What is the 5187th prime number?
The 5187th prime number is 50581. The next prime is 50587 (a gap of 6) and the one before is 50551.
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 5187th one is 50581.
- 2
50581 is prime because no prime up to ā50581 ā 224.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5187th prime is close to 5187 Ć ln(5187) ā 44369, and here it is 50581.
- 4
50581 has no twin: neither 50579 nor 50583 is prime.
Primes around the 5187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5184 | 50543 | 4 |
| 5185 | 50549 | 6 |
| 5186 | 50551 | 2 |
| 5187 | 50581 | 30 |
| 5188 | 50587 | 6 |
| 5189 | 50591 | 4 |
| 5190 | 50593 | 2 |
Questions
What is the 5187th prime number?
50581.
Which prime number is 50581?
50581 is the 5187th prime number.
What is the sum of the first 5187 primes?
123,728,392.