What is the 5177th prime number?
The 5177th prime number is 50459. The next prime is 50461 (a gap of 2) and the one before is 50441.
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 5177th one is 50459.
- 2
50459 is prime because no prime up to ā50459 ā 224.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5177th prime is close to 5177 Ć ln(5177) ā 44274, and here it is 50459.
- 4
50459 is a twin prime: 50459 and 50461 are both prime.
Primes around the 5177th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5174 | 50417 | 6 |
| 5175 | 50423 | 6 |
| 5176 | 50441 | 18 |
| 5177 | 50459 | 18 |
| 5178 | 50461 | 2 |
| 5179 | 50497 | 36 |
| 5180 | 50503 | 6 |
Questions
What is the 5177th prime number?
50459.
Which prime number is 50459?
50459 is the 5177th prime number.
What is the sum of the first 5177 primes?
123,223,128.