What is the 6311th prime number?
The 6311th prime number is 62921. The next prime is 62927 (a gap of 6) and the one before is 62903.
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 6311th one is 62921.
- 2
62921 is prime because no prime up to ā62921 ā 250.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6311th prime is close to 6311 Ć ln(6311) ā 55222, and here it is 62921.
- 4
62921 has no twin: neither 62919 nor 62923 is prime.
Primes around the 6311th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6308 | 62873 | 4 |
| 6309 | 62897 | 24 |
| 6310 | 62903 | 6 |
| 6311 | 62921 | 18 |
| 6312 | 62927 | 6 |
| 6313 | 62929 | 2 |
| 6314 | 62939 | 10 |
Questions
What is the 6311th prime number?
62921.
Which prime number is 62921?
62921 is the 6311th prime number.
What is the sum of the first 6311 primes?
187,457,682.