What is the 5165th prime number?
The 5165th prime number is 50329. The next prime is 50333 (a gap of 4) and the one before is 50321.
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 5165th one is 50329.
- 2
50329 is prime because no prime up to ā50329 ā 224.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5165th prime is close to 5165 Ć ln(5165) ā 44159, and here it is 50329.
- 4
50329 has no twin: neither 50327 nor 50331 is prime.
Primes around the 5165th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5162 | 50291 | 4 |
| 5163 | 50311 | 20 |
| 5164 | 50321 | 10 |
| 5165 | 50329 | 8 |
| 5166 | 50333 | 4 |
| 5167 | 50341 | 8 |
| 5168 | 50359 | 18 |
Questions
What is the 5165th prime number?
50329.
Which prime number is 50329?
50329 is the 5165th prime number.
What is the sum of the first 5165 primes?
122,618,434.