What is the 3294th prime number?
The 3294th prime number is 30509. The next prime is 30517 (a gap of 8) and the one before is 30497.
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 3294th one is 30509.
- 2
30509 is prime because no prime up to ā30509 ā 174.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3294th prime is close to 3294 Ć ln(3294) ā 26681, and here it is 30509.
- 4
30509 has no twin: neither 30507 nor 30511 is prime.
Primes around the 3294th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3291 | 30491 | 22 |
| 3292 | 30493 | 2 |
| 3293 | 30497 | 4 |
| 3294 | 30509 | 12 |
| 3295 | 30517 | 8 |
| 3296 | 30529 | 12 |
| 3297 | 30539 | 10 |
Questions
What is the 3294th prime number?
30509.
Which prime number is 30509?
30509 is the 3294th prime number.
What is the sum of the first 3294 primes?
47,158,075.