What is the 3522nd prime number?
The 3522nd prime number is 32839. The next prime is 32843 (a gap of 4) and the one before is 32833.
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 3522nd one is 32839.
- 2
32839 is prime because no prime up to ā32839 ā 181.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3522nd prime is close to 3522 Ć ln(3522) ā 28763, and here it is 32839.
- 4
32839 has no twin: neither 32837 nor 32841 is prime.
Primes around the 3522nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3519 | 32803 | 2 |
| 3520 | 32831 | 28 |
| 3521 | 32833 | 2 |
| 3522 | 32839 | 6 |
| 3523 | 32843 | 4 |
| 3524 | 32869 | 26 |
| 3525 | 32887 | 18 |
Questions
What is the 3522nd prime number?
32839.
Which prime number is 32839?
32839 is the 3522nd prime number.
What is the sum of the first 3522 primes?
54,384,789.