What is the 6135th prime number?
The 6135th prime number is 60889. The next prime is 60899 (a gap of 10) and the one before is 60887.
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 6135th one is 60889.
- 2
60889 is prime because no prime up to ā60889 ā 246.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6135th prime is close to 6135 Ć ln(6135) ā 53508, and here it is 60889.
- 4
60889 is a twin prime: 60887 and 60889 are both prime.
Primes around the 6135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6132 | 60859 | 38 |
| 6133 | 60869 | 10 |
| 6134 | 60887 | 18 |
| 6135 | 60889 | 2 |
| 6136 | 60899 | 10 |
| 6137 | 60901 | 2 |
| 6138 | 60913 | 12 |
Questions
What is the 6135th prime number?
60889.
Which prime number is 60889?
60889 is the 6135th prime number.
What is the sum of the first 6135 primes?
176,563,230.