What is the 2706th prime number?
The 2706th prime number is 24373. The next prime is 24379 (a gap of 6) and the one before is 24371.
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 2706th one is 24373.
- 2
24373 is prime because no prime up to ā24373 ā 156.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2706th prime is close to 2706 Ć ln(2706) ā 21386, and here it is 24373.
- 4
24373 is a twin prime: 24371 and 24373 are both prime.
Primes around the 2706th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2703 | 24337 | 8 |
| 2704 | 24359 | 22 |
| 2705 | 24371 | 12 |
| 2706 | 24373 | 2 |
| 2707 | 24379 | 6 |
| 2708 | 24391 | 12 |
| 2709 | 24407 | 16 |
Questions
What is the 2706th prime number?
24373.
Which prime number is 24373?
24373 is the 2706th prime number.
What is the sum of the first 2706 primes?
31,022,859.