What is the 184th prime number?
The 184th prime number is 1097. The next prime is 1103 (a gap of 6) and the one before is 1093.
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 184th one is 1097.
- 2
1097 is prime because no prime up to ā1097 ā 33.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 184th prime is close to 184 Ć ln(184) ā 960, and here it is 1097.
- 4
1097 has no twin: neither 1095 nor 1099 is prime.
Primes around the 184th
| Position | Prime | Gap from the previous |
|---|---|---|
| 181 | 1087 | 18 |
| 182 | 1091 | 4 |
| 183 | 1093 | 2 |
| 184 | 1097 | 4 |
| 185 | 1103 | 6 |
| 186 | 1109 | 6 |
| 187 | 1117 | 8 |
Questions
What is the 184th prime number?
1097.
Which prime number is 1097?
1097 is the 184th prime number.
What is the sum of the first 184 primes?
92,953.