What is the 5853rd prime number?
The 5853rd prime number is 57781. The next prime is 57787 (a gap of 6) and the one before is 57773.
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 5853rd one is 57781.
- 2
57781 is prime because no prime up to ā57781 ā 240.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5853rd prime is close to 5853 Ć ln(5853) ā 50773, and here it is 57781.
- 4
57781 has no twin: neither 57779 nor 57783 is prime.
Primes around the 5853rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5850 | 57737 | 6 |
| 5851 | 57751 | 14 |
| 5852 | 57773 | 22 |
| 5853 | 57781 | 8 |
| 5854 | 57787 | 6 |
| 5855 | 57791 | 4 |
| 5856 | 57793 | 2 |
Questions
What is the 5853rd prime number?
57781.
Which prime number is 57781?
57781 is the 5853rd prime number.
What is the sum of the first 5853 primes?
159,838,854.