What is the 1163rd prime number?
The 1163rd prime number is 9403. The next prime is 9413 (a gap of 10) and the one before is 9397.
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 1163rd one is 9403.
- 2
9403 is prime because no prime up to ā9403 ā 96.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1163rd prime is close to 1163 Ć ln(1163) ā 8209, and here it is 9403.
- 4
9403 has no twin: neither 9401 nor 9405 is prime.
Primes around the 1163rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1160 | 9377 | 6 |
| 1161 | 9391 | 14 |
| 1162 | 9397 | 6 |
| 1163 | 9403 | 6 |
| 1164 | 9413 | 10 |
| 1165 | 9419 | 6 |
| 1166 | 9421 | 2 |
Questions
What is the 1163rd prime number?
9403.
Which prime number is 9403?
9403 is the 1163rd prime number.
What is the sum of the first 1163 primes?
5,097,012.