What is the 6139th prime number?
The 6139th prime number is 60917. The next prime is 60919 (a gap of 2) and the one before is 60913.
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 6139th one is 60917.
- 2
60917 is prime because no prime up to ā60917 ā 246.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6139th prime is close to 6139 Ć ln(6139) ā 53547, and here it is 60917.
- 4
60917 is a twin prime: 60917 and 60919 are both prime.
Primes around the 6139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6136 | 60899 | 10 |
| 6137 | 60901 | 2 |
| 6138 | 60913 | 12 |
| 6139 | 60917 | 4 |
| 6140 | 60919 | 2 |
| 6141 | 60923 | 4 |
| 6142 | 60937 | 14 |
Questions
What is the 6139th prime number?
60917.
Which prime number is 60917?
60917 is the 6139th prime number.
What is the sum of the first 6139 primes?
176,806,860.