What is the 3165th prime number?
The 3165th prime number is 29129. The next prime is 29131 (a gap of 2) and the one before is 29123.
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 3165th one is 29129.
- 2
29129 is prime because no prime up to ā29129 ā 170.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3165th prime is close to 3165 Ć ln(3165) ā 25510, and here it is 29129.
- 4
29129 is a twin prime: 29129 and 29131 are both prime.
Primes around the 3165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3162 | 29077 | 14 |
| 3163 | 29101 | 24 |
| 3164 | 29123 | 22 |
| 3165 | 29129 | 6 |
| 3166 | 29131 | 2 |
| 3167 | 29137 | 6 |
| 3168 | 29147 | 10 |
Questions
What is the 3165th prime number?
29129.
Which prime number is 29129?
29129 is the 3165th prime number.
What is the sum of the first 3165 primes?
43,313,172.