What is the 3271st prime number?
The 3271st prime number is 30253. The next prime is 30259 (a gap of 6) and the one before is 30241.
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 3271st one is 30253.
- 2
30253 is prime because no prime up to ā30253 ā 173.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3271st prime is close to 3271 Ć ln(3271) ā 26472, and here it is 30253.
- 4
30253 has no twin: neither 30251 nor 30255 is prime.
Primes around the 3271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3268 | 30211 | 8 |
| 3269 | 30223 | 12 |
| 3270 | 30241 | 18 |
| 3271 | 30253 | 12 |
| 3272 | 30259 | 6 |
| 3273 | 30269 | 10 |
| 3274 | 30271 | 2 |
Questions
What is the 3271st prime number?
30253.
Which prime number is 30253?
30253 is the 3271st prime number.
What is the sum of the first 3271 primes?
46,459,250.