What is the 719th prime number?
The 719th prime number is 5441. The next prime is 5443 (a gap of 2) and the one before is 5437.
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 719th one is 5441.
- 2
5441 is prime because no prime up to ā5441 ā 73.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 719th prime is close to 719 Ć ln(719) ā 4729, and here it is 5441.
- 4
5441 is a twin prime: 5441 and 5443 are both prime.
Primes around the 719th
| Position | Prime | Gap from the previous |
|---|---|---|
| 716 | 5419 | 2 |
| 717 | 5431 | 12 |
| 718 | 5437 | 6 |
| 719 | 5441 | 4 |
| 720 | 5443 | 2 |
| 721 | 5449 | 6 |
| 722 | 5471 | 22 |
Questions
What is the 719th prime number?
5441.
Which prime number is 5441?
5441 is the 719th prime number.
What is the sum of the first 719 primes?
1,809,358.