What is the 5176th prime number?
The 5176th prime number is 50441. The next prime is 50459 (a gap of 18) and the one before is 50423.
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 5176th one is 50441.
- 2
50441 is prime because no prime up to ā50441 ā 224.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5176th prime is close to 5176 Ć ln(5176) ā 44264, and here it is 50441.
- 4
50441 has no twin: neither 50439 nor 50443 is prime.
Primes around the 5176th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5173 | 50411 | 24 |
| 5174 | 50417 | 6 |
| 5175 | 50423 | 6 |
| 5176 | 50441 | 18 |
| 5177 | 50459 | 18 |
| 5178 | 50461 | 2 |
| 5179 | 50497 | 36 |
Questions
What is the 5176th prime number?
50441.
Which prime number is 50441?
50441 is the 5176th prime number.
What is the sum of the first 5176 primes?
123,172,669.