What is the 6309th prime number?
The 6309th prime number is 62897. The next prime is 62903 (a gap of 6) and the one before is 62873.
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 6309th one is 62897.
- 2
62897 is prime because no prime up to ā62897 ā 250.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6309th prime is close to 6309 Ć ln(6309) ā 55202, and here it is 62897.
- 4
62897 has no twin: neither 62895 nor 62899 is prime.
Primes around the 6309th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6306 | 62861 | 10 |
| 6307 | 62869 | 8 |
| 6308 | 62873 | 4 |
| 6309 | 62897 | 24 |
| 6310 | 62903 | 6 |
| 6311 | 62921 | 18 |
| 6312 | 62927 | 6 |
Questions
What is the 6309th prime number?
62897.
Which prime number is 62897?
62897 is the 6309th prime number.
What is the sum of the first 6309 primes?
187,331,858.