What is the 5125th prime number?
The 5125th prime number is 49921. The next prime is 49927 (a gap of 6) and the one before is 49919.
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 5125th one is 49921.
- 2
49921 is prime because no prime up to ā49921 ā 223.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5125th prime is close to 5125 Ć ln(5125) ā 43777, and here it is 49921.
- 4
49921 is a twin prime: 49919 and 49921 are both prime.
Primes around the 5125th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5122 | 49877 | 6 |
| 5123 | 49891 | 14 |
| 5124 | 49919 | 28 |
| 5125 | 49921 | 2 |
| 5126 | 49927 | 6 |
| 5127 | 49937 | 10 |
| 5128 | 49939 | 2 |
Questions
What is the 5125th prime number?
49921.
Which prime number is 49921?
49921 is the 5125th prime number.
What is the sum of the first 5125 primes?
120,613,622.