What is the 9456th prime number?
The 9456th prime number is 98467. The next prime is 98473 (a gap of 6) and the one before is 98459.
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 9456th one is 98467.
- 2
98467 is prime because no prime up to ā98467 ā 313.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9456th prime is close to 9456 Ć ln(9456) ā 86564, and here it is 98467.
- 4
98467 has no twin: neither 98465 nor 98469 is prime.
Primes around the 9456th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9453 | 98443 | 14 |
| 9454 | 98453 | 10 |
| 9455 | 98459 | 6 |
| 9456 | 98467 | 8 |
| 9457 | 98473 | 6 |
| 9458 | 98479 | 6 |
| 9459 | 98491 | 12 |
Questions
What is the 9456th prime number?
98467.
Which prime number is 98467?
98467 is the 9456th prime number.
What is the sum of the first 9456 primes?
440,900,897.