What is the 4859th prime number?
The 4859th prime number is 47111. The next prime is 47119 (a gap of 8) and the one before is 47093.
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 4859th one is 47111.
- 2
47111 is prime because no prime up to ā47111 ā 217.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4859th prime is close to 4859 Ć ln(4859) ā 41246, and here it is 47111.
- 4
47111 has no twin: neither 47109 nor 47113 is prime.
Primes around the 4859th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4856 | 47059 | 2 |
| 4857 | 47087 | 28 |
| 4858 | 47093 | 6 |
| 4859 | 47111 | 18 |
| 4860 | 47119 | 8 |
| 4861 | 47123 | 4 |
| 4862 | 47129 | 6 |
Questions
What is the 4859th prime number?
47111.
Which prime number is 47111?
47111 is the 4859th prime number.
What is the sum of the first 4859 primes?
107,708,234.