What is the 194th prime number?
The 194th prime number is 1181. The next prime is 1187 (a gap of 6) and the one before is 1171.
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 194th one is 1181.
- 2
1181 is prime because no prime up to ā1181 ā 34.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 194th prime is close to 194 Ć ln(194) ā 1022, and here it is 1181.
- 4
1181 has no twin: neither 1179 nor 1183 is prime.
Primes around the 194th
| Position | Prime | Gap from the previous |
|---|---|---|
| 191 | 1153 | 2 |
| 192 | 1163 | 10 |
| 193 | 1171 | 8 |
| 194 | 1181 | 10 |
| 195 | 1187 | 6 |
| 196 | 1193 | 6 |
| 197 | 1201 | 8 |
Questions
What is the 194th prime number?
1181.
Which prime number is 1181?
1181 is the 194th prime number.
What is the sum of the first 194 primes?
104,353.