What is the 181st prime number?
The 181st prime number is 1087. The next prime is 1091 (a gap of 4) and the one before is 1069.
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 181st one is 1087.
- 2
1087 is prime because no prime up to ā1087 ā 32.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 181st prime is close to 181 Ć ln(181) ā 941, and here it is 1087.
- 4
1087 has no twin: neither 1085 nor 1089 is prime.
Primes around the 181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 178 | 1061 | 10 |
| 179 | 1063 | 2 |
| 180 | 1069 | 6 |
| 181 | 1087 | 18 |
| 182 | 1091 | 4 |
| 183 | 1093 | 2 |
| 184 | 1097 | 4 |
Questions
What is the 181st prime number?
1087.
Which prime number is 1087?
1087 is the 181st prime number.
What is the sum of the first 181 primes?
89,672.