What is the 2707th prime number?
The 2707th prime number is 24379. The next prime is 24391 (a gap of 12) and the one before is 24373.
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 2707th one is 24379.
- 2
24379 is prime because no prime up to ā24379 ā 156.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2707th prime is close to 2707 Ć ln(2707) ā 21395, and here it is 24379.
- 4
24379 has no twin: neither 24377 nor 24381 is prime.
Primes around the 2707th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2704 | 24359 | 22 |
| 2705 | 24371 | 12 |
| 2706 | 24373 | 2 |
| 2707 | 24379 | 6 |
| 2708 | 24391 | 12 |
| 2709 | 24407 | 16 |
| 2710 | 24413 | 6 |
Questions
What is the 2707th prime number?
24379.
Which prime number is 24379?
24379 is the 2707th prime number.
What is the sum of the first 2707 primes?
31,047,238.