What is the 185th prime number?
The 185th prime number is 1103. The next prime is 1109 (a gap of 6) and the one before is 1097.
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 185th one is 1103.
- 2
1103 is prime because no prime up to ā1103 ā 33.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 185th prime is close to 185 Ć ln(185) ā 966, and here it is 1103.
- 4
1103 has no twin: neither 1101 nor 1105 is prime.
Primes around the 185th
| Position | Prime | Gap from the previous |
|---|---|---|
| 182 | 1091 | 4 |
| 183 | 1093 | 2 |
| 184 | 1097 | 4 |
| 185 | 1103 | 6 |
| 186 | 1109 | 6 |
| 187 | 1117 | 8 |
| 188 | 1123 | 6 |
Questions
What is the 185th prime number?
1103.
Which prime number is 1103?
1103 is the 185th prime number.
What is the sum of the first 185 primes?
94,056.