What is the 1188th prime number?
The 1188th prime number is 9623. The next prime is 9629 (a gap of 6) and the one before is 9619.
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 1188th one is 9623.
- 2
9623 is prime because no prime up to ā9623 ā 98.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1188th prime is close to 1188 Ć ln(1188) ā 8411, and here it is 9623.
- 4
9623 has no twin: neither 9621 nor 9625 is prime.
Primes around the 1188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1185 | 9601 | 14 |
| 1186 | 9613 | 12 |
| 1187 | 9619 | 6 |
| 1188 | 9623 | 4 |
| 1189 | 9629 | 6 |
| 1190 | 9631 | 2 |
| 1191 | 9643 | 12 |
Questions
What is the 1188th prime number?
9623.
Which prime number is 9623?
9623 is the 1188th prime number.
What is the sum of the first 1188 primes?
5,334,581.