What is the 3598th prime number?
The 3598th prime number is 33599. The next prime is 33601 (a gap of 2) and the one before is 33589.
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 3598th one is 33599.
- 2
33599 is prime because no prime up to ā33599 ā 183.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3598th prime is close to 3598 Ć ln(3598) ā 29461, and here it is 33599.
- 4
33599 is a twin prime: 33599 and 33601 are both prime.
Primes around the 3598th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3595 | 33581 | 4 |
| 3596 | 33587 | 6 |
| 3597 | 33589 | 2 |
| 3598 | 33599 | 10 |
| 3599 | 33601 | 2 |
| 3600 | 33613 | 12 |
| 3601 | 33617 | 4 |
Questions
What is the 3598th prime number?
33599.
Which prime number is 33599?
33599 is the 3598th prime number.
What is the sum of the first 3598 primes?
56,910,633.