What is the 2404th prime number?
The 2404th prime number is 21407. The next prime is 21419 (a gap of 12) and the one before is 21401.
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 2404th one is 21407.
- 2
21407 is prime because no prime up to ā21407 ā 146.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2404th prime is close to 2404 Ć ln(2404) ā 18715, and here it is 21407.
- 4
21407 has no twin: neither 21405 nor 21409 is prime.
Primes around the 2404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2401 | 21391 | 8 |
| 2402 | 21397 | 6 |
| 2403 | 21401 | 4 |
| 2404 | 21407 | 6 |
| 2405 | 21419 | 12 |
| 2406 | 21433 | 14 |
| 2407 | 21467 | 34 |
Questions
What is the 2404th prime number?
21407.
Which prime number is 21407?
21407 is the 2404th prime number.
What is the sum of the first 2404 primes?
24,111,611.