What is the 5883rd prime number?
The 5883rd prime number is 58099. The next prime is 58109 (a gap of 10) and the one before is 58073.
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 5883rd one is 58099.
- 2
58099 is prime because no prime up to ā58099 ā 241.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5883rd prime is close to 5883 Ć ln(5883) ā 51063, and here it is 58099.
- 4
58099 has no twin: neither 58097 nor 58101 is prime.
Primes around the 5883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5880 | 58061 | 4 |
| 5881 | 58067 | 6 |
| 5882 | 58073 | 6 |
| 5883 | 58099 | 26 |
| 5884 | 58109 | 10 |
| 5885 | 58111 | 2 |
| 5886 | 58129 | 18 |
Questions
What is the 5883rd prime number?
58099.
Which prime number is 58099?
58099 is the 5883rd prime number.
What is the sum of the first 5883 primes?
161,576,936.