What is the 5161st prime number?
The 5161st prime number is 50287. The next prime is 50291 (a gap of 4) and the one before is 50273.
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 5161st one is 50287.
- 2
50287 is prime because no prime up to ā50287 ā 224.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5161st prime is close to 5161 Ć ln(5161) ā 44121, and here it is 50287.
- 4
50287 has no twin: neither 50285 nor 50289 is prime.
Primes around the 5161st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5158 | 50261 | 30 |
| 5159 | 50263 | 2 |
| 5160 | 50273 | 10 |
| 5161 | 50287 | 14 |
| 5162 | 50291 | 4 |
| 5163 | 50311 | 20 |
| 5164 | 50321 | 10 |
Questions
What is the 5161st prime number?
50287.
Which prime number is 50287?
50287 is the 5161st prime number.
What is the sum of the first 5161 primes?
122,417,182.