What is the 6084th prime number?
The 6084th prime number is 60289. The next prime is 60293 (a gap of 4) and the one before is 60271.
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 6084th one is 60289.
- 2
60289 is prime because no prime up to ā60289 ā 245.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6084th prime is close to 6084 Ć ln(6084) ā 53012, and here it is 60289.
- 4
60289 has no twin: neither 60287 nor 60291 is prime.
Primes around the 6084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6081 | 60257 | 6 |
| 6082 | 60259 | 2 |
| 6083 | 60271 | 12 |
| 6084 | 60289 | 18 |
| 6085 | 60293 | 4 |
| 6086 | 60317 | 24 |
| 6087 | 60331 | 14 |
Questions
What is the 6084th prime number?
60289.
Which prime number is 60289?
60289 is the 6084th prime number.
What is the sum of the first 6084 primes?
173,472,547.