What is the 1412th prime number?
The 1412th prime number is 11783. The next prime is 11789 (a gap of 6) and the one before is 11779.
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 1412th one is 11783.
- 2
11783 is prime because no prime up to ā11783 ā 108.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1412th prime is close to 1412 Ć ln(1412) ā 10241, and here it is 11783.
- 4
11783 has no twin: neither 11781 nor 11785 is prime.
Primes around the 1412th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1409 | 11743 | 12 |
| 1410 | 11777 | 34 |
| 1411 | 11779 | 2 |
| 1412 | 11783 | 4 |
| 1413 | 11789 | 6 |
| 1414 | 11801 | 12 |
| 1415 | 11807 | 6 |
Questions
What is the 1412th prime number?
11783.
Which prime number is 11783?
11783 is the 1412th prime number.
What is the sum of the first 1412 primes?
7,725,265.