What is the 1403rd prime number?
The 1403rd prime number is 11689. The next prime is 11699 (a gap of 10) and the one before is 11681.
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 1403rd one is 11689.
- 2
11689 is prime because no prime up to ā11689 ā 108.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1403rd prime is close to 1403 Ć ln(1403) ā 10167, and here it is 11689.
- 4
11689 has no twin: neither 11687 nor 11691 is prime.
Primes around the 1403rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1400 | 11657 | 24 |
| 1401 | 11677 | 20 |
| 1402 | 11681 | 4 |
| 1403 | 11689 | 8 |
| 1404 | 11699 | 10 |
| 1405 | 11701 | 2 |
| 1406 | 11717 | 16 |
Questions
What is the 1403rd prime number?
11689.
Which prime number is 11689?
11689 is the 1403rd prime number.
What is the sum of the first 1403 primes?
7,619,616.