What is the 3288th prime number?
The 3288th prime number is 30449. The next prime is 30467 (a gap of 18) and the one before is 30431.
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 3288th one is 30449.
- 2
30449 is prime because no prime up to ā30449 ā 174.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3288th prime is close to 3288 Ć ln(3288) ā 26626, and here it is 30449.
- 4
30449 has no twin: neither 30447 nor 30451 is prime.
Primes around the 3288th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3285 | 30403 | 12 |
| 3286 | 30427 | 24 |
| 3287 | 30431 | 4 |
| 3288 | 30449 | 18 |
| 3289 | 30467 | 18 |
| 3290 | 30469 | 2 |
| 3291 | 30491 | 22 |
Questions
What is the 3288th prime number?
30449.
Which prime number is 30449?
30449 is the 3288th prime number.
What is the sum of the first 3288 primes?
46,975,149.