What is the 717th prime number?
The 717th prime number is 5431. The next prime is 5437 (a gap of 6) and the one before is 5419.
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 717th one is 5431.
- 2
5431 is prime because no prime up to ā5431 ā 73.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 717th prime is close to 717 Ć ln(717) ā 4714, and here it is 5431.
- 4
5431 has no twin: neither 5429 nor 5433 is prime.
Primes around the 717th
| Position | Prime | Gap from the previous |
|---|---|---|
| 714 | 5413 | 6 |
| 715 | 5417 | 4 |
| 716 | 5419 | 2 |
| 717 | 5431 | 12 |
| 718 | 5437 | 6 |
| 719 | 5441 | 4 |
| 720 | 5443 | 2 |
Questions
What is the 717th prime number?
5431.
Which prime number is 5431?
5431 is the 717th prime number.
What is the sum of the first 717 primes?
1,798,480.