What is the 5207th prime number?
The 5207th prime number is 50839. The next prime is 50849 (a gap of 10) and the one before is 50833.
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 5207th one is 50839.
- 2
50839 is prime because no prime up to ā50839 ā 225.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5207th prime is close to 5207 Ć ln(5207) ā 44560, and here it is 50839.
- 4
50839 has no twin: neither 50837 nor 50841 is prime.
Primes around the 5207th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5204 | 50789 | 12 |
| 5205 | 50821 | 32 |
| 5206 | 50833 | 12 |
| 5207 | 50839 | 6 |
| 5208 | 50849 | 10 |
| 5209 | 50857 | 8 |
| 5210 | 50867 | 10 |
Questions
What is the 5207th prime number?
50839.
Which prime number is 50839?
50839 is the 5207th prime number.
What is the sum of the first 5207 primes?
124,742,564.