What is the 4862nd prime number?
The 4862nd prime number is 47129. The next prime is 47137 (a gap of 8) and the one before is 47123.
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 4862nd one is 47129.
- 2
47129 is prime because no prime up to ā47129 ā 217.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4862nd prime is close to 4862 Ć ln(4862) ā 41275, and here it is 47129.
- 4
47129 has no twin: neither 47127 nor 47131 is prime.
Primes around the 4862nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4859 | 47111 | 18 |
| 4860 | 47119 | 8 |
| 4861 | 47123 | 4 |
| 4862 | 47129 | 6 |
| 4863 | 47137 | 8 |
| 4864 | 47143 | 6 |
| 4865 | 47147 | 4 |
Questions
What is the 4862nd prime number?
47129.
Which prime number is 47129?
47129 is the 4862nd prime number.
What is the sum of the first 4862 primes?
107,849,605.