What is the 6113th prime number?
The 6113th prime number is 60647. The next prime is 60649 (a gap of 2) and the one before is 60637.
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 6113th one is 60647.
- 2
60647 is prime because no prime up to ā60647 ā 246.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6113th prime is close to 6113 Ć ln(6113) ā 53294, and here it is 60647.
- 4
60647 is a twin prime: 60647 and 60649 are both prime.
Primes around the 6113th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6110 | 60623 | 6 |
| 6111 | 60631 | 8 |
| 6112 | 60637 | 6 |
| 6113 | 60647 | 10 |
| 6114 | 60649 | 2 |
| 6115 | 60659 | 10 |
| 6116 | 60661 | 2 |
Questions
What is the 6113th prime number?
60647.
Which prime number is 60647?
60647 is the 6113th prime number.
What is the sum of the first 6113 primes?
175,226,512.