What is the 1192nd prime number?
The 1192nd prime number is 9649. The next prime is 9661 (a gap of 12) and the one before is 9643.
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 1192nd one is 9649.
- 2
9649 is prime because no prime up to ā9649 ā 98.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1192nd prime is close to 1192 Ć ln(1192) ā 8443, and here it is 9649.
- 4
9649 has no twin: neither 9647 nor 9651 is prime.
Primes around the 1192nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1189 | 9629 | 6 |
| 1190 | 9631 | 2 |
| 1191 | 9643 | 12 |
| 1192 | 9649 | 6 |
| 1193 | 9661 | 12 |
| 1194 | 9677 | 16 |
| 1195 | 9679 | 2 |
Questions
What is the 1192nd prime number?
9649.
Which prime number is 9649?
9649 is the 1192nd prime number.
What is the sum of the first 1192 primes?
5,373,133.