What is the 718th prime number?
The 718th prime number is 5437. The next prime is 5441 (a gap of 4) and the one before is 5431.
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 718th one is 5437.
- 2
5437 is prime because no prime up to ā5437 ā 73.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 718th prime is close to 718 Ć ln(718) ā 4722, and here it is 5437.
- 4
5437 has no twin: neither 5435 nor 5439 is prime.
Primes around the 718th
| Position | Prime | Gap from the previous |
|---|---|---|
| 715 | 5417 | 4 |
| 716 | 5419 | 2 |
| 717 | 5431 | 12 |
| 718 | 5437 | 6 |
| 719 | 5441 | 4 |
| 720 | 5443 | 2 |
| 721 | 5449 | 6 |
Questions
What is the 718th prime number?
5437.
Which prime number is 5437?
5437 is the 718th prime number.
What is the sum of the first 718 primes?
1,803,917.