What is the 3371st prime number?
The 3371st prime number is 31267. The next prime is 31271 (a gap of 4) and the one before is 31259.
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 3371st one is 31267.
- 2
31267 is prime because no prime up to ā31267 ā 176.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3371st prime is close to 3371 Ć ln(3371) ā 27383, and here it is 31267.
- 4
31267 has no twin: neither 31265 nor 31269 is prime.
Primes around the 3371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3368 | 31249 | 2 |
| 3369 | 31253 | 4 |
| 3370 | 31259 | 6 |
| 3371 | 31267 | 8 |
| 3372 | 31271 | 4 |
| 3373 | 31277 | 6 |
| 3374 | 31307 | 30 |
Questions
What is the 3371st prime number?
31267.
Which prime number is 31267?
31267 is the 3371st prime number.
What is the sum of the first 3371 primes?
49,538,632.