What is the 1187th prime number?
The 1187th prime number is 9619. The next prime is 9623 (a gap of 4) and the one before is 9613.
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 1187th one is 9619.
- 2
9619 is prime because no prime up to ā9619 ā 98.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1187th prime is close to 1187 Ć ln(1187) ā 8403, and here it is 9619.
- 4
9619 has no twin: neither 9617 nor 9621 is prime.
Primes around the 1187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1184 | 9587 | 36 |
| 1185 | 9601 | 14 |
| 1186 | 9613 | 12 |
| 1187 | 9619 | 6 |
| 1188 | 9623 | 4 |
| 1189 | 9629 | 6 |
| 1190 | 9631 | 2 |
Questions
What is the 1187th prime number?
9619.
Which prime number is 9619?
9619 is the 1187th prime number.
What is the sum of the first 1187 primes?
5,324,958.