What is the 5190th prime number?
The 5190th prime number is 50593. The next prime is 50599 (a gap of 6) and the one before is 50591.
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 5190th one is 50593.
- 2
50593 is prime because no prime up to ā50593 ā 224.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5190th prime is close to 5190 Ć ln(5190) ā 44398, and here it is 50593.
- 4
50593 is a twin prime: 50591 and 50593 are both prime.
Primes around the 5190th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5187 | 50581 | 30 |
| 5188 | 50587 | 6 |
| 5189 | 50591 | 4 |
| 5190 | 50593 | 2 |
| 5191 | 50599 | 6 |
| 5192 | 50627 | 28 |
| 5193 | 50647 | 20 |
Questions
What is the 5190th prime number?
50593.
Which prime number is 50593?
50593 is the 5190th prime number.
What is the sum of the first 5190 primes?
123,880,163.