What is the 5179th prime number?
The 5179th prime number is 50497. The next prime is 50503 (a gap of 6) and the one before is 50461.
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 5179th one is 50497.
- 2
50497 is prime because no prime up to ā50497 ā 224.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5179th prime is close to 5179 Ć ln(5179) ā 44293, and here it is 50497.
- 4
50497 has no twin: neither 50495 nor 50499 is prime.
Primes around the 5179th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5176 | 50441 | 18 |
| 5177 | 50459 | 18 |
| 5178 | 50461 | 2 |
| 5179 | 50497 | 36 |
| 5180 | 50503 | 6 |
| 5181 | 50513 | 10 |
| 5182 | 50527 | 14 |
Questions
What is the 5179th prime number?
50497.
Which prime number is 50497?
50497 is the 5179th prime number.
What is the sum of the first 5179 primes?
123,324,086.