What is the 4855th prime number?
The 4855th prime number is 47057. The next prime is 47059 (a gap of 2) and the one before is 47051.
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 4855th one is 47057.
- 2
47057 is prime because no prime up to ā47057 ā 216.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4855th prime is close to 4855 Ć ln(4855) ā 41208, and here it is 47057.
- 4
47057 is a twin prime: 47057 and 47059 are both prime.
Primes around the 4855th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4852 | 47017 | 20 |
| 4853 | 47041 | 24 |
| 4854 | 47051 | 10 |
| 4855 | 47057 | 6 |
| 4856 | 47059 | 2 |
| 4857 | 47087 | 28 |
| 4858 | 47093 | 6 |
Questions
What is the 4855th prime number?
47057.
Which prime number is 47057?
47057 is the 4855th prime number.
What is the sum of the first 4855 primes?
107,519,884.