What is the 6096th prime number?
The 6096th prime number is 60443. The next prime is 60449 (a gap of 6) and the one before is 60427.
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 6096th one is 60443.
- 2
60443 is prime because no prime up to ā60443 ā 245.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6096th prime is close to 6096 Ć ln(6096) ā 53129, and here it is 60443.
- 4
60443 has no twin: neither 60441 nor 60445 is prime.
Primes around the 6096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6093 | 60397 | 14 |
| 6094 | 60413 | 16 |
| 6095 | 60427 | 14 |
| 6096 | 60443 | 16 |
| 6097 | 60449 | 6 |
| 6098 | 60457 | 8 |
| 6099 | 60493 | 36 |
Questions
What is the 6096th prime number?
60443.
Which prime number is 60443?
60443 is the 6096th prime number.
What is the sum of the first 6096 primes?
174,196,957.