What is the 5199th prime number?
The 5199th prime number is 50741. The next prime is 50753 (a gap of 12) and the one before is 50723.
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 5199th one is 50741.
- 2
50741 is prime because no prime up to ā50741 ā 225.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5199th prime is close to 5199 Ć ln(5199) ā 44484, and here it is 50741.
- 4
50741 has no twin: neither 50739 nor 50743 is prime.
Primes around the 5199th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5196 | 50683 | 12 |
| 5197 | 50707 | 24 |
| 5198 | 50723 | 16 |
| 5199 | 50741 | 18 |
| 5200 | 50753 | 12 |
| 5201 | 50767 | 14 |
| 5202 | 50773 | 6 |
Questions
What is the 5199th prime number?
50741.
Which prime number is 50741?
50741 is the 5199th prime number.
What is the sum of the first 5199 primes?
124,336,212.