What is the 9444th prime number?
The 9444th prime number is 98347. The next prime is 98369 (a gap of 22) and the one before is 98327.
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 9444th one is 98347.
- 2
98347 is prime because no prime up to ā98347 ā 313.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9444th prime is close to 9444 Ć ln(9444) ā 86442, and here it is 98347.
- 4
98347 has no twin: neither 98345 nor 98349 is prime.
Primes around the 9444th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9441 | 98321 | 4 |
| 9442 | 98323 | 2 |
| 9443 | 98327 | 4 |
| 9444 | 98347 | 20 |
| 9445 | 98369 | 22 |
| 9446 | 98377 | 8 |
| 9447 | 98387 | 10 |
Questions
What is the 9444th prime number?
98347.
Which prime number is 98347?
98347 is the 9444th prime number.
What is the sum of the first 9444 primes?
439,719,887.