What is the 3359th prime number?
The 3359th prime number is 31181. The next prime is 31183 (a gap of 2) and the one before is 31177.
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 3359th one is 31181.
- 2
31181 is prime because no prime up to ā31181 ā 176.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3359th prime is close to 3359 Ć ln(3359) ā 27273, and here it is 31181.
- 4
31181 is a twin prime: 31181 and 31183 are both prime.
Primes around the 3359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3356 | 31153 | 2 |
| 3357 | 31159 | 6 |
| 3358 | 31177 | 18 |
| 3359 | 31181 | 4 |
| 3360 | 31183 | 2 |
| 3361 | 31189 | 6 |
| 3362 | 31193 | 4 |
Questions
What is the 3359th prime number?
31181.
Which prime number is 31181?
31181 is the 3359th prime number.
What is the sum of the first 3359 primes?
49,163,882.