What is the 5192nd prime number?
The 5192nd prime number is 50627. The next prime is 50647 (a gap of 20) and the one before is 50599.
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 5192nd one is 50627.
- 2
50627 is prime because no prime up to ā50627 ā 225.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5192nd prime is close to 5192 Ć ln(5192) ā 44417, and here it is 50627.
- 4
50627 has no twin: neither 50625 nor 50629 is prime.
Primes around the 5192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5189 | 50591 | 4 |
| 5190 | 50593 | 2 |
| 5191 | 50599 | 6 |
| 5192 | 50627 | 28 |
| 5193 | 50647 | 20 |
| 5194 | 50651 | 4 |
| 5195 | 50671 | 20 |
Questions
What is the 5192nd prime number?
50627.
Which prime number is 50627?
50627 is the 5192nd prime number.
What is the sum of the first 5192 primes?
123,981,389.