What is the 5204th prime number?
The 5204th prime number is 50789. The next prime is 50821 (a gap of 32) and the one before is 50777.
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 5204th one is 50789.
- 2
50789 is prime because no prime up to ā50789 ā 225.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5204th prime is close to 5204 Ć ln(5204) ā 44532, and here it is 50789.
- 4
50789 has no twin: neither 50787 nor 50791 is prime.
Primes around the 5204th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5201 | 50767 | 14 |
| 5202 | 50773 | 6 |
| 5203 | 50777 | 4 |
| 5204 | 50789 | 12 |
| 5205 | 50821 | 32 |
| 5206 | 50833 | 12 |
| 5207 | 50839 | 6 |
Questions
What is the 5204th prime number?
50789.
Which prime number is 50789?
50789 is the 5204th prime number.
What is the sum of the first 5204 primes?
124,590,071.