What is the 5243rd prime number?
The 5243rd prime number is 51239. The next prime is 51241 (a gap of 2) and the one before is 51229.
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 5243rd one is 51239.
- 2
51239 is prime because no prime up to ā51239 ā 226.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5243rd prime is close to 5243 Ć ln(5243) ā 44904, and here it is 51239.
- 4
51239 is a twin prime: 51239 and 51241 are both prime.
Primes around the 5243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5240 | 51203 | 4 |
| 5241 | 51217 | 14 |
| 5242 | 51229 | 12 |
| 5243 | 51239 | 10 |
| 5244 | 51241 | 2 |
| 5245 | 51257 | 16 |
| 5246 | 51263 | 6 |
Questions
What is the 5243rd prime number?
51239.
Which prime number is 51239?
51239 is the 5243rd prime number.
What is the sum of the first 5243 primes?
126,580,162.