What is the 3592nd prime number?
The 3592nd prime number is 33563. The next prime is 33569 (a gap of 6) and the one before is 33547.
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 3592nd one is 33563.
- 2
33563 is prime because no prime up to ā33563 ā 183.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3592nd prime is close to 3592 Ć ln(3592) ā 29406, and here it is 33563.
- 4
33563 has no twin: neither 33561 nor 33565 is prime.
Primes around the 3592nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3589 | 33529 | 8 |
| 3590 | 33533 | 4 |
| 3591 | 33547 | 14 |
| 3592 | 33563 | 16 |
| 3593 | 33569 | 6 |
| 3594 | 33577 | 8 |
| 3595 | 33581 | 4 |
Questions
What is the 3592nd prime number?
33563.
Which prime number is 33563?
33563 is the 3592nd prime number.
What is the sum of the first 3592 primes?
56,709,131.