What is the 5124th prime number?
The 5124th prime number is 49919. The next prime is 49921 (a gap of 2) and the one before is 49891.
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 5124th one is 49919.
- 2
49919 is prime because no prime up to ā49919 ā 223.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5124th prime is close to 5124 Ć ln(5124) ā 43768, and here it is 49919.
- 4
49919 is a twin prime: 49919 and 49921 are both prime.
Primes around the 5124th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5121 | 49871 | 18 |
| 5122 | 49877 | 6 |
| 5123 | 49891 | 14 |
| 5124 | 49919 | 28 |
| 5125 | 49921 | 2 |
| 5126 | 49927 | 6 |
| 5127 | 49937 | 10 |
Questions
What is the 5124th prime number?
49919.
Which prime number is 49919?
49919 is the 5124th prime number.
What is the sum of the first 5124 primes?
120,563,701.