What is the 5169th prime number?
The 5169th prime number is 50363. The next prime is 50377 (a gap of 14) and the one before is 50359.
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 5169th one is 50363.
- 2
50363 is prime because no prime up to ā50363 ā 224.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5169th prime is close to 5169 Ć ln(5169) ā 44197, and here it is 50363.
- 4
50363 has no twin: neither 50361 nor 50365 is prime.
Primes around the 5169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5166 | 50333 | 4 |
| 5167 | 50341 | 8 |
| 5168 | 50359 | 18 |
| 5169 | 50363 | 4 |
| 5170 | 50377 | 14 |
| 5171 | 50383 | 6 |
| 5172 | 50387 | 4 |
Questions
What is the 5169th prime number?
50363.
Which prime number is 50363?
50363 is the 5169th prime number.
What is the sum of the first 5169 primes?
122,819,830.