What is the 1446th prime number?
The 1446th prime number is 12073. The next prime is 12097 (a gap of 24) and the one before is 12071.
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 1446th one is 12073.
- 2
12073 is prime because no prime up to ā12073 ā 109.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1446th prime is close to 1446 Ć ln(1446) ā 10522, and here it is 12073.
- 4
12073 is a twin prime: 12071 and 12073 are both prime.
Primes around the 1446th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1443 | 12043 | 2 |
| 1444 | 12049 | 6 |
| 1445 | 12071 | 22 |
| 1446 | 12073 | 2 |
| 1447 | 12097 | 24 |
| 1448 | 12101 | 4 |
| 1449 | 12107 | 6 |
Questions
What is the 1446th prime number?
12073.
Which prime number is 12073?
12073 is the 1446th prime number.
What is the sum of the first 1446 primes?
8,130,767.