What is the 3176th prime number?
The 3176th prime number is 29209. The next prime is 29221 (a gap of 12) and the one before is 29207.
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 3176th one is 29209.
- 2
29209 is prime because no prime up to ā29209 ā 170.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3176th prime is close to 3176 Ć ln(3176) ā 25609, and here it is 29209.
- 4
29209 is a twin prime: 29207 and 29209 are both prime.
Primes around the 3176th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3173 | 29191 | 12 |
| 3174 | 29201 | 10 |
| 3175 | 29207 | 6 |
| 3176 | 29209 | 2 |
| 3177 | 29221 | 12 |
| 3178 | 29231 | 10 |
| 3179 | 29243 | 12 |
Questions
What is the 3176th prime number?
29209.
Which prime number is 29209?
29209 is the 3176th prime number.
What is the sum of the first 3176 primes?
43,634,067.