What is the 5148th prime number?
The 5148th prime number is 50129. The next prime is 50131 (a gap of 2) and the one before is 50123.
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 5148th one is 50129.
- 2
50129 is prime because no prime up to ā50129 ā 223.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5148th prime is close to 5148 Ć ln(5148) ā 43997, and here it is 50129.
- 4
50129 is a twin prime: 50129 and 50131 are both prime.
Primes around the 5148th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5145 | 50111 | 10 |
| 5146 | 50119 | 8 |
| 5147 | 50123 | 4 |
| 5148 | 50129 | 6 |
| 5149 | 50131 | 2 |
| 5150 | 50147 | 16 |
| 5151 | 50153 | 6 |
Questions
What is the 5148th prime number?
50129.
Which prime number is 50129?
50129 is the 5148th prime number.
What is the sum of the first 5148 primes?
121,764,445.