What is the 1450th prime number?
The 1450th prime number is 12109. The next prime is 12113 (a gap of 4) and the one before is 12107.
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 1450th one is 12109.
- 2
12109 is prime because no prime up to ā12109 ā 110.04 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1450th prime is close to 1450 Ć ln(1450) ā 10555, and here it is 12109.
- 4
12109 is a twin prime: 12107 and 12109 are both prime.
Primes around the 1450th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1447 | 12097 | 24 |
| 1448 | 12101 | 4 |
| 1449 | 12107 | 6 |
| 1450 | 12109 | 2 |
| 1451 | 12113 | 4 |
| 1452 | 12119 | 6 |
| 1453 | 12143 | 24 |
Questions
What is the 1450th prime number?
12109.
Which prime number is 12109?
12109 is the 1450th prime number.
What is the sum of the first 1450 primes?
8,179,181.