What is the 3262nd prime number?
The 3262nd prime number is 30161. The next prime is 30169 (a gap of 8) and the one before is 30139.
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 3262nd one is 30161.
- 2
30161 is prime because no prime up to ā30161 ā 173.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3262nd prime is close to 3262 Ć ln(3262) ā 26390, and here it is 30161.
- 4
30161 has no twin: neither 30159 nor 30163 is prime.
Primes around the 3262nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3259 | 30133 | 14 |
| 3260 | 30137 | 4 |
| 3261 | 30139 | 2 |
| 3262 | 30161 | 22 |
| 3263 | 30169 | 8 |
| 3264 | 30181 | 12 |
| 3265 | 30187 | 6 |
Questions
What is the 3262nd prime number?
30161.
Which prime number is 30161?
30161 is the 3262nd prime number.
What is the sum of the first 3262 primes?
46,187,385.