What is the 6133rd prime number?
The 6133rd prime number is 60869. The next prime is 60887 (a gap of 18) and the one before is 60859.
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 6133rd one is 60869.
- 2
60869 is prime because no prime up to ā60869 ā 246.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6133rd prime is close to 6133 Ć ln(6133) ā 53489, and here it is 60869.
- 4
60869 has no twin: neither 60867 nor 60871 is prime.
Primes around the 6133rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6130 | 60811 | 18 |
| 6131 | 60821 | 10 |
| 6132 | 60859 | 38 |
| 6133 | 60869 | 10 |
| 6134 | 60887 | 18 |
| 6135 | 60889 | 2 |
| 6136 | 60899 | 10 |
Questions
What is the 6133rd prime number?
60869.
Which prime number is 60869?
60869 is the 6133rd prime number.
What is the sum of the first 6133 primes?
176,441,454.