What is the 3291st prime number?
The 3291st prime number is 30491. The next prime is 30493 (a gap of 2) and the one before is 30469.
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 3291st one is 30491.
- 2
30491 is prime because no prime up to ā30491 ā 174.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3291st prime is close to 3291 Ć ln(3291) ā 26654, and here it is 30491.
- 4
30491 is a twin prime: 30491 and 30493 are both prime.
Primes around the 3291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3288 | 30449 | 18 |
| 3289 | 30467 | 18 |
| 3290 | 30469 | 2 |
| 3291 | 30491 | 22 |
| 3292 | 30493 | 2 |
| 3293 | 30497 | 4 |
| 3294 | 30509 | 12 |
Questions
What is the 3291st prime number?
30491.
Which prime number is 30491?
30491 is the 3291st prime number.
What is the sum of the first 3291 primes?
47,066,576.