What is the 1411th prime number?
The 1411th prime number is 11779. The next prime is 11783 (a gap of 4) and the one before is 11777.
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 1411th one is 11779.
- 2
11779 is prime because no prime up to ā11779 ā 108.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1411th prime is close to 1411 Ć ln(1411) ā 10233, and here it is 11779.
- 4
11779 is a twin prime: 11777 and 11779 are both prime.
Primes around the 1411th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1408 | 11731 | 12 |
| 1409 | 11743 | 12 |
| 1410 | 11777 | 34 |
| 1411 | 11779 | 2 |
| 1412 | 11783 | 4 |
| 1413 | 11789 | 6 |
| 1414 | 11801 | 12 |
Questions
What is the 1411th prime number?
11779.
Which prime number is 11779?
11779 is the 1411th prime number.
What is the sum of the first 1411 primes?
7,713,482.