What is the 710th prime number?
The 710th prime number is 5387. The next prime is 5393 (a gap of 6) and the one before is 5381.
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 710th one is 5387.
- 2
5387 is prime because no prime up to ā5387 ā 73.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 710th prime is close to 710 Ć ln(710) ā 4661, and here it is 5387.
- 4
5387 has no twin: neither 5385 nor 5389 is prime.
Primes around the 710th
| Position | Prime | Gap from the previous |
|---|---|---|
| 707 | 5347 | 14 |
| 708 | 5351 | 4 |
| 709 | 5381 | 30 |
| 710 | 5387 | 6 |
| 711 | 5393 | 6 |
| 712 | 5399 | 6 |
| 713 | 5407 | 8 |
Questions
What is the 710th prime number?
5387.
Which prime number is 5387?
5387 is the 710th prime number.
What is the sum of the first 710 primes?
1,760,601.