What is the 1418th prime number?
The 1418th prime number is 11827. The next prime is 11831 (a gap of 4) and the one before is 11821.
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 1418th one is 11827.
- 2
11827 is prime because no prime up to ā11827 ā 108.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1418th prime is close to 1418 Ć ln(1418) ā 10290, and here it is 11827.
- 4
11827 has no twin: neither 11825 nor 11829 is prime.
Primes around the 1418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1415 | 11807 | 6 |
| 1416 | 11813 | 6 |
| 1417 | 11821 | 8 |
| 1418 | 11827 | 6 |
| 1419 | 11831 | 4 |
| 1420 | 11833 | 2 |
| 1421 | 11839 | 6 |
Questions
What is the 1418th prime number?
11827.
Which prime number is 11827?
11827 is the 1418th prime number.
What is the sum of the first 1418 primes?
7,796,123.