What is the 1194th prime number?
The 1194th prime number is 9677. The next prime is 9679 (a gap of 2) and the one before is 9661.
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 1194th one is 9677.
- 2
9677 is prime because no prime up to ā9677 ā 98.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1194th prime is close to 1194 Ć ln(1194) ā 8460, and here it is 9677.
- 4
9677 is a twin prime: 9677 and 9679 are both prime.
Primes around the 1194th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1191 | 9643 | 12 |
| 1192 | 9649 | 6 |
| 1193 | 9661 | 12 |
| 1194 | 9677 | 16 |
| 1195 | 9679 | 2 |
| 1196 | 9689 | 10 |
| 1197 | 9697 | 8 |
Questions
What is the 1194th prime number?
9677.
Which prime number is 9677?
9677 is the 1194th prime number.
What is the sum of the first 1194 primes?
5,392,471.