What is the 5127th prime number?
The 5127th prime number is 49937. The next prime is 49939 (a gap of 2) and the one before is 49927.
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 5127th one is 49937.
- 2
49937 is prime because no prime up to ā49937 ā 223.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5127th prime is close to 5127 Ć ln(5127) ā 43796, and here it is 49937.
- 4
49937 is a twin prime: 49937 and 49939 are both prime.
Primes around the 5127th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5124 | 49919 | 28 |
| 5125 | 49921 | 2 |
| 5126 | 49927 | 6 |
| 5127 | 49937 | 10 |
| 5128 | 49939 | 2 |
| 5129 | 49943 | 4 |
| 5130 | 49957 | 14 |
Questions
What is the 5127th prime number?
49937.
Which prime number is 49937?
49937 is the 5127th prime number.
What is the sum of the first 5127 primes?
120,713,486.