What is the 1177th prime number?
The 1177th prime number is 9497. The next prime is 9511 (a gap of 14) and the one before is 9491.
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 1177th one is 9497.
- 2
9497 is prime because no prime up to ā9497 ā 97.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1177th prime is close to 1177 Ć ln(1177) ā 8322, and here it is 9497.
- 4
9497 has no twin: neither 9495 nor 9499 is prime.
Primes around the 1177th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1174 | 9473 | 6 |
| 1175 | 9479 | 6 |
| 1176 | 9491 | 12 |
| 1177 | 9497 | 6 |
| 1178 | 9511 | 14 |
| 1179 | 9521 | 10 |
| 1180 | 9533 | 12 |
Questions
What is the 1177th prime number?
9497.
Which prime number is 9497?
9497 is the 1177th prime number.
What is the sum of the first 1177 primes?
5,229,336.