What is the 1243rd prime number?
The 1243rd prime number is 10133. The next prime is 10139 (a gap of 6) and the one before is 10111.
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 1243rd one is 10133.
- 2
10133 is prime because no prime up to ā10133 ā 100.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1243rd prime is close to 1243 Ć ln(1243) ā 8857, and here it is 10133.
- 4
10133 has no twin: neither 10131 nor 10135 is prime.
Primes around the 1243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1240 | 10099 | 6 |
| 1241 | 10103 | 4 |
| 1242 | 10111 | 8 |
| 1243 | 10133 | 22 |
| 1244 | 10139 | 6 |
| 1245 | 10141 | 2 |
| 1246 | 10151 | 10 |
Questions
What is the 1243rd prime number?
10133.
Which prime number is 10133?
10133 is the 1243rd prime number.
What is the sum of the first 1243 primes?
5,877,394.