What is the 5893rd prime number?
The 5893rd prime number is 58193. The next prime is 58199 (a gap of 6) and the one before is 58189.
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 5893rd one is 58193.
- 2
58193 is prime because no prime up to ā58193 ā 241.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5893rd prime is close to 5893 Ć ln(5893) ā 51160, and here it is 58193.
- 4
58193 has no twin: neither 58191 nor 58195 is prime.
Primes around the 5893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5890 | 58169 | 16 |
| 5891 | 58171 | 2 |
| 5892 | 58189 | 18 |
| 5893 | 58193 | 4 |
| 5894 | 58199 | 6 |
| 5895 | 58207 | 8 |
| 5896 | 58211 | 4 |
Questions
What is the 5893rd prime number?
58193.
Which prime number is 58193?
58193 is the 5893rd prime number.
What is the sum of the first 5893 primes?
162,158,458.