What is the 4858th prime number?
The 4858th prime number is 47093. The next prime is 47111 (a gap of 18) and the one before is 47087.
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 4858th one is 47093.
- 2
47093 is prime because no prime up to ā47093 ā 217.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4858th prime is close to 4858 Ć ln(4858) ā 41237, and here it is 47093.
- 4
47093 has no twin: neither 47091 nor 47095 is prime.
Primes around the 4858th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4855 | 47057 | 6 |
| 4856 | 47059 | 2 |
| 4857 | 47087 | 28 |
| 4858 | 47093 | 6 |
| 4859 | 47111 | 18 |
| 4860 | 47119 | 8 |
| 4861 | 47123 | 4 |
Questions
What is the 4858th prime number?
47093.
Which prime number is 47093?
47093 is the 4858th prime number.
What is the sum of the first 4858 primes?
107,661,123.