What is the 188th prime number?
The 188th prime number is 1123. The next prime is 1129 (a gap of 6) and the one before is 1117.
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 188th one is 1123.
- 2
1123 is prime because no prime up to ā1123 ā 33.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 188th prime is close to 188 Ć ln(188) ā 984, and here it is 1123.
- 4
1123 has no twin: neither 1121 nor 1125 is prime.
Primes around the 188th
| Position | Prime | Gap from the previous |
|---|---|---|
| 185 | 1103 | 6 |
| 186 | 1109 | 6 |
| 187 | 1117 | 8 |
| 188 | 1123 | 6 |
| 189 | 1129 | 6 |
| 190 | 1151 | 22 |
| 191 | 1153 | 2 |
Questions
What is the 188th prime number?
1123.
Which prime number is 1123?
1123 is the 188th prime number.
What is the sum of the first 188 primes?
97,405.