What is the 3287th prime number?
The 3287th prime number is 30431. The next prime is 30449 (a gap of 18) and the one before is 30427.
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 3287th one is 30431.
- 2
30431 is prime because no prime up to ā30431 ā 174.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3287th prime is close to 3287 Ć ln(3287) ā 26617, and here it is 30431.
- 4
30431 has no twin: neither 30429 nor 30433 is prime.
Primes around the 3287th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3284 | 30391 | 2 |
| 3285 | 30403 | 12 |
| 3286 | 30427 | 24 |
| 3287 | 30431 | 4 |
| 3288 | 30449 | 18 |
| 3289 | 30467 | 18 |
| 3290 | 30469 | 2 |
Questions
What is the 3287th prime number?
30431.
Which prime number is 30431?
30431 is the 3287th prime number.
What is the sum of the first 3287 primes?
46,944,700.