What is the 5180th prime number?
The 5180th prime number is 50503. The next prime is 50513 (a gap of 10) and the one before is 50497.
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 5180th one is 50503.
- 2
50503 is prime because no prime up to ā50503 ā 224.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5180th prime is close to 5180 Ć ln(5180) ā 44302, and here it is 50503.
- 4
50503 has no twin: neither 50501 nor 50505 is prime.
Primes around the 5180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5177 | 50459 | 18 |
| 5178 | 50461 | 2 |
| 5179 | 50497 | 36 |
| 5180 | 50503 | 6 |
| 5181 | 50513 | 10 |
| 5182 | 50527 | 14 |
| 5183 | 50539 | 12 |
Questions
What is the 5180th prime number?
50503.
Which prime number is 50503?
50503 is the 5180th prime number.
What is the sum of the first 5180 primes?
123,374,589.