What is the 716th prime number?
The 716th prime number is 5419. The next prime is 5431 (a gap of 12) and the one before is 5417.
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 716th one is 5419.
- 2
5419 is prime because no prime up to ā5419 ā 73.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 716th prime is close to 716 Ć ln(716) ā 4707, and here it is 5419.
- 4
5419 is a twin prime: 5417 and 5419 are both prime.
Primes around the 716th
| Position | Prime | Gap from the previous |
|---|---|---|
| 713 | 5407 | 8 |
| 714 | 5413 | 6 |
| 715 | 5417 | 4 |
| 716 | 5419 | 2 |
| 717 | 5431 | 12 |
| 718 | 5437 | 6 |
| 719 | 5441 | 4 |
Questions
What is the 716th prime number?
5419.
Which prime number is 5419?
5419 is the 716th prime number.
What is the sum of the first 716 primes?
1,793,049.