What is the 189th prime number?
The 189th prime number is 1129. The next prime is 1151 (a gap of 22) and the one before is 1123.
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 189th one is 1129.
- 2
1129 is prime because no prime up to ā1129 ā 33.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 189th prime is close to 189 Ć ln(189) ā 991, and here it is 1129.
- 4
1129 has no twin: neither 1127 nor 1131 is prime.
Primes around the 189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 186 | 1109 | 6 |
| 187 | 1117 | 8 |
| 188 | 1123 | 6 |
| 189 | 1129 | 6 |
| 190 | 1151 | 22 |
| 191 | 1153 | 2 |
| 192 | 1163 | 10 |
Questions
What is the 189th prime number?
1129.
Which prime number is 1129?
1129 is the 189th prime number.
What is the sum of the first 189 primes?
98,534.