What is the 3362nd prime number?
The 3362nd prime number is 31193. The next prime is 31219 (a gap of 26) and the one before is 31189.
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 3362nd one is 31193.
- 2
31193 is prime because no prime up to ā31193 ā 176.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3362nd prime is close to 3362 Ć ln(3362) ā 27300, and here it is 31193.
- 4
31193 has no twin: neither 31191 nor 31195 is prime.
Primes around the 3362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3359 | 31181 | 4 |
| 3360 | 31183 | 2 |
| 3361 | 31189 | 6 |
| 3362 | 31193 | 4 |
| 3363 | 31219 | 26 |
| 3364 | 31223 | 4 |
| 3365 | 31231 | 8 |
Questions
What is the 3362nd prime number?
31193.
Which prime number is 31193?
31193 is the 3362nd prime number.
What is the sum of the first 3362 primes?
49,257,447.