What is the 5885th prime number?
The 5885th prime number is 58111. The next prime is 58129 (a gap of 18) and the one before is 58109.
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 5885th one is 58111.
- 2
58111 is prime because no prime up to ā58111 ā 241.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5885th prime is close to 5885 Ć ln(5885) ā 51083, and here it is 58111.
- 4
58111 is a twin prime: 58109 and 58111 are both prime.
Primes around the 5885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5882 | 58073 | 6 |
| 5883 | 58099 | 26 |
| 5884 | 58109 | 10 |
| 5885 | 58111 | 2 |
| 5886 | 58129 | 18 |
| 5887 | 58147 | 18 |
| 5888 | 58151 | 4 |
Questions
What is the 5885th prime number?
58111.
Which prime number is 58111?
58111 is the 5885th prime number.
What is the sum of the first 5885 primes?
161,693,156.