What is the 2408th prime number?
The 2408th prime number is 21481. The next prime is 21487 (a gap of 6) and the one before is 21467.
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 2408th one is 21481.
- 2
21481 is prime because no prime up to ā21481 ā 146.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2408th prime is close to 2408 Ć ln(2408) ā 18750, and here it is 21481.
- 4
21481 has no twin: neither 21479 nor 21483 is prime.
Primes around the 2408th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2405 | 21419 | 12 |
| 2406 | 21433 | 14 |
| 2407 | 21467 | 34 |
| 2408 | 21481 | 14 |
| 2409 | 21487 | 6 |
| 2410 | 21491 | 4 |
| 2411 | 21493 | 2 |
Questions
What is the 2408th prime number?
21481.
Which prime number is 21481?
21481 is the 2408th prime number.
What is the sum of the first 2408 primes?
24,197,411.