What is the 5126th prime number?
The 5126th prime number is 49927. The next prime is 49937 (a gap of 10) and the one before is 49921.
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 5126th one is 49927.
- 2
49927 is prime because no prime up to ā49927 ā 223.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5126th prime is close to 5126 Ć ln(5126) ā 43787, and here it is 49927.
- 4
49927 has no twin: neither 49925 nor 49929 is prime.
Primes around the 5126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5123 | 49891 | 14 |
| 5124 | 49919 | 28 |
| 5125 | 49921 | 2 |
| 5126 | 49927 | 6 |
| 5127 | 49937 | 10 |
| 5128 | 49939 | 2 |
| 5129 | 49943 | 4 |
Questions
What is the 5126th prime number?
49927.
Which prime number is 49927?
49927 is the 5126th prime number.
What is the sum of the first 5126 primes?
120,663,549.