What is the 614th prime number?
The 614th prime number is 4519. The next prime is 4523 (a gap of 4) and the one before is 4517.
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 614th one is 4519.
- 2
4519 is prime because no prime up to ā4519 ā 67.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 614th prime is close to 614 Ć ln(614) ā 3942, and here it is 4519.
- 4
4519 is a twin prime: 4517 and 4519 are both prime.
Primes around the 614th
| Position | Prime | Gap from the previous |
|---|---|---|
| 611 | 4507 | 14 |
| 612 | 4513 | 6 |
| 613 | 4517 | 4 |
| 614 | 4519 | 2 |
| 615 | 4523 | 4 |
| 616 | 4547 | 24 |
| 617 | 4549 | 2 |
Questions
What is the 614th prime number?
4519.
Which prime number is 4519?
4519 is the 614th prime number.
What is the sum of the first 614 primes?
1,285,711.