What is the 5193rd prime number?
The 5193rd prime number is 50647. The next prime is 50651 (a gap of 4) and the one before is 50627.
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 5193rd one is 50647.
- 2
50647 is prime because no prime up to ā50647 ā 225.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5193rd prime is close to 5193 Ć ln(5193) ā 44426, and here it is 50647.
- 4
50647 has no twin: neither 50645 nor 50649 is prime.
Primes around the 5193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5190 | 50593 | 2 |
| 5191 | 50599 | 6 |
| 5192 | 50627 | 28 |
| 5193 | 50647 | 20 |
| 5194 | 50651 | 4 |
| 5195 | 50671 | 20 |
| 5196 | 50683 | 12 |
Questions
What is the 5193rd prime number?
50647.
Which prime number is 50647?
50647 is the 5193rd prime number.
What is the sum of the first 5193 primes?
124,032,036.