What is the 4861st prime number?
The 4861st prime number is 47123. The next prime is 47129 (a gap of 6) and the one before is 47119.
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 4861st one is 47123.
- 2
47123 is prime because no prime up to ā47123 ā 217.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4861st prime is close to 4861 Ć ln(4861) ā 41265, and here it is 47123.
- 4
47123 has no twin: neither 47121 nor 47125 is prime.
Primes around the 4861st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4858 | 47093 | 6 |
| 4859 | 47111 | 18 |
| 4860 | 47119 | 8 |
| 4861 | 47123 | 4 |
| 4862 | 47129 | 6 |
| 4863 | 47137 | 8 |
| 4864 | 47143 | 6 |
Questions
What is the 4861st prime number?
47123.
Which prime number is 47123?
47123 is the 4861st prime number.
What is the sum of the first 4861 primes?
107,802,476.