What is the 4752nd prime number?
The 4752nd prime number is 45869. The next prime is 45887 (a gap of 18) and the one before is 45863.
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 4752nd one is 45869.
- 2
45869 is prime because no prime up to ā45869 ā 214.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4752nd prime is close to 4752 Ć ln(4752) ā 40232, and here it is 45869.
- 4
45869 has no twin: neither 45867 nor 45871 is prime.
Primes around the 4752nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4749 | 45841 | 8 |
| 4750 | 45853 | 12 |
| 4751 | 45863 | 10 |
| 4752 | 45869 | 6 |
| 4753 | 45887 | 18 |
| 4754 | 45893 | 6 |
| 4755 | 45943 | 50 |
Questions
What is the 4752nd prime number?
45869.
Which prime number is 45869?
45869 is the 4752nd prime number.
What is the sum of the first 4752 primes?
102,733,557.