What is the 1443rd prime number?
The 1443rd prime number is 12043. The next prime is 12049 (a gap of 6) and the one before is 12041.
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 1443rd one is 12043.
- 2
12043 is prime because no prime up to ā12043 ā 109.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1443rd prime is close to 1443 Ć ln(1443) ā 10497, and here it is 12043.
- 4
12043 is a twin prime: 12041 and 12043 are both prime.
Primes around the 1443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1440 | 12011 | 4 |
| 1441 | 12037 | 26 |
| 1442 | 12041 | 4 |
| 1443 | 12043 | 2 |
| 1444 | 12049 | 6 |
| 1445 | 12071 | 22 |
| 1446 | 12073 | 2 |
Questions
What is the 1443rd prime number?
12043.
Which prime number is 12043?
12043 is the 1443rd prime number.
What is the sum of the first 1443 primes?
8,094,574.