What is the 5188th prime number?
The 5188th prime number is 50587. The next prime is 50591 (a gap of 4) and the one before is 50581.
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 5188th one is 50587.
- 2
50587 is prime because no prime up to ā50587 ā 224.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5188th prime is close to 5188 Ć ln(5188) ā 44379, and here it is 50587.
- 4
50587 has no twin: neither 50585 nor 50589 is prime.
Primes around the 5188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5185 | 50549 | 6 |
| 5186 | 50551 | 2 |
| 5187 | 50581 | 30 |
| 5188 | 50587 | 6 |
| 5189 | 50591 | 4 |
| 5190 | 50593 | 2 |
| 5191 | 50599 | 6 |
Questions
What is the 5188th prime number?
50587.
Which prime number is 50587?
50587 is the 5188th prime number.
What is the sum of the first 5188 primes?
123,778,979.