What is the 195th prime number?
The 195th prime number is 1187. The next prime is 1193 (a gap of 6) and the one before is 1181.
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 195th one is 1187.
- 2
1187 is prime because no prime up to ā1187 ā 34.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 195th prime is close to 195 Ć ln(195) ā 1028, and here it is 1187.
- 4
1187 has no twin: neither 1185 nor 1189 is prime.
Primes around the 195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 192 | 1163 | 10 |
| 193 | 1171 | 8 |
| 194 | 1181 | 10 |
| 195 | 1187 | 6 |
| 196 | 1193 | 6 |
| 197 | 1201 | 8 |
| 198 | 1213 | 12 |
Questions
What is the 195th prime number?
1187.
Which prime number is 1187?
1187 is the 195th prime number.
What is the sum of the first 195 primes?
105,540.