What is the 3366th prime number?
The 3366th prime number is 31237. The next prime is 31247 (a gap of 10) and the one before is 31231.
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 3366th one is 31237.
- 2
31237 is prime because no prime up to ā31237 ā 176.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3366th prime is close to 3366 Ć ln(3366) ā 27337, and here it is 31237.
- 4
31237 has no twin: neither 31235 nor 31239 is prime.
Primes around the 3366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3363 | 31219 | 26 |
| 3364 | 31223 | 4 |
| 3365 | 31231 | 8 |
| 3366 | 31237 | 6 |
| 3367 | 31247 | 10 |
| 3368 | 31249 | 2 |
| 3369 | 31253 | 4 |
Questions
What is the 3366th prime number?
31237.
Which prime number is 31237?
31237 is the 3366th prime number.
What is the sum of the first 3366 primes?
49,382,357.