What is the 1445th prime number?
The 1445th prime number is 12071. The next prime is 12073 (a gap of 2) and the one before is 12049.
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 1445th one is 12071.
- 2
12071 is prime because no prime up to ā12071 ā 109.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1445th prime is close to 1445 Ć ln(1445) ā 10514, and here it is 12071.
- 4
12071 is a twin prime: 12071 and 12073 are both prime.
Primes around the 1445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1442 | 12041 | 4 |
| 1443 | 12043 | 2 |
| 1444 | 12049 | 6 |
| 1445 | 12071 | 22 |
| 1446 | 12073 | 2 |
| 1447 | 12097 | 24 |
| 1448 | 12101 | 4 |
Questions
What is the 1445th prime number?
12071.
Which prime number is 12071?
12071 is the 1445th prime number.
What is the sum of the first 1445 primes?
8,118,694.