What is the 6302nd prime number?
The 6302nd prime number is 62801. The next prime is 62819 (a gap of 18) and the one before is 62791.
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 6302nd one is 62801.
- 2
62801 is prime because no prime up to ā62801 ā 250.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6302nd prime is close to 6302 Ć ln(6302) ā 55134, and here it is 62801.
- 4
62801 has no twin: neither 62799 nor 62803 is prime.
Primes around the 6302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6299 | 62761 | 8 |
| 6300 | 62773 | 12 |
| 6301 | 62791 | 18 |
| 6302 | 62801 | 10 |
| 6303 | 62819 | 18 |
| 6304 | 62827 | 8 |
| 6305 | 62851 | 24 |
Questions
What is the 6302nd prime number?
62801.
Which prime number is 62801?
62801 is the 6302nd prime number.
What is the sum of the first 6302 primes?
186,891,861.