What is the 3264th prime number?
The 3264th prime number is 30181. The next prime is 30187 (a gap of 6) and the one before is 30169.
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 3264th one is 30181.
- 2
30181 is prime because no prime up to ā30181 ā 173.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3264th prime is close to 3264 Ć ln(3264) ā 26408, and here it is 30181.
- 4
30181 has no twin: neither 30179 nor 30183 is prime.
Primes around the 3264th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3261 | 30139 | 2 |
| 3262 | 30161 | 22 |
| 3263 | 30169 | 8 |
| 3264 | 30181 | 12 |
| 3265 | 30187 | 6 |
| 3266 | 30197 | 10 |
| 3267 | 30203 | 6 |
Questions
What is the 3264th prime number?
30181.
Which prime number is 30181?
30181 is the 3264th prime number.
What is the sum of the first 3264 primes?
46,247,735.