What is the 3263rd prime number?
The 3263rd prime number is 30169. The next prime is 30181 (a gap of 12) and the one before is 30161.
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 3263rd one is 30169.
- 2
30169 is prime because no prime up to ā30169 ā 173.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3263rd prime is close to 3263 Ć ln(3263) ā 26399, and here it is 30169.
- 4
30169 has no twin: neither 30167 nor 30171 is prime.
Primes around the 3263rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3260 | 30137 | 4 |
| 3261 | 30139 | 2 |
| 3262 | 30161 | 22 |
| 3263 | 30169 | 8 |
| 3264 | 30181 | 12 |
| 3265 | 30187 | 6 |
| 3266 | 30197 | 10 |
Questions
What is the 3263rd prime number?
30169.
Which prime number is 30169?
30169 is the 3263rd prime number.
What is the sum of the first 3263 primes?
46,217,554.