What is the 5189th prime number?
The 5189th prime number is 50591. The next prime is 50593 (a gap of 2) and the one before is 50587.
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 5189th one is 50591.
- 2
50591 is prime because no prime up to ā50591 ā 224.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5189th prime is close to 5189 Ć ln(5189) ā 44388, and here it is 50591.
- 4
50591 is a twin prime: 50591 and 50593 are both prime.
Primes around the 5189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5186 | 50551 | 2 |
| 5187 | 50581 | 30 |
| 5188 | 50587 | 6 |
| 5189 | 50591 | 4 |
| 5190 | 50593 | 2 |
| 5191 | 50599 | 6 |
| 5192 | 50627 | 28 |
Questions
What is the 5189th prime number?
50591.
Which prime number is 50591?
50591 is the 5189th prime number.
What is the sum of the first 5189 primes?
123,829,570.