What is the 3166th prime number?
The 3166th prime number is 29131. The next prime is 29137 (a gap of 6) and the one before is 29129.
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 3166th one is 29131.
- 2
29131 is prime because no prime up to ā29131 ā 170.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3166th prime is close to 3166 Ć ln(3166) ā 25519, and here it is 29131.
- 4
29131 is a twin prime: 29129 and 29131 are both prime.
Primes around the 3166th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3163 | 29101 | 24 |
| 3164 | 29123 | 22 |
| 3165 | 29129 | 6 |
| 3166 | 29131 | 2 |
| 3167 | 29137 | 6 |
| 3168 | 29147 | 10 |
| 3169 | 29153 | 6 |
Questions
What is the 3166th prime number?
29131.
Which prime number is 29131?
29131 is the 3166th prime number.
What is the sum of the first 3166 primes?
43,342,303.