What is the 1440th prime number?
The 1440th prime number is 12011. The next prime is 12037 (a gap of 26) and the one before is 12007.
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 1440th one is 12011.
- 2
12011 is prime because no prime up to ā12011 ā 109.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1440th prime is close to 1440 Ć ln(1440) ā 10472, and here it is 12011.
- 4
12011 has no twin: neither 12009 nor 12013 is prime.
Primes around the 1440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1437 | 11981 | 10 |
| 1438 | 11987 | 6 |
| 1439 | 12007 | 20 |
| 1440 | 12011 | 4 |
| 1441 | 12037 | 26 |
| 1442 | 12041 | 4 |
| 1443 | 12043 | 2 |
Questions
What is the 1440th prime number?
12011.
Which prime number is 12011?
12011 is the 1440th prime number.
What is the sum of the first 1440 primes?
8,058,453.