What is the 4852nd prime number?
The 4852nd prime number is 47017. The next prime is 47041 (a gap of 24) and the one before is 46997.
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 4852nd one is 47017.
- 2
47017 is prime because no prime up to ā47017 ā 216.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4852nd prime is close to 4852 Ć ln(4852) ā 41180, and here it is 47017.
- 4
47017 has no twin: neither 47015 nor 47019 is prime.
Primes around the 4852nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4849 | 46957 | 24 |
| 4850 | 46993 | 36 |
| 4851 | 46997 | 4 |
| 4852 | 47017 | 20 |
| 4853 | 47041 | 24 |
| 4854 | 47051 | 10 |
| 4855 | 47057 | 6 |
Questions
What is the 4852nd prime number?
47017.
Which prime number is 47017?
47017 is the 4852nd prime number.
What is the sum of the first 4852 primes?
107,378,735.