What is the 1191st prime number?
The 1191st prime number is 9643. The next prime is 9649 (a gap of 6) and the one before is 9631.
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 1191st one is 9643.
- 2
9643 is prime because no prime up to ā9643 ā 98.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1191st prime is close to 1191 Ć ln(1191) ā 8435, and here it is 9643.
- 4
9643 has no twin: neither 9641 nor 9645 is prime.
Primes around the 1191st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1188 | 9623 | 4 |
| 1189 | 9629 | 6 |
| 1190 | 9631 | 2 |
| 1191 | 9643 | 12 |
| 1192 | 9649 | 6 |
| 1193 | 9661 | 12 |
| 1194 | 9677 | 16 |
Questions
What is the 1191st prime number?
9643.
Which prime number is 9643?
9643 is the 1191st prime number.
What is the sum of the first 1191 primes?
5,363,484.