What is the 6308th prime number?
The 6308th prime number is 62873. The next prime is 62897 (a gap of 24) and the one before is 62869.
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 6308th one is 62873.
- 2
62873 is prime because no prime up to ā62873 ā 250.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6308th prime is close to 6308 Ć ln(6308) ā 55192, and here it is 62873.
- 4
62873 has no twin: neither 62871 nor 62875 is prime.
Primes around the 6308th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6305 | 62851 | 24 |
| 6306 | 62861 | 10 |
| 6307 | 62869 | 8 |
| 6308 | 62873 | 4 |
| 6309 | 62897 | 24 |
| 6310 | 62903 | 6 |
| 6311 | 62921 | 18 |
Questions
What is the 6308th prime number?
62873.
Which prime number is 62873?
62873 is the 6308th prime number.
What is the sum of the first 6308 primes?
187,268,961.