What is the 4849th prime number?
The 4849th prime number is 46957. The next prime is 46993 (a gap of 36) and the one before is 46933.
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 4849th one is 46957.
- 2
46957 is prime because no prime up to ā46957 ā 216.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4849th prime is close to 4849 Ć ln(4849) ā 41151, and here it is 46957.
- 4
46957 has no twin: neither 46955 nor 46959 is prime.
Primes around the 4849th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4846 | 46901 | 12 |
| 4847 | 46919 | 18 |
| 4848 | 46933 | 14 |
| 4849 | 46957 | 24 |
| 4850 | 46993 | 36 |
| 4851 | 46997 | 4 |
| 4852 | 47017 | 20 |
Questions
What is the 4849th prime number?
46957.
Which prime number is 46957?
46957 is the 4849th prime number.
What is the sum of the first 4849 primes?
107,237,728.