What is the 4863rd prime number?
The 4863rd prime number is 47137. The next prime is 47143 (a gap of 6) and the one before is 47129.
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 4863rd one is 47137.
- 2
47137 is prime because no prime up to ā47137 ā 217.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4863rd prime is close to 4863 Ć ln(4863) ā 41284, and here it is 47137.
- 4
47137 has no twin: neither 47135 nor 47139 is prime.
Primes around the 4863rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4860 | 47119 | 8 |
| 4861 | 47123 | 4 |
| 4862 | 47129 | 6 |
| 4863 | 47137 | 8 |
| 4864 | 47143 | 6 |
| 4865 | 47147 | 4 |
| 4866 | 47149 | 2 |
Questions
What is the 4863rd prime number?
47137.
Which prime number is 47137?
47137 is the 4863rd prime number.
What is the sum of the first 4863 primes?
107,896,742.