What is the 5886th prime number?
The 5886th prime number is 58129. The next prime is 58147 (a gap of 18) and the one before is 58111.
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 5886th one is 58129.
- 2
58129 is prime because no prime up to ā58129 ā 241.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5886th prime is close to 5886 Ć ln(5886) ā 51092, and here it is 58129.
- 4
58129 has no twin: neither 58127 nor 58131 is prime.
Primes around the 5886th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5883 | 58099 | 26 |
| 5884 | 58109 | 10 |
| 5885 | 58111 | 2 |
| 5886 | 58129 | 18 |
| 5887 | 58147 | 18 |
| 5888 | 58151 | 4 |
| 5889 | 58153 | 2 |
Questions
What is the 5886th prime number?
58129.
Which prime number is 58129?
58129 is the 5886th prime number.
What is the sum of the first 5886 primes?
161,751,285.