What is the 3293rd prime number?
The 3293rd prime number is 30497. The next prime is 30509 (a gap of 12) and the one before is 30493.
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 3293rd one is 30497.
- 2
30497 is prime because no prime up to ā30497 ā 174.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3293rd prime is close to 3293 Ć ln(3293) ā 26672, and here it is 30497.
- 4
30497 has no twin: neither 30495 nor 30499 is prime.
Primes around the 3293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3290 | 30469 | 2 |
| 3291 | 30491 | 22 |
| 3292 | 30493 | 2 |
| 3293 | 30497 | 4 |
| 3294 | 30509 | 12 |
| 3295 | 30517 | 8 |
| 3296 | 30529 | 12 |
Questions
What is the 3293rd prime number?
30497.
Which prime number is 30497?
30497 is the 3293rd prime number.
What is the sum of the first 3293 primes?
47,127,566.