What is the 1417th prime number?
The 1417th prime number is 11821. The next prime is 11827 (a gap of 6) and the one before is 11813.
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 1417th one is 11821.
- 2
11821 is prime because no prime up to ā11821 ā 108.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1417th prime is close to 1417 Ć ln(1417) ā 10282, and here it is 11821.
- 4
11821 has no twin: neither 11819 nor 11823 is prime.
Primes around the 1417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1414 | 11801 | 12 |
| 1415 | 11807 | 6 |
| 1416 | 11813 | 6 |
| 1417 | 11821 | 8 |
| 1418 | 11827 | 6 |
| 1419 | 11831 | 4 |
| 1420 | 11833 | 2 |
Questions
What is the 1417th prime number?
11821.
Which prime number is 11821?
11821 is the 1417th prime number.
What is the sum of the first 1417 primes?
7,784,296.