What is the 3297th prime number?
The 3297th prime number is 30539. The next prime is 30553 (a gap of 14) and the one before is 30529.
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 3297th one is 30539.
- 2
30539 is prime because no prime up to ā30539 ā 174.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3297th prime is close to 3297 Ć ln(3297) ā 26708, and here it is 30539.
- 4
30539 has no twin: neither 30537 nor 30541 is prime.
Primes around the 3297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3294 | 30509 | 12 |
| 3295 | 30517 | 8 |
| 3296 | 30529 | 12 |
| 3297 | 30539 | 10 |
| 3298 | 30553 | 14 |
| 3299 | 30557 | 4 |
| 3300 | 30559 | 2 |
Questions
What is the 3297th prime number?
30539.
Which prime number is 30539?
30539 is the 3297th prime number.
What is the sum of the first 3297 primes?
47,249,660.