What is the 6138th prime number?
The 6138th prime number is 60913. The next prime is 60917 (a gap of 4) and the one before is 60901.
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 6138th one is 60913.
- 2
60913 is prime because no prime up to ā60913 ā 246.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6138th prime is close to 6138 Ć ln(6138) ā 53537, and here it is 60913.
- 4
60913 has no twin: neither 60911 nor 60915 is prime.
Primes around the 6138th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6135 | 60889 | 2 |
| 6136 | 60899 | 10 |
| 6137 | 60901 | 2 |
| 6138 | 60913 | 12 |
| 6139 | 60917 | 4 |
| 6140 | 60919 | 2 |
| 6141 | 60923 | 4 |
Questions
What is the 6138th prime number?
60913.
Which prime number is 60913?
60913 is the 6138th prime number.
What is the sum of the first 6138 primes?
176,745,943.