What is the 6095th prime number?
The 6095th prime number is 60427. The next prime is 60443 (a gap of 16) and the one before is 60413.
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 6095th one is 60427.
- 2
60427 is prime because no prime up to ā60427 ā 245.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6095th prime is close to 6095 Ć ln(6095) ā 53119, and here it is 60427.
- 4
60427 has no twin: neither 60425 nor 60429 is prime.
Primes around the 6095th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6092 | 60383 | 10 |
| 6093 | 60397 | 14 |
| 6094 | 60413 | 16 |
| 6095 | 60427 | 14 |
| 6096 | 60443 | 16 |
| 6097 | 60449 | 6 |
| 6098 | 60457 | 8 |
Questions
What is the 6095th prime number?
60427.
Which prime number is 60427?
60427 is the 6095th prime number.
What is the sum of the first 6095 primes?
174,136,514.