What is the 5304th prime number?
The 5304th prime number is 51839. The next prime is 51853 (a gap of 14) and the one before is 51829.
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 5304th one is 51839.
- 2
51839 is prime because no prime up to ā51839 ā 227.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5304th prime is close to 5304 Ć ln(5304) ā 45488, and here it is 51839.
- 4
51839 has no twin: neither 51837 nor 51841 is prime.
Primes around the 5304th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5301 | 51817 | 14 |
| 5302 | 51827 | 10 |
| 5303 | 51829 | 2 |
| 5304 | 51839 | 10 |
| 5305 | 51853 | 14 |
| 5306 | 51859 | 6 |
| 5307 | 51869 | 10 |
Questions
What is the 5304th prime number?
51839.
Which prime number is 51839?
51839 is the 5304th prime number.
What is the sum of the first 5304 primes?
129,724,189.