What is the 4749th prime number?
The 4749th prime number is 45841. The next prime is 45853 (a gap of 12) and the one before is 45833.
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 4749th one is 45841.
- 2
45841 is prime because no prime up to ā45841 ā 214.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4749th prime is close to 4749 Ć ln(4749) ā 40204, and here it is 45841.
- 4
45841 has no twin: neither 45839 nor 45843 is prime.
Primes around the 4749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4746 | 45823 | 2 |
| 4747 | 45827 | 4 |
| 4748 | 45833 | 6 |
| 4749 | 45841 | 8 |
| 4750 | 45853 | 12 |
| 4751 | 45863 | 10 |
| 4752 | 45869 | 6 |
Questions
What is the 4749th prime number?
45841.
Which prime number is 45841?
45841 is the 4749th prime number.
What is the sum of the first 4749 primes?
102,595,972.