What is the 3170th prime number?
The 3170th prime number is 29167. The next prime is 29173 (a gap of 6) and the one before is 29153.
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 3170th one is 29167.
- 2
29167 is prime because no prime up to ā29167 ā 170.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3170th prime is close to 3170 Ć ln(3170) ā 25555, and here it is 29167.
- 4
29167 has no twin: neither 29165 nor 29169 is prime.
Primes around the 3170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3167 | 29137 | 6 |
| 3168 | 29147 | 10 |
| 3169 | 29153 | 6 |
| 3170 | 29167 | 14 |
| 3171 | 29173 | 6 |
| 3172 | 29179 | 6 |
| 3173 | 29191 | 12 |
Questions
What is the 3170th prime number?
29167.
Which prime number is 29167?
29167 is the 3170th prime number.
What is the sum of the first 3170 primes?
43,458,907.