What is the 714th prime number?
The 714th prime number is 5413. The next prime is 5417 (a gap of 4) and the one before is 5407.
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 714th one is 5413.
- 2
5413 is prime because no prime up to ā5413 ā 73.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 714th prime is close to 714 Ć ln(714) ā 4692, and here it is 5413.
- 4
5413 has no twin: neither 5411 nor 5415 is prime.
Primes around the 714th
| Position | Prime | Gap from the previous |
|---|---|---|
| 711 | 5393 | 6 |
| 712 | 5399 | 6 |
| 713 | 5407 | 8 |
| 714 | 5413 | 6 |
| 715 | 5417 | 4 |
| 716 | 5419 | 2 |
| 717 | 5431 | 12 |
Questions
What is the 714th prime number?
5413.
Which prime number is 5413?
5413 is the 714th prime number.
What is the sum of the first 714 primes?
1,782,213.