What is the 5210th prime number?
The 5210th prime number is 50867. The next prime is 50873 (a gap of 6) and the one before is 50857.
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 5210th one is 50867.
- 2
50867 is prime because no prime up to ā50867 ā 225.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5210th prime is close to 5210 Ć ln(5210) ā 44589, and here it is 50867.
- 4
50867 has no twin: neither 50865 nor 50869 is prime.
Primes around the 5210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5207 | 50839 | 6 |
| 5208 | 50849 | 10 |
| 5209 | 50857 | 8 |
| 5210 | 50867 | 10 |
| 5211 | 50873 | 6 |
| 5212 | 50891 | 18 |
| 5213 | 50893 | 2 |
Questions
What is the 5210th prime number?
50867.
Which prime number is 50867?
50867 is the 5210th prime number.
What is the sum of the first 5210 primes?
124,895,137.