What is the 5801st prime number?
The 5801st prime number is 57193. The next prime is 57203 (a gap of 10) and the one before is 57191.
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 5801st one is 57193.
- 2
57193 is prime because no prime up to ā57193 ā 239.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5801st prime is close to 5801 Ć ln(5801) ā 50270, and here it is 57193.
- 4
57193 is a twin prime: 57191 and 57193 are both prime.
Primes around the 5801st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5798 | 57173 | 10 |
| 5799 | 57179 | 6 |
| 5800 | 57191 | 12 |
| 5801 | 57193 | 2 |
| 5802 | 57203 | 10 |
| 5803 | 57221 | 18 |
| 5804 | 57223 | 2 |
Questions
What is the 5801st prime number?
57193.
Which prime number is 57193?
57193 is the 5801st prime number.
What is the sum of the first 5801 primes?
156,849,056.