What is the 2709th prime number?
The 2709th prime number is 24407. The next prime is 24413 (a gap of 6) and the one before is 24391.
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 2709th one is 24407.
- 2
24407 is prime because no prime up to ā24407 ā 156.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2709th prime is close to 2709 Ć ln(2709) ā 21413, and here it is 24407.
- 4
24407 has no twin: neither 24405 nor 24409 is prime.
Primes around the 2709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2706 | 24373 | 2 |
| 2707 | 24379 | 6 |
| 2708 | 24391 | 12 |
| 2709 | 24407 | 16 |
| 2710 | 24413 | 6 |
| 2711 | 24419 | 6 |
| 2712 | 24421 | 2 |
Questions
What is the 2709th prime number?
24407.
Which prime number is 24407?
24407 is the 2709th prime number.
What is the sum of the first 2709 primes?
31,096,036.