What is the 6301st prime number?
The 6301st prime number is 62791. The next prime is 62801 (a gap of 10) and the one before is 62773.
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 6301st one is 62791.
- 2
62791 is prime because no prime up to ā62791 ā 250.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6301st prime is close to 6301 Ć ln(6301) ā 55124, and here it is 62791.
- 4
62791 has no twin: neither 62789 nor 62793 is prime.
Primes around the 6301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6298 | 62753 | 10 |
| 6299 | 62761 | 8 |
| 6300 | 62773 | 12 |
| 6301 | 62791 | 18 |
| 6302 | 62801 | 10 |
| 6303 | 62819 | 18 |
| 6304 | 62827 | 8 |
Questions
What is the 6301st prime number?
62791.
Which prime number is 62791?
62791 is the 6301st prime number.
What is the sum of the first 6301 primes?
186,829,060.