What is the 5168th prime number?
The 5168th prime number is 50359. The next prime is 50363 (a gap of 4) and the one before is 50341.
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 5168th one is 50359.
- 2
50359 is prime because no prime up to ā50359 ā 224.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5168th prime is close to 5168 Ć ln(5168) ā 44188, and here it is 50359.
- 4
50359 has no twin: neither 50357 nor 50361 is prime.
Primes around the 5168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5165 | 50329 | 8 |
| 5166 | 50333 | 4 |
| 5167 | 50341 | 8 |
| 5168 | 50359 | 18 |
| 5169 | 50363 | 4 |
| 5170 | 50377 | 14 |
| 5171 | 50383 | 6 |
Questions
What is the 5168th prime number?
50359.
Which prime number is 50359?
50359 is the 5168th prime number.
What is the sum of the first 5168 primes?
122,769,467.