What is the 5178th prime number?
The 5178th prime number is 50461. The next prime is 50497 (a gap of 36) and the one before is 50459.
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 5178th one is 50461.
- 2
50461 is prime because no prime up to ā50461 ā 224.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5178th prime is close to 5178 Ć ln(5178) ā 44283, and here it is 50461.
- 4
50461 is a twin prime: 50459 and 50461 are both prime.
Primes around the 5178th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5175 | 50423 | 6 |
| 5176 | 50441 | 18 |
| 5177 | 50459 | 18 |
| 5178 | 50461 | 2 |
| 5179 | 50497 | 36 |
| 5180 | 50503 | 6 |
| 5181 | 50513 | 10 |
Questions
What is the 5178th prime number?
50461.
Which prime number is 50461?
50461 is the 5178th prime number.
What is the sum of the first 5178 primes?
123,273,589.