What is the 1171st prime number?
The 1171st prime number is 9461. The next prime is 9463 (a gap of 2) and the one before is 9439.
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 1171st one is 9461.
- 2
9461 is prime because no prime up to ā9461 ā 97.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1171st prime is close to 1171 Ć ln(1171) ā 8274, and here it is 9461.
- 4
9461 is a twin prime: 9461 and 9463 are both prime.
Primes around the 1171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1168 | 9433 | 2 |
| 1169 | 9437 | 4 |
| 1170 | 9439 | 2 |
| 1171 | 9461 | 22 |
| 1172 | 9463 | 2 |
| 1173 | 9467 | 4 |
| 1174 | 9473 | 6 |
Questions
What is the 1171st prime number?
9461.
Which prime number is 9461?
9461 is the 1171st prime number.
What is the sum of the first 1171 primes?
5,172,466.