What is the 3299th prime number?
The 3299th prime number is 30557. The next prime is 30559 (a gap of 2) and the one before is 30553.
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 3299th one is 30557.
- 2
30557 is prime because no prime up to ā30557 ā 174.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3299th prime is close to 3299 Ć ln(3299) ā 26726, and here it is 30557.
- 4
30557 is a twin prime: 30557 and 30559 are both prime.
Primes around the 3299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3296 | 30529 | 12 |
| 3297 | 30539 | 10 |
| 3298 | 30553 | 14 |
| 3299 | 30557 | 4 |
| 3300 | 30559 | 2 |
| 3301 | 30577 | 18 |
| 3302 | 30593 | 16 |
Questions
What is the 3299th prime number?
30557.
Which prime number is 30557?
30557 is the 3299th prime number.
What is the sum of the first 3299 primes?
47,310,770.