What is the 6117th prime number?
The 6117th prime number is 60679. The next prime is 60689 (a gap of 10) and the one before is 60661.
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 6117th one is 60679.
- 2
60679 is prime because no prime up to ā60679 ā 246.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6117th prime is close to 6117 Ć ln(6117) ā 53333, and here it is 60679.
- 4
60679 has no twin: neither 60677 nor 60681 is prime.
Primes around the 6117th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6114 | 60649 | 2 |
| 6115 | 60659 | 10 |
| 6116 | 60661 | 2 |
| 6117 | 60679 | 18 |
| 6118 | 60689 | 10 |
| 6119 | 60703 | 14 |
| 6120 | 60719 | 16 |
Questions
What is the 6117th prime number?
60679.
Which prime number is 60679?
60679 is the 6117th prime number.
What is the sum of the first 6117 primes?
175,469,160.