What is the 713th prime number?
The 713th prime number is 5407. The next prime is 5413 (a gap of 6) and the one before is 5399.
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 713th one is 5407.
- 2
5407 is prime because no prime up to ā5407 ā 73.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 713th prime is close to 713 Ć ln(713) ā 4684, and here it is 5407.
- 4
5407 has no twin: neither 5405 nor 5409 is prime.
Primes around the 713th
| Position | Prime | Gap from the previous |
|---|---|---|
| 710 | 5387 | 6 |
| 711 | 5393 | 6 |
| 712 | 5399 | 6 |
| 713 | 5407 | 8 |
| 714 | 5413 | 6 |
| 715 | 5417 | 4 |
| 716 | 5419 | 2 |
Questions
What is the 713th prime number?
5407.
Which prime number is 5407?
5407 is the 713th prime number.
What is the sum of the first 713 primes?
1,776,800.