What is the 6176th prime number?
The 6176th prime number is 61381. The next prime is 61403 (a gap of 22) and the one before is 61379.
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 6176th one is 61381.
- 2
61381 is prime because no prime up to ā61381 ā 247.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6176th prime is close to 6176 Ć ln(6176) ā 53907, and here it is 61381.
- 4
61381 is a twin prime: 61379 and 61381 are both prime.
Primes around the 6176th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6173 | 61357 | 14 |
| 6174 | 61363 | 6 |
| 6175 | 61379 | 16 |
| 6176 | 61381 | 2 |
| 6177 | 61403 | 22 |
| 6178 | 61409 | 6 |
| 6179 | 61417 | 8 |
Questions
What is the 6176th prime number?
61381.
Which prime number is 61381?
61381 is the 6176th prime number.
What is the sum of the first 6176 primes?
179,069,643.