What is the 3591st prime number?
The 3591st prime number is 33547. The next prime is 33563 (a gap of 16) and the one before is 33533.
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 3591st one is 33547.
- 2
33547 is prime because no prime up to ā33547 ā 183.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3591st prime is close to 3591 Ć ln(3591) ā 29397, and here it is 33547.
- 4
33547 has no twin: neither 33545 nor 33549 is prime.
Primes around the 3591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3588 | 33521 | 18 |
| 3589 | 33529 | 8 |
| 3590 | 33533 | 4 |
| 3591 | 33547 | 14 |
| 3592 | 33563 | 16 |
| 3593 | 33569 | 6 |
| 3594 | 33577 | 8 |
Questions
What is the 3591st prime number?
33547.
Which prime number is 33547?
33547 is the 3591st prime number.
What is the sum of the first 3591 primes?
56,675,568.