What is the 3175th prime number?
The 3175th prime number is 29207. The next prime is 29209 (a gap of 2) and the one before is 29201.
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 3175th one is 29207.
- 2
29207 is prime because no prime up to ā29207 ā 170.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3175th prime is close to 3175 Ć ln(3175) ā 25600, and here it is 29207.
- 4
29207 is a twin prime: 29207 and 29209 are both prime.
Primes around the 3175th
| Position | Prime | Gap from the previous |
|---|---|---|
| 3172 | 29179 | 6 |
| 3173 | 29191 | 12 |
| 3174 | 29201 | 10 |
| 3175 | 29207 | 6 |
| 3176 | 29209 | 2 |
| 3177 | 29221 | 12 |
| 3178 | 29231 | 10 |
Questions
What is the 3175th prime number?
29207.
Which prime number is 29207?
29207 is the 3175th prime number.
What is the sum of the first 3175 primes?
43,604,858.