What is the 6312th prime number?
The 6312th prime number is 62927. The next prime is 62929 (a gap of 2) and the one before is 62921.
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 6312th one is 62927.
- 2
62927 is prime because no prime up to ā62927 ā 250.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6312th prime is close to 6312 Ć ln(6312) ā 55231, and here it is 62927.
- 4
62927 is a twin prime: 62927 and 62929 are both prime.
Primes around the 6312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6309 | 62897 | 24 |
| 6310 | 62903 | 6 |
| 6311 | 62921 | 18 |
| 6312 | 62927 | 6 |
| 6313 | 62929 | 2 |
| 6314 | 62939 | 10 |
| 6315 | 62969 | 30 |
Questions
What is the 6312th prime number?
62927.
Which prime number is 62927?
62927 is the 6312th prime number.
What is the sum of the first 6312 primes?
187,520,609.