What is the 1190th prime number?
The 1190th prime number is 9631. The next prime is 9643 (a gap of 12) and the one before is 9629.
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 1190th one is 9631.
- 2
9631 is prime because no prime up to ā9631 ā 98.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1190th prime is close to 1190 Ć ln(1190) ā 8427, and here it is 9631.
- 4
9631 is a twin prime: 9629 and 9631 are both prime.
Primes around the 1190th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1187 | 9619 | 6 |
| 1188 | 9623 | 4 |
| 1189 | 9629 | 6 |
| 1190 | 9631 | 2 |
| 1191 | 9643 | 12 |
| 1192 | 9649 | 6 |
| 1193 | 9661 | 12 |
Questions
What is the 1190th prime number?
9631.
Which prime number is 9631?
9631 is the 1190th prime number.
What is the sum of the first 1190 primes?
5,353,841.