What is the 3364th prime number?
The 3364th prime number is 31223. The next prime is 31231 (a gap of 8) and the one before is 31219.
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 3364th one is 31223.
- 2
31223 is prime because no prime up to ā31223 ā 176.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3364th prime is close to 3364 Ć ln(3364) ā 27319, and here it is 31223.
- 4
31223 has no twin: neither 31221 nor 31225 is prime.
Primes around the 3364th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3361 | 31189 | 6 |
| 3362 | 31193 | 4 |
| 3363 | 31219 | 26 |
| 3364 | 31223 | 4 |
| 3365 | 31231 | 8 |
| 3366 | 31237 | 6 |
| 3367 | 31247 | 10 |
Questions
What is the 3364th prime number?
31223.
Which prime number is 31223?
31223 is the 3364th prime number.
What is the sum of the first 3364 primes?
49,319,889.