What is the 4747th prime number?
The 4747th prime number is 45827. The next prime is 45833 (a gap of 6) and the one before is 45823.
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 4747th one is 45827.
- 2
45827 is prime because no prime up to ā45827 ā 214.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4747th prime is close to 4747 Ć ln(4747) ā 40185, and here it is 45827.
- 4
45827 has no twin: neither 45825 nor 45829 is prime.
Primes around the 4747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4744 | 45817 | 38 |
| 4745 | 45821 | 4 |
| 4746 | 45823 | 2 |
| 4747 | 45827 | 4 |
| 4748 | 45833 | 6 |
| 4749 | 45841 | 8 |
| 4750 | 45853 | 12 |
Questions
What is the 4747th prime number?
45827.
Which prime number is 45827?
45827 is the 4747th prime number.
What is the sum of the first 4747 primes?
102,504,298.