What is the 3599th prime number?
The 3599th prime number is 33601. The next prime is 33613 (a gap of 12) and the one before is 33599.
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 3599th one is 33601.
- 2
33601 is prime because no prime up to ā33601 ā 183.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3599th prime is close to 3599 Ć ln(3599) ā 29470, and here it is 33601.
- 4
33601 is a twin prime: 33599 and 33601 are both prime.
Primes around the 3599th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3596 | 33587 | 6 |
| 3597 | 33589 | 2 |
| 3598 | 33599 | 10 |
| 3599 | 33601 | 2 |
| 3600 | 33613 | 12 |
| 3601 | 33617 | 4 |
| 3602 | 33619 | 2 |
Questions
What is the 3599th prime number?
33601.
Which prime number is 33601?
33601 is the 3599th prime number.
What is the sum of the first 3599 primes?
56,944,234.