What is the 1193rd prime number?
The 1193rd prime number is 9661. The next prime is 9677 (a gap of 16) and the one before is 9649.
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 1193rd one is 9661.
- 2
9661 is prime because no prime up to ā9661 ā 98.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1193rd prime is close to 1193 Ć ln(1193) ā 8451, and here it is 9661.
- 4
9661 has no twin: neither 9659 nor 9663 is prime.
Primes around the 1193rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1190 | 9631 | 2 |
| 1191 | 9643 | 12 |
| 1192 | 9649 | 6 |
| 1193 | 9661 | 12 |
| 1194 | 9677 | 16 |
| 1195 | 9679 | 2 |
| 1196 | 9689 | 10 |
Questions
What is the 1193rd prime number?
9661.
Which prime number is 9661?
9661 is the 1193rd prime number.
What is the sum of the first 1193 primes?
5,382,794.