What is the 4860th prime number?
The 4860th prime number is 47119. The next prime is 47123 (a gap of 4) and the one before is 47111.
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 4860th one is 47119.
- 2
47119 is prime because no prime up to ā47119 ā 217.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4860th prime is close to 4860 Ć ln(4860) ā 41256, and here it is 47119.
- 4
47119 has no twin: neither 47117 nor 47121 is prime.
Primes around the 4860th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4857 | 47087 | 28 |
| 4858 | 47093 | 6 |
| 4859 | 47111 | 18 |
| 4860 | 47119 | 8 |
| 4861 | 47123 | 4 |
| 4862 | 47129 | 6 |
| 4863 | 47137 | 8 |
Questions
What is the 4860th prime number?
47119.
Which prime number is 47119?
47119 is the 4860th prime number.
What is the sum of the first 4860 primes?
107,755,353.