What is the 9382nd prime number?
The 9382nd prime number is 97561. The next prime is 97571 (a gap of 10) and the one before is 97553.
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 9382nd one is 97561.
- 2
97561 is prime because no prime up to ā97561 ā 312.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9382nd prime is close to 9382 Ć ln(9382) ā 85813, and here it is 97561.
- 4
97561 has no twin: neither 97559 nor 97563 is prime.
Primes around the 9382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9379 | 97547 | 24 |
| 9380 | 97549 | 2 |
| 9381 | 97553 | 4 |
| 9382 | 97561 | 8 |
| 9383 | 97571 | 10 |
| 9384 | 97577 | 6 |
| 9385 | 97579 | 2 |
Questions
What is the 9382nd prime number?
97561.
Which prime number is 97561?
97561 is the 9382nd prime number.
What is the sum of the first 9382 primes?
433,646,727.