What is the 1441st prime number?
The 1441st prime number is 12037. The next prime is 12041 (a gap of 4) and the one before is 12011.
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 1441st one is 12037.
- 2
12037 is prime because no prime up to ā12037 ā 109.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1441st prime is close to 1441 Ć ln(1441) ā 10481, and here it is 12037.
- 4
12037 has no twin: neither 12035 nor 12039 is prime.
Primes around the 1441st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1438 | 11987 | 6 |
| 1439 | 12007 | 20 |
| 1440 | 12011 | 4 |
| 1441 | 12037 | 26 |
| 1442 | 12041 | 4 |
| 1443 | 12043 | 2 |
| 1444 | 12049 | 6 |
Questions
What is the 1441st prime number?
12037.
Which prime number is 12037?
12037 is the 1441st prime number.
What is the sum of the first 1441 primes?
8,070,490.