What is the 5301st prime number?
The 5301st prime number is 51817. The next prime is 51827 (a gap of 10) and the one before is 51803.
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 5301st one is 51817.
- 2
51817 is prime because no prime up to ā51817 ā 227.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5301st prime is close to 5301 Ć ln(5301) ā 45460, and here it is 51817.
- 4
51817 has no twin: neither 51815 nor 51819 is prime.
Primes around the 5301st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5298 | 51787 | 18 |
| 5299 | 51797 | 10 |
| 5300 | 51803 | 6 |
| 5301 | 51817 | 14 |
| 5302 | 51827 | 10 |
| 5303 | 51829 | 2 |
| 5304 | 51839 | 10 |
Questions
What is the 5301st prime number?
51817.
Which prime number is 51817?
51817 is the 5301st prime number.
What is the sum of the first 5301 primes?
129,568,694.