What is the 5146th prime number?
The 5146th prime number is 50119. The next prime is 50123 (a gap of 4) and the one before is 50111.
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 5146th one is 50119.
- 2
50119 is prime because no prime up to ā50119 ā 223.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5146th prime is close to 5146 Ć ln(5146) ā 43978, and here it is 50119.
- 4
50119 has no twin: neither 50117 nor 50121 is prime.
Primes around the 5146th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5143 | 50093 | 6 |
| 5144 | 50101 | 8 |
| 5145 | 50111 | 10 |
| 5146 | 50119 | 8 |
| 5147 | 50123 | 4 |
| 5148 | 50129 | 6 |
| 5149 | 50131 | 2 |
Questions
What is the 5146th prime number?
50119.
Which prime number is 50119?
50119 is the 5146th prime number.
What is the sum of the first 5146 primes?
121,664,193.