What is the 6089th prime number?
The 6089th prime number is 60343. The next prime is 60353 (a gap of 10) and the one before is 60337.
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 6089th one is 60343.
- 2
60343 is prime because no prime up to ā60343 ā 245.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6089th prime is close to 6089 Ć ln(6089) ā 53061, and here it is 60343.
- 4
60343 has no twin: neither 60341 nor 60345 is prime.
Primes around the 6089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6086 | 60317 | 24 |
| 6087 | 60331 | 14 |
| 6088 | 60337 | 6 |
| 6089 | 60343 | 6 |
| 6090 | 60353 | 10 |
| 6091 | 60373 | 20 |
| 6092 | 60383 | 10 |
Questions
What is the 6089th prime number?
60343.
Which prime number is 60343?
60343 is the 6089th prime number.
What is the sum of the first 6089 primes?
173,774,168.