What is the 5303rd prime number?
The 5303rd prime number is 51829. The next prime is 51839 (a gap of 10) and the one before is 51827.
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 5303rd one is 51829.
- 2
51829 is prime because no prime up to ā51829 ā 227.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5303rd prime is close to 5303 Ć ln(5303) ā 45479, and here it is 51829.
- 4
51829 is a twin prime: 51827 and 51829 are both prime.
Primes around the 5303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5300 | 51803 | 6 |
| 5301 | 51817 | 14 |
| 5302 | 51827 | 10 |
| 5303 | 51829 | 2 |
| 5304 | 51839 | 10 |
| 5305 | 51853 | 14 |
| 5306 | 51859 | 6 |
Questions
What is the 5303rd prime number?
51829.
Which prime number is 51829?
51829 is the 5303rd prime number.
What is the sum of the first 5303 primes?
129,672,350.