What is the 1439th prime number?
The 1439th prime number is 12007. The next prime is 12011 (a gap of 4) and the one before is 11987.
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 1439th one is 12007.
- 2
12007 is prime because no prime up to ā12007 ā 109.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1439th prime is close to 1439 Ć ln(1439) ā 10464, and here it is 12007.
- 4
12007 has no twin: neither 12005 nor 12009 is prime.
Primes around the 1439th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1436 | 11971 | 2 |
| 1437 | 11981 | 10 |
| 1438 | 11987 | 6 |
| 1439 | 12007 | 20 |
| 1440 | 12011 | 4 |
| 1441 | 12037 | 26 |
| 1442 | 12041 | 4 |
Questions
What is the 1439th prime number?
12007.
Which prime number is 12007?
12007 is the 1439th prime number.
What is the sum of the first 1439 primes?
8,046,442.