What is the 2233rd prime number?
The 2233rd prime number is 19727. The next prime is 19739 (a gap of 12) and the one before is 19717.
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 2233rd one is 19727.
- 2
19727 is prime because no prime up to ā19727 ā 140.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2233rd prime is close to 2233 Ć ln(2233) ā 17219, and here it is 19727.
- 4
19727 has no twin: neither 19725 nor 19729 is prime.
Primes around the 2233rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2230 | 19699 | 2 |
| 2231 | 19709 | 10 |
| 2232 | 19717 | 8 |
| 2233 | 19727 | 10 |
| 2234 | 19739 | 12 |
| 2235 | 19751 | 12 |
| 2236 | 19753 | 2 |
Questions
What is the 2233rd prime number?
19727.
Which prime number is 19727?
19727 is the 2233rd prime number.
What is the sum of the first 2233 primes?
20,594,876.