What is the 5198th prime number?
The 5198th prime number is 50723. The next prime is 50741 (a gap of 18) and the one before is 50707.
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 5198th one is 50723.
- 2
50723 is prime because no prime up to ā50723 ā 225.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5198th prime is close to 5198 Ć ln(5198) ā 44474, and here it is 50723.
- 4
50723 has no twin: neither 50721 nor 50725 is prime.
Primes around the 5198th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5195 | 50671 | 20 |
| 5196 | 50683 | 12 |
| 5197 | 50707 | 24 |
| 5198 | 50723 | 16 |
| 5199 | 50741 | 18 |
| 5200 | 50753 | 12 |
| 5201 | 50767 | 14 |
Questions
What is the 5198th prime number?
50723.
Which prime number is 50723?
50723 is the 5198th prime number.
What is the sum of the first 5198 primes?
124,285,471.