What is the 6304th prime number?
The 6304th prime number is 62827. The next prime is 62851 (a gap of 24) and the one before is 62819.
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 6304th one is 62827.
- 2
62827 is prime because no prime up to ā62827 ā 250.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6304th prime is close to 6304 Ć ln(6304) ā 55153, and here it is 62827.
- 4
62827 has no twin: neither 62825 nor 62829 is prime.
Primes around the 6304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6301 | 62791 | 18 |
| 6302 | 62801 | 10 |
| 6303 | 62819 | 18 |
| 6304 | 62827 | 8 |
| 6305 | 62851 | 24 |
| 6306 | 62861 | 10 |
| 6307 | 62869 | 8 |
Questions
What is the 6304th prime number?
62827.
Which prime number is 62827?
62827 is the 6304th prime number.
What is the sum of the first 6304 primes?
187,017,507.