What is the 1416th prime number?
The 1416th prime number is 11813. The next prime is 11821 (a gap of 8) and the one before is 11807.
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 1416th one is 11813.
- 2
11813 is prime because no prime up to ā11813 ā 108.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1416th prime is close to 1416 Ć ln(1416) ā 10274, and here it is 11813.
- 4
11813 has no twin: neither 11811 nor 11815 is prime.
Primes around the 1416th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1413 | 11789 | 6 |
| 1414 | 11801 | 12 |
| 1415 | 11807 | 6 |
| 1416 | 11813 | 6 |
| 1417 | 11821 | 8 |
| 1418 | 11827 | 6 |
| 1419 | 11831 | 4 |
Questions
What is the 1416th prime number?
11813.
Which prime number is 11813?
11813 is the 1416th prime number.
What is the sum of the first 1416 primes?
7,772,475.