What is the 5191st prime number?
The 5191st prime number is 50599. The next prime is 50627 (a gap of 28) and the one before is 50593.
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 5191st one is 50599.
- 2
50599 is prime because no prime up to ā50599 ā 224.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5191st prime is close to 5191 Ć ln(5191) ā 44407, and here it is 50599.
- 4
50599 has no twin: neither 50597 nor 50601 is prime.
Primes around the 5191st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5188 | 50587 | 6 |
| 5189 | 50591 | 4 |
| 5190 | 50593 | 2 |
| 5191 | 50599 | 6 |
| 5192 | 50627 | 28 |
| 5193 | 50647 | 20 |
| 5194 | 50651 | 4 |
Questions
What is the 5191st prime number?
50599.
Which prime number is 50599?
50599 is the 5191st prime number.
What is the sum of the first 5191 primes?
123,930,762.