What is the 5185th prime number?
The 5185th prime number is 50549. The next prime is 50551 (a gap of 2) and the one before is 50543.
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 5185th one is 50549.
- 2
50549 is prime because no prime up to ā50549 ā 224.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5185th prime is close to 5185 Ć ln(5185) ā 44350, and here it is 50549.
- 4
50549 is a twin prime: 50549 and 50551 are both prime.
Primes around the 5185th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5182 | 50527 | 14 |
| 5183 | 50539 | 12 |
| 5184 | 50543 | 4 |
| 5185 | 50549 | 6 |
| 5186 | 50551 | 2 |
| 5187 | 50581 | 30 |
| 5188 | 50587 | 6 |
Questions
What is the 5185th prime number?
50549.
Which prime number is 50549?
50549 is the 5185th prime number.
What is the sum of the first 5185 primes?
123,627,260.