What is the 712th prime number?
The 712th prime number is 5399. The next prime is 5407 (a gap of 8) and the one before is 5393.
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 712th one is 5399.
- 2
5399 is prime because no prime up to ā5399 ā 73.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 712th prime is close to 712 Ć ln(712) ā 4676, and here it is 5399.
- 4
5399 has no twin: neither 5397 nor 5401 is prime.
Primes around the 712th
| Position | Prime | Gap from the previous |
|---|---|---|
| 709 | 5381 | 30 |
| 710 | 5387 | 6 |
| 711 | 5393 | 6 |
| 712 | 5399 | 6 |
| 713 | 5407 | 8 |
| 714 | 5413 | 6 |
| 715 | 5417 | 4 |
Questions
What is the 712th prime number?
5399.
Which prime number is 5399?
5399 is the 712th prime number.
What is the sum of the first 712 primes?
1,771,393.