What is the 4848th prime number?
The 4848th prime number is 46933. The next prime is 46957 (a gap of 24) and the one before is 46919.
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 4848th one is 46933.
- 2
46933 is prime because no prime up to ā46933 ā 216.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4848th prime is close to 4848 Ć ln(4848) ā 41142, and here it is 46933.
- 4
46933 has no twin: neither 46931 nor 46935 is prime.
Primes around the 4848th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4845 | 46889 | 12 |
| 4846 | 46901 | 12 |
| 4847 | 46919 | 18 |
| 4848 | 46933 | 14 |
| 4849 | 46957 | 24 |
| 4850 | 46993 | 36 |
| 4851 | 46997 | 4 |
Questions
What is the 4848th prime number?
46933.
Which prime number is 46933?
46933 is the 4848th prime number.
What is the sum of the first 4848 primes?
107,190,771.