What is the 4633rd prime number?
The 4633rd prime number is 44563. The next prime is 44579 (a gap of 16) and the one before is 44549.
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 4633rd one is 44563.
- 2
44563 is prime because no prime up to ā44563 ā 211.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4633rd prime is close to 4633 Ć ln(4633) ā 39107, and here it is 44563.
- 4
44563 has no twin: neither 44561 nor 44565 is prime.
Primes around the 4633rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4630 | 44537 | 4 |
| 4631 | 44543 | 6 |
| 4632 | 44549 | 6 |
| 4633 | 44563 | 14 |
| 4634 | 44579 | 16 |
| 4635 | 44587 | 8 |
| 4636 | 44617 | 30 |
Questions
What is the 4633rd prime number?
44563.
Which prime number is 44563?
44563 is the 4633rd prime number.
What is the sum of the first 4633 primes?
97,352,338.