What is the 6313th prime number?
The 6313th prime number is 62929. The next prime is 62939 (a gap of 10) and the one before is 62927.
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 6313th one is 62929.
- 2
62929 is prime because no prime up to ā62929 ā 250.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6313th prime is close to 6313 Ć ln(6313) ā 55241, and here it is 62929.
- 4
62929 is a twin prime: 62927 and 62929 are both prime.
Primes around the 6313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6310 | 62903 | 6 |
| 6311 | 62921 | 18 |
| 6312 | 62927 | 6 |
| 6313 | 62929 | 2 |
| 6314 | 62939 | 10 |
| 6315 | 62969 | 30 |
| 6316 | 62971 | 2 |
Questions
What is the 6313th prime number?
62929.
Which prime number is 62929?
62929 is the 6313th prime number.
What is the sum of the first 6313 primes?
187,583,538.