What is the 6175th prime number?
The 6175th prime number is 61379. The next prime is 61381 (a gap of 2) and the one before is 61363.
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 6175th one is 61379.
- 2
61379 is prime because no prime up to ā61379 ā 247.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6175th prime is close to 6175 Ć ln(6175) ā 53897, and here it is 61379.
- 4
61379 is a twin prime: 61379 and 61381 are both prime.
Primes around the 6175th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6172 | 61343 | 4 |
| 6173 | 61357 | 14 |
| 6174 | 61363 | 6 |
| 6175 | 61379 | 16 |
| 6176 | 61381 | 2 |
| 6177 | 61403 | 22 |
| 6178 | 61409 | 6 |
Questions
What is the 6175th prime number?
61379.
Which prime number is 61379?
61379 is the 6175th prime number.
What is the sum of the first 6175 primes?
179,008,262.