What is the 1172nd prime number?
The 1172nd prime number is 9463. The next prime is 9467 (a gap of 4) and the one before is 9461.
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 1172nd one is 9463.
- 2
9463 is prime because no prime up to ā9463 ā 97.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1172nd prime is close to 1172 Ć ln(1172) ā 8282, and here it is 9463.
- 4
9463 is a twin prime: 9461 and 9463 are both prime.
Primes around the 1172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1169 | 9437 | 4 |
| 1170 | 9439 | 2 |
| 1171 | 9461 | 22 |
| 1172 | 9463 | 2 |
| 1173 | 9467 | 4 |
| 1174 | 9473 | 6 |
| 1175 | 9479 | 6 |
Questions
What is the 1172nd prime number?
9463.
Which prime number is 9463?
9463 is the 1172nd prime number.
What is the sum of the first 1172 primes?
5,181,929.