What is the 1447th prime number?
The 1447th prime number is 12097. The next prime is 12101 (a gap of 4) and the one before is 12073.
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 1447th one is 12097.
- 2
12097 is prime because no prime up to ā12097 ā 109.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1447th prime is close to 1447 Ć ln(1447) ā 10530, and here it is 12097.
- 4
12097 has no twin: neither 12095 nor 12099 is prime.
Primes around the 1447th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1444 | 12049 | 6 |
| 1445 | 12071 | 22 |
| 1446 | 12073 | 2 |
| 1447 | 12097 | 24 |
| 1448 | 12101 | 4 |
| 1449 | 12107 | 6 |
| 1450 | 12109 | 2 |
Questions
What is the 1447th prime number?
12097.
Which prime number is 12097?
12097 is the 1447th prime number.
What is the sum of the first 1447 primes?
8,142,864.