What is the 1409th prime number?
The 1409th prime number is 11743. The next prime is 11777 (a gap of 34) and the one before is 11731.
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 1409th one is 11743.
- 2
11743 is prime because no prime up to ā11743 ā 108.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1409th prime is close to 1409 Ć ln(1409) ā 10216, and here it is 11743.
- 4
11743 has no twin: neither 11741 nor 11745 is prime.
Primes around the 1409th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1406 | 11717 | 16 |
| 1407 | 11719 | 2 |
| 1408 | 11731 | 12 |
| 1409 | 11743 | 12 |
| 1410 | 11777 | 34 |
| 1411 | 11779 | 2 |
| 1412 | 11783 | 4 |
Questions
What is the 1409th prime number?
11743.
Which prime number is 11743?
11743 is the 1409th prime number.
What is the sum of the first 1409 primes?
7,689,926.