What is the 9446th prime number?
The 9446th prime number is 98377. The next prime is 98387 (a gap of 10) and the one before is 98369.
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 9446th one is 98377.
- 2
98377 is prime because no prime up to ā98377 ā 313.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9446th prime is close to 9446 Ć ln(9446) ā 86463, and here it is 98377.
- 4
98377 has no twin: neither 98375 nor 98379 is prime.
Primes around the 9446th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9443 | 98327 | 4 |
| 9444 | 98347 | 20 |
| 9445 | 98369 | 22 |
| 9446 | 98377 | 8 |
| 9447 | 98387 | 10 |
| 9448 | 98389 | 2 |
| 9449 | 98407 | 18 |
Questions
What is the 9446th prime number?
98377.
Which prime number is 98377?
98377 is the 9446th prime number.
What is the sum of the first 9446 primes?
439,916,633.