What is the 715th prime number?
The 715th prime number is 5417. The next prime is 5419 (a gap of 2) and the one before is 5413.
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 715th one is 5417.
- 2
5417 is prime because no prime up to ā5417 ā 73.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 715th prime is close to 715 Ć ln(715) ā 4699, and here it is 5417.
- 4
5417 is a twin prime: 5417 and 5419 are both prime.
Primes around the 715th
| Position | Prime | Gap from the previous |
|---|---|---|
| 712 | 5399 | 6 |
| 713 | 5407 | 8 |
| 714 | 5413 | 6 |
| 715 | 5417 | 4 |
| 716 | 5419 | 2 |
| 717 | 5431 | 12 |
| 718 | 5437 | 6 |
Questions
What is the 715th prime number?
5417.
Which prime number is 5417?
5417 is the 715th prime number.
What is the sum of the first 715 primes?
1,787,630.