What is the 5884th prime number?
The 5884th prime number is 58109. The next prime is 58111 (a gap of 2) and the one before is 58099.
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 5884th one is 58109.
- 2
58109 is prime because no prime up to ā58109 ā 241.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5884th prime is close to 5884 Ć ln(5884) ā 51073, and here it is 58109.
- 4
58109 is a twin prime: 58109 and 58111 are both prime.
Primes around the 5884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5881 | 58067 | 6 |
| 5882 | 58073 | 6 |
| 5883 | 58099 | 26 |
| 5884 | 58109 | 10 |
| 5885 | 58111 | 2 |
| 5886 | 58129 | 18 |
| 5887 | 58147 | 18 |
Questions
What is the 5884th prime number?
58109.
Which prime number is 58109?
58109 is the 5884th prime number.
What is the sum of the first 5884 primes?
161,635,045.