What is the 616th prime number?
The 616th prime number is 4547. The next prime is 4549 (a gap of 2) and the one before is 4523.
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 616th one is 4547.
- 2
4547 is prime because no prime up to ā4547 ā 67.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 616th prime is close to 616 Ć ln(616) ā 3957, and here it is 4547.
- 4
4547 is a twin prime: 4547 and 4549 are both prime.
Primes around the 616th
| Position | Prime | Gap from the previous |
|---|---|---|
| 613 | 4517 | 4 |
| 614 | 4519 | 2 |
| 615 | 4523 | 4 |
| 616 | 4547 | 24 |
| 617 | 4549 | 2 |
| 618 | 4561 | 12 |
| 619 | 4567 | 6 |
Questions
What is the 616th prime number?
4547.
Which prime number is 4547?
4547 is the 616th prime number.
What is the sum of the first 616 primes?
1,294,781.