What is the 4523rd prime number?
The 4523rd prime number is 43391. The next prime is 43397 (a gap of 6) and the one before is 43331.
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 4523rd one is 43391.
- 2
43391 is prime because no prime up to ā43391 ā 208.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4523rd prime is close to 4523 Ć ln(4523) ā 38070, and here it is 43391.
- 4
43391 has no twin: neither 43389 nor 43393 is prime.
Primes around the 4523rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4520 | 43319 | 6 |
| 4521 | 43321 | 2 |
| 4522 | 43331 | 10 |
| 4523 | 43391 | 60 |
| 4524 | 43397 | 6 |
| 4525 | 43399 | 2 |
| 4526 | 43403 | 4 |
Questions
What is the 4523rd prime number?
43391.
Which prime number is 43391?
43391 is the 4523rd prime number.
What is the sum of the first 4523 primes?
92,514,330.