What is the 5208th prime number?
The 5208th prime number is 50849. The next prime is 50857 (a gap of 8) and the one before is 50839.
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 5208th one is 50849.
- 2
50849 is prime because no prime up to ā50849 ā 225.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5208th prime is close to 5208 Ć ln(5208) ā 44570, and here it is 50849.
- 4
50849 has no twin: neither 50847 nor 50851 is prime.
Primes around the 5208th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5205 | 50821 | 32 |
| 5206 | 50833 | 12 |
| 5207 | 50839 | 6 |
| 5208 | 50849 | 10 |
| 5209 | 50857 | 8 |
| 5210 | 50867 | 10 |
| 5211 | 50873 | 6 |
Questions
What is the 5208th prime number?
50849.
Which prime number is 50849?
50849 is the 5208th prime number.
What is the sum of the first 5208 primes?
124,793,413.