What is the 3278th prime number?
The 3278th prime number is 30319. The next prime is 30323 (a gap of 4) and the one before is 30313.
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 3278th one is 30319.
- 2
30319 is prime because no prime up to ā30319 ā 174.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3278th prime is close to 3278 Ć ln(3278) ā 26535, and here it is 30319.
- 4
30319 has no twin: neither 30317 nor 30321 is prime.
Primes around the 3278th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3275 | 30293 | 22 |
| 3276 | 30307 | 14 |
| 3277 | 30313 | 6 |
| 3278 | 30319 | 6 |
| 3279 | 30323 | 4 |
| 3280 | 30341 | 18 |
| 3281 | 30347 | 6 |
Questions
What is the 3278th prime number?
30319.
Which prime number is 30319?
30319 is the 3278th prime number.
What is the sum of the first 3278 primes?
46,671,281.