What is the 6314th prime number?
The 6314th prime number is 62939. The next prime is 62969 (a gap of 30) and the one before is 62929.
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 6314th one is 62939.
- 2
62939 is prime because no prime up to ā62939 ā 250.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6314th prime is close to 6314 Ć ln(6314) ā 55251, and here it is 62939.
- 4
62939 has no twin: neither 62937 nor 62941 is prime.
Primes around the 6314th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6311 | 62921 | 18 |
| 6312 | 62927 | 6 |
| 6313 | 62929 | 2 |
| 6314 | 62939 | 10 |
| 6315 | 62969 | 30 |
| 6316 | 62971 | 2 |
| 6317 | 62981 | 10 |
Questions
What is the 6314th prime number?
62939.
Which prime number is 62939?
62939 is the 6314th prime number.
What is the sum of the first 6314 primes?
187,646,477.