What is the 709th prime number?
The 709th prime number is 5381. The next prime is 5387 (a gap of 6) and the one before is 5351.
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 709th one is 5381.
- 2
5381 is prime because no prime up to ā5381 ā 73.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 709th prime is close to 709 Ć ln(709) ā 4654, and here it is 5381.
- 4
5381 has no twin: neither 5379 nor 5383 is prime.
Primes around the 709th
| Position | Prime | Gap from the previous |
|---|---|---|
| 706 | 5333 | 10 |
| 707 | 5347 | 14 |
| 708 | 5351 | 4 |
| 709 | 5381 | 30 |
| 710 | 5387 | 6 |
| 711 | 5393 | 6 |
| 712 | 5399 | 6 |
Questions
What is the 709th prime number?
5381.
Which prime number is 5381?
5381 is the 709th prime number.
What is the sum of the first 709 primes?
1,755,214.