What is the 3358th prime number?
The 3358th prime number is 31177. The next prime is 31181 (a gap of 4) and the one before is 31159.
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 3358th one is 31177.
- 2
31177 is prime because no prime up to ā31177 ā 176.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3358th prime is close to 3358 Ć ln(3358) ā 27264, and here it is 31177.
- 4
31177 has no twin: neither 31175 nor 31179 is prime.
Primes around the 3358th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3355 | 31151 | 4 |
| 3356 | 31153 | 2 |
| 3357 | 31159 | 6 |
| 3358 | 31177 | 18 |
| 3359 | 31181 | 4 |
| 3360 | 31183 | 2 |
| 3361 | 31189 | 6 |
Questions
What is the 3358th prime number?
31177.
Which prime number is 31177?
31177 is the 3358th prime number.
What is the sum of the first 3358 primes?
49,132,701.