What is the 4746th prime number?
The 4746th prime number is 45823. The next prime is 45827 (a gap of 4) and the one before is 45821.
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 4746th one is 45823.
- 2
45823 is prime because no prime up to ā45823 ā 214.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4746th prime is close to 4746 Ć ln(4746) ā 40175, and here it is 45823.
- 4
45823 is a twin prime: 45821 and 45823 are both prime.
Primes around the 4746th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4743 | 45779 | 12 |
| 4744 | 45817 | 38 |
| 4745 | 45821 | 4 |
| 4746 | 45823 | 2 |
| 4747 | 45827 | 4 |
| 4748 | 45833 | 6 |
| 4749 | 45841 | 8 |
Questions
What is the 4746th prime number?
45823.
Which prime number is 45823?
45823 is the 4746th prime number.
What is the sum of the first 4746 primes?
102,458,471.