What is the 3372nd prime number?
The 3372nd prime number is 31271. The next prime is 31277 (a gap of 6) and the one before is 31267.
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 3372nd one is 31271.
- 2
31271 is prime because no prime up to ā31271 ā 176.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3372nd prime is close to 3372 Ć ln(3372) ā 27392, and here it is 31271.
- 4
31271 has no twin: neither 31269 nor 31273 is prime.
Primes around the 3372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3369 | 31253 | 4 |
| 3370 | 31259 | 6 |
| 3371 | 31267 | 8 |
| 3372 | 31271 | 4 |
| 3373 | 31277 | 6 |
| 3374 | 31307 | 30 |
| 3375 | 31319 | 12 |
Questions
What is the 3372nd prime number?
31271.
Which prime number is 31271?
31271 is the 3372nd prime number.
What is the sum of the first 3372 primes?
49,569,903.