What is the 6307th prime number?
The 6307th prime number is 62869. The next prime is 62873 (a gap of 4) and the one before is 62861.
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 6307th one is 62869.
- 2
62869 is prime because no prime up to ā62869 ā 250.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6307th prime is close to 6307 Ć ln(6307) ā 55183, and here it is 62869.
- 4
62869 has no twin: neither 62867 nor 62871 is prime.
Primes around the 6307th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6304 | 62827 | 8 |
| 6305 | 62851 | 24 |
| 6306 | 62861 | 10 |
| 6307 | 62869 | 8 |
| 6308 | 62873 | 4 |
| 6309 | 62897 | 24 |
| 6310 | 62903 | 6 |
Questions
What is the 6307th prime number?
62869.
Which prime number is 62869?
62869 is the 6307th prime number.
What is the sum of the first 6307 primes?
187,206,088.