What is the 6081st prime number?
The 6081st prime number is 60257. The next prime is 60259 (a gap of 2) and the one before is 60251.
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 6081st one is 60257.
- 2
60257 is prime because no prime up to ā60257 ā 245.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6081st prime is close to 6081 Ć ln(6081) ā 52983, and here it is 60257.
- 4
60257 is a twin prime: 60257 and 60259 are both prime.
Primes around the 6081st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6078 | 60217 | 8 |
| 6079 | 60223 | 6 |
| 6080 | 60251 | 28 |
| 6081 | 60257 | 6 |
| 6082 | 60259 | 2 |
| 6083 | 60271 | 12 |
| 6084 | 60289 | 18 |
Questions
What is the 6081st prime number?
60257.
Which prime number is 60257?
60257 is the 6081st prime number.
What is the sum of the first 6081 primes?
173,291,728.