What is the 2396th prime number?
The 2396th prime number is 21341. The next prime is 21347 (a gap of 6) and the one before is 21323.
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 2396th one is 21341.
- 2
21341 is prime because no prime up to ā21341 ā 146.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2396th prime is close to 2396 Ć ln(2396) ā 18645, and here it is 21341.
- 4
21341 has no twin: neither 21339 nor 21343 is prime.
Primes around the 2396th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2393 | 21317 | 4 |
| 2394 | 21319 | 2 |
| 2395 | 21323 | 4 |
| 2396 | 21341 | 18 |
| 2397 | 21347 | 6 |
| 2398 | 21377 | 30 |
| 2399 | 21379 | 2 |
Questions
What is the 2396th prime number?
21341.
Which prime number is 21341?
21341 is the 2396th prime number.
What is the sum of the first 2396 primes?
23,940,529.