What is the 4847th prime number?
The 4847th prime number is 46919. The next prime is 46933 (a gap of 14) and the one before is 46901.
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 4847th one is 46919.
- 2
46919 is prime because no prime up to ā46919 ā 216.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4847th prime is close to 4847 Ć ln(4847) ā 41132, and here it is 46919.
- 4
46919 has no twin: neither 46917 nor 46921 is prime.
Primes around the 4847th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4844 | 46877 | 10 |
| 4845 | 46889 | 12 |
| 4846 | 46901 | 12 |
| 4847 | 46919 | 18 |
| 4848 | 46933 | 14 |
| 4849 | 46957 | 24 |
| 4850 | 46993 | 36 |
Questions
What is the 4847th prime number?
46919.
Which prime number is 46919?
46919 is the 4847th prime number.
What is the sum of the first 4847 primes?
107,143,838.