What is the 3365th prime number?
The 3365th prime number is 31231. The next prime is 31237 (a gap of 6) and the one before is 31223.
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 3365th one is 31231.
- 2
31231 is prime because no prime up to ā31231 ā 176.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3365th prime is close to 3365 Ć ln(3365) ā 27328, and here it is 31231.
- 4
31231 has no twin: neither 31229 nor 31233 is prime.
Primes around the 3365th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3362 | 31193 | 4 |
| 3363 | 31219 | 26 |
| 3364 | 31223 | 4 |
| 3365 | 31231 | 8 |
| 3366 | 31237 | 6 |
| 3367 | 31247 | 10 |
| 3368 | 31249 | 2 |
Questions
What is the 3365th prime number?
31231.
Which prime number is 31231?
31231 is the 3365th prime number.
What is the sum of the first 3365 primes?
49,351,120.