What is the 9383rd prime number?
The 9383rd prime number is 97571. The next prime is 97577 (a gap of 6) and the one before is 97561.
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 9383rd one is 97571.
- 2
97571 is prime because no prime up to ā97571 ā 312.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9383rd prime is close to 9383 Ć ln(9383) ā 85823, and here it is 97571.
- 4
97571 has no twin: neither 97569 nor 97573 is prime.
Primes around the 9383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9380 | 97549 | 2 |
| 9381 | 97553 | 4 |
| 9382 | 97561 | 8 |
| 9383 | 97571 | 10 |
| 9384 | 97577 | 6 |
| 9385 | 97579 | 2 |
| 9386 | 97583 | 4 |
Questions
What is the 9383rd prime number?
97571.
Which prime number is 97571?
97571 is the 9383rd prime number.
What is the sum of the first 9383 primes?
433,744,298.