What is the 5173rd prime number?
The 5173rd prime number is 50411. The next prime is 50417 (a gap of 6) and the one before is 50387.
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 5173rd one is 50411.
- 2
50411 is prime because no prime up to ā50411 ā 224.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5173rd prime is close to 5173 Ć ln(5173) ā 44235, and here it is 50411.
- 4
50411 has no twin: neither 50409 nor 50413 is prime.
Primes around the 5173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5170 | 50377 | 14 |
| 5171 | 50383 | 6 |
| 5172 | 50387 | 4 |
| 5173 | 50411 | 24 |
| 5174 | 50417 | 6 |
| 5175 | 50423 | 6 |
| 5176 | 50441 | 18 |
Questions
What is the 5173rd prime number?
50411.
Which prime number is 50411?
50411 is the 5173rd prime number.
What is the sum of the first 5173 primes?
123,021,388.