What is the 5206th prime number?
The 5206th prime number is 50833. The next prime is 50839 (a gap of 6) and the one before is 50821.
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 5206th one is 50833.
- 2
50833 is prime because no prime up to ā50833 ā 225.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5206th prime is close to 5206 Ć ln(5206) ā 44551, and here it is 50833.
- 4
50833 has no twin: neither 50831 nor 50835 is prime.
Primes around the 5206th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5203 | 50777 | 4 |
| 5204 | 50789 | 12 |
| 5205 | 50821 | 32 |
| 5206 | 50833 | 12 |
| 5207 | 50839 | 6 |
| 5208 | 50849 | 10 |
| 5209 | 50857 | 8 |
Questions
What is the 5206th prime number?
50833.
Which prime number is 50833?
50833 is the 5206th prime number.
What is the sum of the first 5206 primes?
124,691,725.