What is the 5183rd prime number?
The 5183rd prime number is 50539. The next prime is 50543 (a gap of 4) and the one before is 50527.
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 5183rd one is 50539.
- 2
50539 is prime because no prime up to ā50539 ā 224.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5183rd prime is close to 5183 Ć ln(5183) ā 44331, and here it is 50539.
- 4
50539 has no twin: neither 50537 nor 50541 is prime.
Primes around the 5183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5180 | 50503 | 6 |
| 5181 | 50513 | 10 |
| 5182 | 50527 | 14 |
| 5183 | 50539 | 12 |
| 5184 | 50543 | 4 |
| 5185 | 50549 | 6 |
| 5186 | 50551 | 2 |
Questions
What is the 5183rd prime number?
50539.
Which prime number is 50539?
50539 is the 5183rd prime number.
What is the sum of the first 5183 primes?
123,526,168.