What is the 6090th prime number?
The 6090th prime number is 60353. The next prime is 60373 (a gap of 20) and the one before is 60343.
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 6090th one is 60353.
- 2
60353 is prime because no prime up to ā60353 ā 245.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6090th prime is close to 6090 Ć ln(6090) ā 53071, and here it is 60353.
- 4
60353 has no twin: neither 60351 nor 60355 is prime.
Primes around the 6090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6087 | 60331 | 14 |
| 6088 | 60337 | 6 |
| 6089 | 60343 | 6 |
| 6090 | 60353 | 10 |
| 6091 | 60373 | 20 |
| 6092 | 60383 | 10 |
| 6093 | 60397 | 14 |
Questions
What is the 6090th prime number?
60353.
Which prime number is 60353?
60353 is the 6090th prime number.
What is the sum of the first 6090 primes?
173,834,521.