What is the 5175th prime number?
The 5175th prime number is 50423. The next prime is 50441 (a gap of 18) and the one before is 50417.
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 5175th one is 50423.
- 2
50423 is prime because no prime up to ā50423 ā 224.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5175th prime is close to 5175 Ć ln(5175) ā 44255, and here it is 50423.
- 4
50423 has no twin: neither 50421 nor 50425 is prime.
Primes around the 5175th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5172 | 50387 | 4 |
| 5173 | 50411 | 24 |
| 5174 | 50417 | 6 |
| 5175 | 50423 | 6 |
| 5176 | 50441 | 18 |
| 5177 | 50459 | 18 |
| 5178 | 50461 | 2 |
Questions
What is the 5175th prime number?
50423.
Which prime number is 50423?
50423 is the 5175th prime number.
What is the sum of the first 5175 primes?
123,122,228.