What is the 187th prime number?
The 187th prime number is 1117. The next prime is 1123 (a gap of 6) and the one before is 1109.
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 187th one is 1117.
- 2
1117 is prime because no prime up to ā1117 ā 33.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 187th prime is close to 187 Ć ln(187) ā 978, and here it is 1117.
- 4
1117 has no twin: neither 1115 nor 1119 is prime.
Primes around the 187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 184 | 1097 | 4 |
| 185 | 1103 | 6 |
| 186 | 1109 | 6 |
| 187 | 1117 | 8 |
| 188 | 1123 | 6 |
| 189 | 1129 | 6 |
| 190 | 1151 | 22 |
Questions
What is the 187th prime number?
1117.
Which prime number is 1117?
1117 is the 187th prime number.
What is the sum of the first 187 primes?
96,282.