What is the 3292nd prime number?
The 3292nd prime number is 30493. The next prime is 30497 (a gap of 4) and the one before is 30491.
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 3292nd one is 30493.
- 2
30493 is prime because no prime up to ā30493 ā 174.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3292nd prime is close to 3292 Ć ln(3292) ā 26663, and here it is 30493.
- 4
30493 is a twin prime: 30491 and 30493 are both prime.
Primes around the 3292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3289 | 30467 | 18 |
| 3290 | 30469 | 2 |
| 3291 | 30491 | 22 |
| 3292 | 30493 | 2 |
| 3293 | 30497 | 4 |
| 3294 | 30509 | 12 |
| 3295 | 30517 | 8 |
Questions
What is the 3292nd prime number?
30493.
Which prime number is 30493?
30493 is the 3292nd prime number.
What is the sum of the first 3292 primes?
47,097,069.