What is the 6300th prime number?
The 6300th prime number is 62773. The next prime is 62791 (a gap of 18) and the one before is 62761.
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 6300th one is 62773.
- 2
62773 is prime because no prime up to ā62773 ā 250.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6300th prime is close to 6300 Ć ln(6300) ā 55114, and here it is 62773.
- 4
62773 has no twin: neither 62771 nor 62775 is prime.
Primes around the 6300th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6297 | 62743 | 12 |
| 6298 | 62753 | 10 |
| 6299 | 62761 | 8 |
| 6300 | 62773 | 12 |
| 6301 | 62791 | 18 |
| 6302 | 62801 | 10 |
| 6303 | 62819 | 18 |
Questions
What is the 6300th prime number?
62773.
Which prime number is 62773?
62773 is the 6300th prime number.
What is the sum of the first 6300 primes?
186,766,269.