What is the 4850th prime number?
The 4850th prime number is 46993. The next prime is 46997 (a gap of 4) and the one before is 46957.
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 4850th one is 46993.
- 2
46993 is prime because no prime up to ā46993 ā 216.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4850th prime is close to 4850 Ć ln(4850) ā 41161, and here it is 46993.
- 4
46993 has no twin: neither 46991 nor 46995 is prime.
Primes around the 4850th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4847 | 46919 | 18 |
| 4848 | 46933 | 14 |
| 4849 | 46957 | 24 |
| 4850 | 46993 | 36 |
| 4851 | 46997 | 4 |
| 4852 | 47017 | 20 |
| 4853 | 47041 | 24 |
Questions
What is the 4850th prime number?
46993.
Which prime number is 46993?
46993 is the 4850th prime number.
What is the sum of the first 4850 primes?
107,284,721.