What is the 1442nd prime number?
The 1442nd prime number is 12041. The next prime is 12043 (a gap of 2) and the one before is 12037.
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 1442nd one is 12041.
- 2
12041 is prime because no prime up to ā12041 ā 109.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1442nd prime is close to 1442 Ć ln(1442) ā 10489, and here it is 12041.
- 4
12041 is a twin prime: 12041 and 12043 are both prime.
Primes around the 1442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1439 | 12007 | 20 |
| 1440 | 12011 | 4 |
| 1441 | 12037 | 26 |
| 1442 | 12041 | 4 |
| 1443 | 12043 | 2 |
| 1444 | 12049 | 6 |
| 1445 | 12071 | 22 |
Questions
What is the 1442nd prime number?
12041.
Which prime number is 12041?
12041 is the 1442nd prime number.
What is the sum of the first 1442 primes?
8,082,531.