What is the 186th prime number?
The 186th prime number is 1109. The next prime is 1117 (a gap of 8) and the one before is 1103.
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 186th one is 1109.
- 2
1109 is prime because no prime up to ā1109 ā 33.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 186th prime is close to 186 Ć ln(186) ā 972, and here it is 1109.
- 4
1109 has no twin: neither 1107 nor 1111 is prime.
Primes around the 186th
| Position | Prime | Gap from the previous |
|---|---|---|
| 183 | 1093 | 2 |
| 184 | 1097 | 4 |
| 185 | 1103 | 6 |
| 186 | 1109 | 6 |
| 187 | 1117 | 8 |
| 188 | 1123 | 6 |
| 189 | 1129 | 6 |
Questions
What is the 186th prime number?
1109.
Which prime number is 1109?
1109 is the 186th prime number.
What is the sum of the first 186 primes?
95,165.