What is the 5174th prime number?
The 5174th prime number is 50417. The next prime is 50423 (a gap of 6) and the one before is 50411.
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 5174th one is 50417.
- 2
50417 is prime because no prime up to ā50417 ā 224.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5174th prime is close to 5174 Ć ln(5174) ā 44245, and here it is 50417.
- 4
50417 has no twin: neither 50415 nor 50419 is prime.
Primes around the 5174th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5171 | 50383 | 6 |
| 5172 | 50387 | 4 |
| 5173 | 50411 | 24 |
| 5174 | 50417 | 6 |
| 5175 | 50423 | 6 |
| 5176 | 50441 | 18 |
| 5177 | 50459 | 18 |
Questions
What is the 5174th prime number?
50417.
Which prime number is 50417?
50417 is the 5174th prime number.
What is the sum of the first 5174 primes?
123,071,805.