What is the 2705th prime number?
The 2705th prime number is 24371. The next prime is 24373 (a gap of 2) and the one before is 24359.
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 2705th one is 24371.
- 2
24371 is prime because no prime up to ā24371 ā 156.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2705th prime is close to 2705 Ć ln(2705) ā 21377, and here it is 24371.
- 4
24371 is a twin prime: 24371 and 24373 are both prime.
Primes around the 2705th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2702 | 24329 | 12 |
| 2703 | 24337 | 8 |
| 2704 | 24359 | 22 |
| 2705 | 24371 | 12 |
| 2706 | 24373 | 2 |
| 2707 | 24379 | 6 |
| 2708 | 24391 | 12 |
Questions
What is the 2705th prime number?
24371.
Which prime number is 24371?
24371 is the 2705th prime number.
What is the sum of the first 2705 primes?
30,998,486.