What is the 6137th prime number?
The 6137th prime number is 60901. The next prime is 60913 (a gap of 12) and the one before is 60899.
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 6137th one is 60901.
- 2
60901 is prime because no prime up to ā60901 ā 246.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6137th prime is close to 6137 Ć ln(6137) ā 53527, and here it is 60901.
- 4
60901 is a twin prime: 60899 and 60901 are both prime.
Primes around the 6137th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6134 | 60887 | 18 |
| 6135 | 60889 | 2 |
| 6136 | 60899 | 10 |
| 6137 | 60901 | 2 |
| 6138 | 60913 | 12 |
| 6139 | 60917 | 4 |
| 6140 | 60919 | 2 |
Questions
What is the 6137th prime number?
60901.
Which prime number is 60901?
60901 is the 6137th prime number.
What is the sum of the first 6137 primes?
176,685,030.