What is the 3168th prime number?
The 3168th prime number is 29147. The next prime is 29153 (a gap of 6) and the one before is 29137.
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 3168th one is 29147.
- 2
29147 is prime because no prime up to ā29147 ā 170.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3168th prime is close to 3168 Ć ln(3168) ā 25537, and here it is 29147.
- 4
29147 has no twin: neither 29145 nor 29149 is prime.
Primes around the 3168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3165 | 29129 | 6 |
| 3166 | 29131 | 2 |
| 3167 | 29137 | 6 |
| 3168 | 29147 | 10 |
| 3169 | 29153 | 6 |
| 3170 | 29167 | 14 |
| 3171 | 29173 | 6 |
Questions
What is the 3168th prime number?
29147.
Which prime number is 29147?
29147 is the 3168th prime number.
What is the sum of the first 3168 primes?
43,400,587.