What is the 5123rd prime number?
The 5123rd prime number is 49891. The next prime is 49919 (a gap of 28) and the one before is 49877.
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 5123rd one is 49891.
- 2
49891 is prime because no prime up to ā49891 ā 223.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5123rd prime is close to 5123 Ć ln(5123) ā 43758, and here it is 49891.
- 4
49891 has no twin: neither 49889 nor 49893 is prime.
Primes around the 5123rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5120 | 49853 | 10 |
| 5121 | 49871 | 18 |
| 5122 | 49877 | 6 |
| 5123 | 49891 | 14 |
| 5124 | 49919 | 28 |
| 5125 | 49921 | 2 |
| 5126 | 49927 | 6 |
Questions
What is the 5123rd prime number?
49891.
Which prime number is 49891?
49891 is the 5123rd prime number.
What is the sum of the first 5123 primes?
120,513,782.