What is the 4744th prime number?
The 4744th prime number is 45817. The next prime is 45821 (a gap of 4) and the one before is 45779.
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 4744th one is 45817.
- 2
45817 is prime because no prime up to ā45817 ā 214.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4744th prime is close to 4744 Ć ln(4744) ā 40156, and here it is 45817.
- 4
45817 has no twin: neither 45815 nor 45819 is prime.
Primes around the 4744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4741 | 45763 | 6 |
| 4742 | 45767 | 4 |
| 4743 | 45779 | 12 |
| 4744 | 45817 | 38 |
| 4745 | 45821 | 4 |
| 4746 | 45823 | 2 |
| 4747 | 45827 | 4 |
Questions
What is the 4744th prime number?
45817.
Which prime number is 45817?
45817 is the 4744th prime number.
What is the sum of the first 4744 primes?
102,366,827.