What is the 5302nd prime number?
The 5302nd prime number is 51827. The next prime is 51829 (a gap of 2) and the one before is 51817.
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 5302nd one is 51827.
- 2
51827 is prime because no prime up to ā51827 ā 227.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5302nd prime is close to 5302 Ć ln(5302) ā 45469, and here it is 51827.
- 4
51827 is a twin prime: 51827 and 51829 are both prime.
Primes around the 5302nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5299 | 51797 | 10 |
| 5300 | 51803 | 6 |
| 5301 | 51817 | 14 |
| 5302 | 51827 | 10 |
| 5303 | 51829 | 2 |
| 5304 | 51839 | 10 |
| 5305 | 51853 | 14 |
Questions
What is the 5302nd prime number?
51827.
Which prime number is 51827?
51827 is the 5302nd prime number.
What is the sum of the first 5302 primes?
129,620,521.