What is the 3363rd prime number?
The 3363rd prime number is 31219. The next prime is 31223 (a gap of 4) and the one before is 31193.
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 3363rd one is 31219.
- 2
31219 is prime because no prime up to ā31219 ā 176.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3363rd prime is close to 3363 Ć ln(3363) ā 27310, and here it is 31219.
- 4
31219 has no twin: neither 31217 nor 31221 is prime.
Primes around the 3363rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3360 | 31183 | 2 |
| 3361 | 31189 | 6 |
| 3362 | 31193 | 4 |
| 3363 | 31219 | 26 |
| 3364 | 31223 | 4 |
| 3365 | 31231 | 8 |
| 3366 | 31237 | 6 |
Questions
What is the 3363rd prime number?
31219.
Which prime number is 31219?
31219 is the 3363rd prime number.
What is the sum of the first 3363 primes?
49,288,666.