What is the 3167th prime number?
The 3167th prime number is 29137. The next prime is 29147 (a gap of 10) and the one before is 29131.
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 3167th one is 29137.
- 2
29137 is prime because no prime up to ā29137 ā 170.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3167th prime is close to 3167 Ć ln(3167) ā 25528, and here it is 29137.
- 4
29137 has no twin: neither 29135 nor 29139 is prime.
Primes around the 3167th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3164 | 29123 | 22 |
| 3165 | 29129 | 6 |
| 3166 | 29131 | 2 |
| 3167 | 29137 | 6 |
| 3168 | 29147 | 10 |
| 3169 | 29153 | 6 |
| 3170 | 29167 | 14 |
Questions
What is the 3167th prime number?
29137.
Which prime number is 29137?
29137 is the 3167th prime number.
What is the sum of the first 3167 primes?
43,371,440.