What is the 3272nd prime number?
The 3272nd prime number is 30259. The next prime is 30269 (a gap of 10) and the one before is 30253.
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 3272nd one is 30259.
- 2
30259 is prime because no prime up to ā30259 ā 173.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3272nd prime is close to 3272 Ć ln(3272) ā 26481, and here it is 30259.
- 4
30259 has no twin: neither 30257 nor 30261 is prime.
Primes around the 3272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3269 | 30223 | 12 |
| 3270 | 30241 | 18 |
| 3271 | 30253 | 12 |
| 3272 | 30259 | 6 |
| 3273 | 30269 | 10 |
| 3274 | 30271 | 2 |
| 3275 | 30293 | 22 |
Questions
What is the 3272nd prime number?
30259.
Which prime number is 30259?
30259 is the 3272nd prime number.
What is the sum of the first 3272 primes?
46,489,509.