What is the 1444th prime number?
The 1444th prime number is 12049. The next prime is 12071 (a gap of 22) and the one before is 12043.
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 1444th one is 12049.
- 2
12049 is prime because no prime up to ā12049 ā 109.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1444th prime is close to 1444 Ć ln(1444) ā 10505, and here it is 12049.
- 4
12049 has no twin: neither 12047 nor 12051 is prime.
Primes around the 1444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1441 | 12037 | 26 |
| 1442 | 12041 | 4 |
| 1443 | 12043 | 2 |
| 1444 | 12049 | 6 |
| 1445 | 12071 | 22 |
| 1446 | 12073 | 2 |
| 1447 | 12097 | 24 |
Questions
What is the 1444th prime number?
12049.
Which prime number is 12049?
12049 is the 1444th prime number.
What is the sum of the first 1444 primes?
8,106,623.