes?
23,983,253.