What is the 6093rd prime number?
The 6093rd prime number is 60397. The next prime is 60413 (a gap of 16) and the one before is 60383.
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 6093rd one is 60397.
- 2
60397 is prime because no prime up to ā60397 ā 245.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6093rd prime is close to 6093 Ć ln(6093) ā 53100, and here it is 60397.
- 4
60397 has no twin: neither 60395 nor 60399 is prime.
Primes around the 6093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6090 | 60353 | 10 |
| 6091 | 60373 | 20 |
| 6092 | 60383 | 10 |
| 6093 | 60397 | 14 |
| 6094 | 60413 | 16 |
| 6095 | 60427 | 14 |
| 6096 | 60443 | 16 |
Questions
What is the 6093rd prime number?
60397.
Which prime number is 60397?
60397 is the 6093rd prime number.
What is the sum of the first 6093 primes?
174,015,674.