What is the 1178th prime number?
The 1178th prime number is 9511. The next prime is 9521 (a gap of 10) and the one before is 9497.
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 1178th one is 9511.
- 2
9511 is prime because no prime up to ā9511 ā 97.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1178th prime is close to 1178 Ć ln(1178) ā 8330, and here it is 9511.
- 4
9511 has no twin: neither 9509 nor 9513 is prime.
Primes around the 1178th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1175 | 9479 | 6 |
| 1176 | 9491 | 12 |
| 1177 | 9497 | 6 |
| 1178 | 9511 | 14 |
| 1179 | 9521 | 10 |
| 1180 | 9533 | 12 |
| 1181 | 9539 | 6 |
Questions
What is the 1178th prime number?
9511.
Which prime number is 9511?
9511 is the 1178th prime number.
What is the sum of the first 1178 primes?
5,238,847.