What is the 1415th prime number?
The 1415th prime number is 11807. The next prime is 11813 (a gap of 6) and the one before is 11801.
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 1415th one is 11807.
- 2
11807 is prime because no prime up to ā11807 ā 108.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1415th prime is close to 1415 Ć ln(1415) ā 10266, and here it is 11807.
- 4
11807 has no twin: neither 11805 nor 11809 is prime.
Primes around the 1415th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1412 | 11783 | 4 |
| 1413 | 11789 | 6 |
| 1414 | 11801 | 12 |
| 1415 | 11807 | 6 |
| 1416 | 11813 | 6 |
| 1417 | 11821 | 8 |
| 1418 | 11827 | 6 |
Questions
What is the 1415th prime number?
11807.
Which prime number is 11807?
11807 is the 1415th prime number.
What is the sum of the first 1415 primes?
7,760,662.