What is the 5892nd prime number?
The 5892nd prime number is 58189. The next prime is 58193 (a gap of 4) and the one before is 58171.
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 5892nd one is 58189.
- 2
58189 is prime because no prime up to ā58189 ā 241.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5892nd prime is close to 5892 Ć ln(5892) ā 51151, and here it is 58189.
- 4
58189 has no twin: neither 58187 nor 58191 is prime.
Primes around the 5892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5889 | 58153 | 2 |
| 5890 | 58169 | 16 |
| 5891 | 58171 | 2 |
| 5892 | 58189 | 18 |
| 5893 | 58193 | 4 |
| 5894 | 58199 | 6 |
| 5895 | 58207 | 8 |
Questions
What is the 5892nd prime number?
58189.
Which prime number is 58189?
58189 is the 5892nd prime number.
What is the sum of the first 5892 primes?
162,100,265.