What is the 3361st prime number?
The 3361st prime number is 31189. The next prime is 31193 (a gap of 4) and the one before is 31183.
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 3361st one is 31189.
- 2
31189 is prime because no prime up to ā31189 ā 176.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3361st prime is close to 3361 Ć ln(3361) ā 27291, and here it is 31189.
- 4
31189 has no twin: neither 31187 nor 31191 is prime.
Primes around the 3361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3358 | 31177 | 18 |
| 3359 | 31181 | 4 |
| 3360 | 31183 | 2 |
| 3361 | 31189 | 6 |
| 3362 | 31193 | 4 |
| 3363 | 31219 | 26 |
| 3364 | 31223 | 4 |
Questions
What is the 3361st prime number?
31189.
Which prime number is 31189?
31189 is the 3361st prime number.
What is the sum of the first 3361 primes?
49,226,254.