What is the 1449th prime number?
The 1449th prime number is 12107. The next prime is 12109 (a gap of 2) and the one before is 12101.
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 1449th one is 12107.
- 2
12107 is prime because no prime up to ā12107 ā 110.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1449th prime is close to 1449 Ć ln(1449) ā 10547, and here it is 12107.
- 4
12107 is a twin prime: 12107 and 12109 are both prime.
Primes around the 1449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1446 | 12073 | 2 |
| 1447 | 12097 | 24 |
| 1448 | 12101 | 4 |
| 1449 | 12107 | 6 |
| 1450 | 12109 | 2 |
| 1451 | 12113 | 4 |
| 1452 | 12119 | 6 |
Questions
What is the 1449th prime number?
12107.
Which prime number is 12107?
12107 is the 1449th prime number.
What is the sum of the first 1449 primes?
8,167,072.