What is the 5128th prime number?
The 5128th prime number is 49939. The next prime is 49943 (a gap of 4) and the one before is 49937.
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 5128th one is 49939.
- 2
49939 is prime because no prime up to ā49939 ā 223.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5128th prime is close to 5128 Ć ln(5128) ā 43806, and here it is 49939.
- 4
49939 is a twin prime: 49937 and 49939 are both prime.
Primes around the 5128th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5125 | 49921 | 2 |
| 5126 | 49927 | 6 |
| 5127 | 49937 | 10 |
| 5128 | 49939 | 2 |
| 5129 | 49943 | 4 |
| 5130 | 49957 | 14 |
| 5131 | 49991 | 34 |
Questions
What is the 5128th prime number?
49939.
Which prime number is 49939?
49939 is the 5128th prime number.
What is the sum of the first 5128 primes?
120,763,425.