What is the 3275th prime number?
The 3275th prime number is 30293. The next prime is 30307 (a gap of 14) and the one before is 30271.
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 3275th one is 30293.
- 2
30293 is prime because no prime up to ā30293 ā 174.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3275th prime is close to 3275 Ć ln(3275) ā 26508, and here it is 30293.
- 4
30293 has no twin: neither 30291 nor 30295 is prime.
Primes around the 3275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3272 | 30259 | 6 |
| 3273 | 30269 | 10 |
| 3274 | 30271 | 2 |
| 3275 | 30293 | 22 |
| 3276 | 30307 | 14 |
| 3277 | 30313 | 6 |
| 3278 | 30319 | 6 |
Questions
What is the 3275th prime number?
30293.
Which prime number is 30293?
30293 is the 3275th prime number.
What is the sum of the first 3275 primes?
46,580,342.