What is the 3281st prime number?
The 3281st prime number is 30347. The next prime is 30367 (a gap of 20) and the one before is 30341.
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 3281st one is 30347.
- 2
30347 is prime because no prime up to ā30347 ā 174.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3281st prime is close to 3281 Ć ln(3281) ā 26563, and here it is 30347.
- 4
30347 has no twin: neither 30345 nor 30349 is prime.
Primes around the 3281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3278 | 30319 | 6 |
| 3279 | 30323 | 4 |
| 3280 | 30341 | 18 |
| 3281 | 30347 | 6 |
| 3282 | 30367 | 20 |
| 3283 | 30389 | 22 |
| 3284 | 30391 | 2 |
Questions
What is the 3281st prime number?
30347.
Which prime number is 30347?
30347 is the 3281st prime number.
What is the sum of the first 3281 primes?
46,762,292.