What is the 3596th prime number?
The 3596th prime number is 33587. The next prime is 33589 (a gap of 2) and the one before is 33581.
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 3596th one is 33587.
- 2
33587 is prime because no prime up to ā33587 ā 183.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3596th prime is close to 3596 Ć ln(3596) ā 29443, and here it is 33587.
- 4
33587 is a twin prime: 33587 and 33589 are both prime.
Primes around the 3596th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3593 | 33569 | 6 |
| 3594 | 33577 | 8 |
| 3595 | 33581 | 4 |
| 3596 | 33587 | 6 |
| 3597 | 33589 | 2 |
| 3598 | 33599 | 10 |
| 3599 | 33601 | 2 |
Questions
What is the 3596th prime number?
33587.
Which prime number is 33587?
33587 is the 3596th prime number.
What is the sum of the first 3596 primes?
56,843,445.