What is the 2243rd prime number?
The 2243rd prime number is 19819. The next prime is 19841 (a gap of 22) and the one before is 19813.
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 2243rd one is 19819.
- 2
19819 is prime because no prime up to ā19819 ā 140.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2243rd prime is close to 2243 Ć ln(2243) ā 17306, and here it is 19819.
- 4
19819 has no twin: neither 19817 nor 19821 is prime.
Primes around the 2243rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2240 | 19793 | 16 |
| 2241 | 19801 | 8 |
| 2242 | 19813 | 12 |
| 2243 | 19819 | 6 |
| 2244 | 19841 | 22 |
| 2245 | 19843 | 2 |
| 2246 | 19853 | 10 |
Questions
What is the 2243rd prime number?
19819.
Which prime number is 19819?
19819 is the 2243rd prime number.
What is the sum of the first 2243 primes?
20,792,644.