What is the 5900th prime number?
The 5900th prime number is 58237. The next prime is 58243 (a gap of 6) and the one before is 58231.
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 5900th one is 58237.
- 2
58237 is prime because no prime up to ā58237 ā 241.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5900th prime is close to 5900 Ć ln(5900) ā 51228, and here it is 58237.
- 4
58237 has no twin: neither 58235 nor 58239 is prime.
Primes around the 5900th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5897 | 58217 | 6 |
| 5898 | 58229 | 12 |
| 5899 | 58231 | 2 |
| 5900 | 58237 | 6 |
| 5901 | 58243 | 6 |
| 5902 | 58271 | 28 |
| 5903 | 58309 | 38 |
Questions
What is the 5900th prime number?
58237.
Which prime number is 58237?
58237 is the 5900th prime number.
What is the sum of the first 5900 primes?
162,565,989.