What is the 5162nd prime number?
The 5162nd prime number is 50291. The next prime is 50311 (a gap of 20) and the one before is 50287.
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 5162nd one is 50291.
- 2
50291 is prime because no prime up to ā50291 ā 224.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5162nd prime is close to 5162 Ć ln(5162) ā 44130, and here it is 50291.
- 4
50291 has no twin: neither 50289 nor 50293 is prime.
Primes around the 5162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5159 | 50263 | 2 |
| 5160 | 50273 | 10 |
| 5161 | 50287 | 14 |
| 5162 | 50291 | 4 |
| 5163 | 50311 | 20 |
| 5164 | 50321 | 10 |
| 5165 | 50329 | 8 |
Questions
What is the 5162nd prime number?
50291.
Which prime number is 50291?
50291 is the 5162nd prime number.
What is the sum of the first 5162 primes?
122,467,473.