What is the 196th prime number?
The 196th prime number is 1193. The next prime is 1201 (a gap of 8) and the one before is 1187.
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 196th one is 1193.
- 2
1193 is prime because no prime up to ā1193 ā 34.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 196th prime is close to 196 Ć ln(196) ā 1035, and here it is 1193.
- 4
1193 has no twin: neither 1191 nor 1195 is prime.
Primes around the 196th
| Position | Prime | Gap from the previous |
|---|---|---|
| 193 | 1171 | 8 |
| 194 | 1181 | 10 |
| 195 | 1187 | 6 |
| 196 | 1193 | 6 |
| 197 | 1201 | 8 |
| 198 | 1213 | 12 |
| 199 | 1217 | 4 |
Questions
What is the 196th prime number?
1193.
Which prime number is 1193?
1193 is the 196th prime number.
What is the sum of the first 196 primes?
106,733.