What is the 5182nd prime number?
The 5182nd prime number is 50527. The next prime is 50539 (a gap of 12) and the one before is 50513.
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 5182nd one is 50527.
- 2
50527 is prime because no prime up to ā50527 ā 224.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5182nd prime is close to 5182 Ć ln(5182) ā 44321, and here it is 50527.
- 4
50527 has no twin: neither 50525 nor 50529 is prime.
Primes around the 5182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5179 | 50497 | 36 |
| 5180 | 50503 | 6 |
| 5181 | 50513 | 10 |
| 5182 | 50527 | 14 |
| 5183 | 50539 | 12 |
| 5184 | 50543 | 4 |
| 5185 | 50549 | 6 |
Questions
What is the 5182nd prime number?
50527.
Which prime number is 50527?
50527 is the 5182nd prime number.
What is the sum of the first 5182 primes?
123,475,629.