What is the 6094th prime number?
The 6094th prime number is 60413. The next prime is 60427 (a gap of 14) and the one before is 60397.
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 6094th one is 60413.
- 2
60413 is prime because no prime up to ā60413 ā 245.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6094th prime is close to 6094 Ć ln(6094) ā 53110, and here it is 60413.
- 4
60413 has no twin: neither 60411 nor 60415 is prime.
Primes around the 6094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6091 | 60373 | 20 |
| 6092 | 60383 | 10 |
| 6093 | 60397 | 14 |
| 6094 | 60413 | 16 |
| 6095 | 60427 | 14 |
| 6096 | 60443 | 16 |
| 6097 | 60449 | 6 |
Questions
What is the 6094th prime number?
60413.
Which prime number is 60413?
60413 is the 6094th prime number.
What is the sum of the first 6094 primes?
174,076,087.