What is the 5164th prime number?
The 5164th prime number is 50321. The next prime is 50329 (a gap of 8) and the one before is 50311.
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 5164th one is 50321.
- 2
50321 is prime because no prime up to ā50321 ā 224.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5164th prime is close to 5164 Ć ln(5164) ā 44149, and here it is 50321.
- 4
50321 has no twin: neither 50319 nor 50323 is prime.
Primes around the 5164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5161 | 50287 | 14 |
| 5162 | 50291 | 4 |
| 5163 | 50311 | 20 |
| 5164 | 50321 | 10 |
| 5165 | 50329 | 8 |
| 5166 | 50333 | 4 |
| 5167 | 50341 | 8 |
Questions
What is the 5164th prime number?
50321.
Which prime number is 50321?
50321 is the 5164th prime number.
What is the sum of the first 5164 primes?
122,568,105.