What is the 5855th prime number?
The 5855th prime number is 57791. The next prime is 57793 (a gap of 2) and the one before is 57787.
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 5855th one is 57791.
- 2
57791 is prime because no prime up to ā57791 ā 240.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5855th prime is close to 5855 Ć ln(5855) ā 50792, and here it is 57791.
- 4
57791 is a twin prime: 57791 and 57793 are both prime.
Primes around the 5855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5852 | 57773 | 22 |
| 5853 | 57781 | 8 |
| 5854 | 57787 | 6 |
| 5855 | 57791 | 4 |
| 5856 | 57793 | 2 |
| 5857 | 57803 | 10 |
| 5858 | 57809 | 6 |
Questions
What is the 5855th prime number?
57791.
Which prime number is 57791?
57791 is the 5855th prime number.
What is the sum of the first 5855 primes?
159,954,432.