What is the 5143rd prime number?
The 5143rd prime number is 50093. The next prime is 50101 (a gap of 8) and the one before is 50087.
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 5143rd one is 50093.
- 2
50093 is prime because no prime up to ā50093 ā 223.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5143rd prime is close to 5143 Ć ln(5143) ā 43949, and here it is 50093.
- 4
50093 has no twin: neither 50091 nor 50095 is prime.
Primes around the 5143rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5140 | 50069 | 16 |
| 5141 | 50077 | 8 |
| 5142 | 50087 | 10 |
| 5143 | 50093 | 6 |
| 5144 | 50101 | 8 |
| 5145 | 50111 | 10 |
| 5146 | 50119 | 8 |
Questions
What is the 5143rd prime number?
50093.
Which prime number is 50093?
50093 is the 5143rd prime number.
What is the sum of the first 5143 primes?
121,513,862.