What is the 5163rd prime number?
The 5163rd prime number is 50311. The next prime is 50321 (a gap of 10) and the one before is 50291.
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 5163rd one is 50311.
- 2
50311 is prime because no prime up to ā50311 ā 224.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5163rd prime is close to 5163 Ć ln(5163) ā 44140, and here it is 50311.
- 4
50311 has no twin: neither 50309 nor 50313 is prime.
Primes around the 5163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5160 | 50273 | 10 |
| 5161 | 50287 | 14 |
| 5162 | 50291 | 4 |
| 5163 | 50311 | 20 |
| 5164 | 50321 | 10 |
| 5165 | 50329 | 8 |
| 5166 | 50333 | 4 |
Questions
What is the 5163rd prime number?
50311.
Which prime number is 50311?
50311 is the 5163rd prime number.
What is the sum of the first 5163 primes?
122,517,784.