What is the 5901st prime number?
The 5901st prime number is 58243. The next prime is 58271 (a gap of 28) and the one before is 58237.
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 5901st one is 58243.
- 2
58243 is prime because no prime up to ā58243 ā 241.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5901st prime is close to 5901 Ć ln(5901) ā 51238, and here it is 58243.
- 4
58243 has no twin: neither 58241 nor 58245 is prime.
Primes around the 5901st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5898 | 58229 | 12 |
| 5899 | 58231 | 2 |
| 5900 | 58237 | 6 |
| 5901 | 58243 | 6 |
| 5902 | 58271 | 28 |
| 5903 | 58309 | 38 |
| 5904 | 58313 | 4 |
Questions
What is the 5901st prime number?
58243.
Which prime number is 58243?
58243 is the 5901st prime number.
What is the sum of the first 5901 primes?
162,624,232.