What is the 2704th prime number?
The 2704th prime number is 24359. The next prime is 24371 (a gap of 12) and the one before is 24337.
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 2704th one is 24359.
- 2
24359 is prime because no prime up to ā24359 ā 156.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2704th prime is close to 2704 Ć ln(2704) ā 21368, and here it is 24359.
- 4
24359 has no twin: neither 24357 nor 24361 is prime.
Primes around the 2704th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2701 | 24317 | 36 |
| 2702 | 24329 | 12 |
| 2703 | 24337 | 8 |
| 2704 | 24359 | 22 |
| 2705 | 24371 | 12 |
| 2706 | 24373 | 2 |
| 2707 | 24379 | 6 |
Questions
What is the 2704th prime number?
24359.
Which prime number is 24359?
24359 is the 2704th prime number.
What is the sum of the first 2704 primes?
30,974,115.