What is the 5209th prime number?
The 5209th prime number is 50857. The next prime is 50867 (a gap of 10) and the one before is 50849.
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 5209th one is 50857.
- 2
50857 is prime because no prime up to ā50857 ā 225.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5209th prime is close to 5209 Ć ln(5209) ā 44579, and here it is 50857.
- 4
50857 has no twin: neither 50855 nor 50859 is prime.
Primes around the 5209th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5206 | 50833 | 12 |
| 5207 | 50839 | 6 |
| 5208 | 50849 | 10 |
| 5209 | 50857 | 8 |
| 5210 | 50867 | 10 |
| 5211 | 50873 | 6 |
| 5212 | 50891 | 18 |
Questions
What is the 5209th prime number?
50857.
Which prime number is 50857?
50857 is the 5209th prime number.
What is the sum of the first 5209 primes?
124,844,270.