What is the 5891st prime number?
The 5891st prime number is 58171. The next prime is 58189 (a gap of 18) and the one before is 58169.
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 5891st one is 58171.
- 2
58171 is prime because no prime up to ā58171 ā 241.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5891st prime is close to 5891 Ć ln(5891) ā 51141, and here it is 58171.
- 4
58171 is a twin prime: 58169 and 58171 are both prime.
Primes around the 5891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5888 | 58151 | 4 |
| 5889 | 58153 | 2 |
| 5890 | 58169 | 16 |
| 5891 | 58171 | 2 |
| 5892 | 58189 | 18 |
| 5893 | 58193 | 4 |
| 5894 | 58199 | 6 |
Questions
What is the 5891st prime number?
58171.
Which prime number is 58171?
58171 is the 5891st prime number.
What is the sum of the first 5891 primes?
162,042,076.