What is the 4750th prime number?
The 4750th prime number is 45853. The next prime is 45863 (a gap of 10) and the one before is 45841.
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 4750th one is 45853.
- 2
45853 is prime because no prime up to ā45853 ā 214.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4750th prime is close to 4750 Ć ln(4750) ā 40213, and here it is 45853.
- 4
45853 has no twin: neither 45851 nor 45855 is prime.
Primes around the 4750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4747 | 45827 | 4 |
| 4748 | 45833 | 6 |
| 4749 | 45841 | 8 |
| 4750 | 45853 | 12 |
| 4751 | 45863 | 10 |
| 4752 | 45869 | 6 |
| 4753 | 45887 | 18 |
Questions
What is the 4750th prime number?
45853.
Which prime number is 45853?
45853 is the 4750th prime number.
What is the sum of the first 4750 primes?
102,641,825.