What is the 3265th prime number?
The 3265th prime number is 30187. The next prime is 30197 (a gap of 10) and the one before is 30181.
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 3265th one is 30187.
- 2
30187 is prime because no prime up to ā30187 ā 173.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3265th prime is close to 3265 Ć ln(3265) ā 26417, and here it is 30187.
- 4
30187 has no twin: neither 30185 nor 30189 is prime.
Primes around the 3265th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3262 | 30161 | 22 |
| 3263 | 30169 | 8 |
| 3264 | 30181 | 12 |
| 3265 | 30187 | 6 |
| 3266 | 30197 | 10 |
| 3267 | 30203 | 6 |
| 3268 | 30211 | 8 |
Questions
What is the 3265th prime number?
30187.
Which prime number is 30187?
30187 is the 3265th prime number.
What is the sum of the first 3265 primes?
46,277,922.