What is the 9381st prime number?
The 9381st prime number is 97553. The next prime is 97561 (a gap of 8) and the one before is 97549.
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 9381st one is 97553.
- 2
97553 is prime because no prime up to ā97553 ā 312.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9381st prime is close to 9381 Ć ln(9381) ā 85803, and here it is 97553.
- 4
97553 has no twin: neither 97551 nor 97555 is prime.
Primes around the 9381st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9378 | 97523 | 12 |
| 9379 | 97547 | 24 |
| 9380 | 97549 | 2 |
| 9381 | 97553 | 4 |
| 9382 | 97561 | 8 |
| 9383 | 97571 | 10 |
| 9384 | 97577 | 6 |
Questions
What is the 9381st prime number?
97553.
Which prime number is 97553?
97553 is the 9381st prime number.
What is the sum of the first 9381 primes?
433,549,166.