What is the 1413th prime number?
The 1413th prime number is 11789. The next prime is 11801 (a gap of 12) and the one before is 11783.
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 1413th one is 11789.
- 2
11789 is prime because no prime up to ā11789 ā 108.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1413th prime is close to 1413 Ć ln(1413) ā 10249, and here it is 11789.
- 4
11789 has no twin: neither 11787 nor 11791 is prime.
Primes around the 1413th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1410 | 11777 | 34 |
| 1411 | 11779 | 2 |
| 1412 | 11783 | 4 |
| 1413 | 11789 | 6 |
| 1414 | 11801 | 12 |
| 1415 | 11807 | 6 |
| 1416 | 11813 | 6 |
Questions
What is the 1413th prime number?
11789.
Which prime number is 11789?
11789 is the 1413th prime number.
What is the sum of the first 1413 primes?
7,737,054.