What is the 5857th prime number?
The 5857th prime number is 57803. The next prime is 57809 (a gap of 6) and the one before is 57793.
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 5857th one is 57803.
- 2
57803 is prime because no prime up to ā57803 ā 240.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5857th prime is close to 5857 Ć ln(5857) ā 50812, and here it is 57803.
- 4
57803 has no twin: neither 57801 nor 57805 is prime.
Primes around the 5857th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5854 | 57787 | 6 |
| 5855 | 57791 | 4 |
| 5856 | 57793 | 2 |
| 5857 | 57803 | 10 |
| 5858 | 57809 | 6 |
| 5859 | 57829 | 20 |
| 5860 | 57839 | 10 |
Questions
What is the 5857th prime number?
57803.
Which prime number is 57803?
57803 is the 5857th prime number.
What is the sum of the first 5857 primes?
160,070,028.