What is the 6082nd prime number?
The 6082nd prime number is 60259. The next prime is 60271 (a gap of 12) and the one before is 60257.
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 6082nd one is 60259.
- 2
60259 is prime because no prime up to ā60259 ā 245.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6082nd prime is close to 6082 Ć ln(6082) ā 52993, and here it is 60259.
- 4
60259 is a twin prime: 60257 and 60259 are both prime.
Primes around the 6082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6079 | 60223 | 6 |
| 6080 | 60251 | 28 |
| 6081 | 60257 | 6 |
| 6082 | 60259 | 2 |
| 6083 | 60271 | 12 |
| 6084 | 60289 | 18 |
| 6085 | 60293 | 4 |
Questions
What is the 6082nd prime number?
60259.
Which prime number is 60259?
60259 is the 6082nd prime number.
What is the sum of the first 6082 primes?
173,351,987.