What is the 5205th prime number?
The 5205th prime number is 50821. The next prime is 50833 (a gap of 12) and the one before is 50789.
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 5205th one is 50821.
- 2
50821 is prime because no prime up to ā50821 ā 225.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5205th prime is close to 5205 Ć ln(5205) ā 44541, and here it is 50821.
- 4
50821 has no twin: neither 50819 nor 50823 is prime.
Primes around the 5205th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5202 | 50773 | 6 |
| 5203 | 50777 | 4 |
| 5204 | 50789 | 12 |
| 5205 | 50821 | 32 |
| 5206 | 50833 | 12 |
| 5207 | 50839 | 6 |
| 5208 | 50849 | 10 |
Questions
What is the 5205th prime number?
50821.
Which prime number is 50821?
50821 is the 5205th prime number.
What is the sum of the first 5205 primes?
124,640,892.