What is the 3360th prime number?
The 3360th prime number is 31183. The next prime is 31189 (a gap of 6) and the one before is 31181.
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 3360th one is 31183.
- 2
31183 is prime because no prime up to ā31183 ā 176.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3360th prime is close to 3360 Ć ln(3360) ā 27282, and here it is 31183.
- 4
31183 is a twin prime: 31181 and 31183 are both prime.
Primes around the 3360th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3357 | 31159 | 6 |
| 3358 | 31177 | 18 |
| 3359 | 31181 | 4 |
| 3360 | 31183 | 2 |
| 3361 | 31189 | 6 |
| 3362 | 31193 | 4 |
| 3363 | 31219 | 26 |
Questions
What is the 3360th prime number?
31183.
Which prime number is 31183?
31183 is the 3360th prime number.
What is the sum of the first 3360 primes?
49,195,065.