What is the 1164th prime number?
The 1164th prime number is 9413. The next prime is 9419 (a gap of 6) and the one before is 9403.
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 1164th one is 9413.
- 2
9413 is prime because no prime up to ā9413 ā 97.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1164th prime is close to 1164 Ć ln(1164) ā 8217, and here it is 9413.
- 4
9413 has no twin: neither 9411 nor 9415 is prime.
Primes around the 1164th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1161 | 9391 | 14 |
| 1162 | 9397 | 6 |
| 1163 | 9403 | 6 |
| 1164 | 9413 | 10 |
| 1165 | 9419 | 6 |
| 1166 | 9421 | 2 |
| 1167 | 9431 | 10 |
Questions
What is the 1164th prime number?
9413.
Which prime number is 9413?
9413 is the 1164th prime number.
What is the sum of the first 1164 primes?
5,106,425.