What is the 9445th prime number?
The 9445th prime number is 98369. The next prime is 98377 (a gap of 8) and the one before is 98347.
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 9445th one is 98369.
- 2
98369 is prime because no prime up to ā98369 ā 313.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9445th prime is close to 9445 Ć ln(9445) ā 86452, and here it is 98369.
- 4
98369 has no twin: neither 98367 nor 98371 is prime.
Primes around the 9445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9442 | 98323 | 2 |
| 9443 | 98327 | 4 |
| 9444 | 98347 | 20 |
| 9445 | 98369 | 22 |
| 9446 | 98377 | 8 |
| 9447 | 98387 | 10 |
| 9448 | 98389 | 2 |
Questions
What is the 9445th prime number?
98369.
Which prime number is 98369?
98369 is the 9445th prime number.
What is the sum of the first 9445 primes?
439,818,256.