What is the 711th prime number?
The 711th prime number is 5393. The next prime is 5399 (a gap of 6) and the one before is 5387.
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 711th one is 5393.
- 2
5393 is prime because no prime up to ā5393 ā 73.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 711th prime is close to 711 Ć ln(711) ā 4669, and here it is 5393.
- 4
5393 has no twin: neither 5391 nor 5395 is prime.
Primes around the 711th
| Position | Prime | Gap from the previous |
|---|---|---|
| 708 | 5351 | 4 |
| 709 | 5381 | 30 |
| 710 | 5387 | 6 |
| 711 | 5393 | 6 |
| 712 | 5399 | 6 |
| 713 | 5407 | 8 |
| 714 | 5413 | 6 |
Questions
What is the 711th prime number?
5393.
Which prime number is 5393?
5393 is the 711th prime number.
What is the sum of the first 711 primes?
1,765,994.