What is the 1414th prime number?
The 1414th prime number is 11801. The next prime is 11807 (a gap of 6) and the one before is 11789.
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 1414th one is 11801.
- 2
11801 is prime because no prime up to ā11801 ā 108.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1414th prime is close to 1414 Ć ln(1414) ā 10257, and here it is 11801.
- 4
11801 has no twin: neither 11799 nor 11803 is prime.
Primes around the 1414th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1411 | 11779 | 2 |
| 1412 | 11783 | 4 |
| 1413 | 11789 | 6 |
| 1414 | 11801 | 12 |
| 1415 | 11807 | 6 |
| 1416 | 11813 | 6 |
| 1417 | 11821 | 8 |
Questions
What is the 1414th prime number?
11801.
Which prime number is 11801?
11801 is the 1414th prime number.
What is the sum of the first 1414 primes?
7,748,855.