What is the 3273rd prime number?
The 3273rd prime number is 30269. The next prime is 30271 (a gap of 2) and the one before is 30259.
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 3273rd one is 30269.
- 2
30269 is prime because no prime up to ā30269 ā 173.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3273rd prime is close to 3273 Ć ln(3273) ā 26490, and here it is 30269.
- 4
30269 is a twin prime: 30269 and 30271 are both prime.
Primes around the 3273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3270 | 30241 | 18 |
| 3271 | 30253 | 12 |
| 3272 | 30259 | 6 |
| 3273 | 30269 | 10 |
| 3274 | 30271 | 2 |
| 3275 | 30293 | 22 |
| 3276 | 30307 | 14 |
Questions
What is the 3273rd prime number?
30269.
Which prime number is 30269?
30269 is the 3273rd prime number.
What is the sum of the first 3273 primes?
46,519,778.