What is the 4522nd prime number?
The 4522nd prime number is 43331. The next prime is 43391 (a gap of 60) and the one before is 43321.
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 4522nd one is 43331.
- 2
43331 is prime because no prime up to ā43331 ā 208.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4522nd prime is close to 4522 Ć ln(4522) ā 38060, and here it is 43331.
- 4
43331 has no twin: neither 43329 nor 43333 is prime.
Primes around the 4522nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4519 | 43313 | 22 |
| 4520 | 43319 | 6 |
| 4521 | 43321 | 2 |
| 4522 | 43331 | 10 |
| 4523 | 43391 | 60 |
| 4524 | 43397 | 6 |
| 4525 | 43399 | 2 |
Questions
What is the 4522nd prime number?
43331.
Which prime number is 43331?
43331 is the 4522nd prime number.
What is the sum of the first 4522 primes?
92,470,939.