What is the 9455th prime number?
The 9455th prime number is 98459. The next prime is 98467 (a gap of 8) and the one before is 98453.
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 9455th one is 98459.
- 2
98459 is prime because no prime up to ā98459 ā 313.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9455th prime is close to 9455 Ć ln(9455) ā 86554, and here it is 98459.
- 4
98459 has no twin: neither 98457 nor 98461 is prime.
Primes around the 9455th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9452 | 98429 | 10 |
| 9453 | 98443 | 14 |
| 9454 | 98453 | 10 |
| 9455 | 98459 | 6 |
| 9456 | 98467 | 8 |
| 9457 | 98473 | 6 |
| 9458 | 98479 | 6 |
Questions
What is the 9455th prime number?
98459.
Which prime number is 98459?
98459 is the 9455th prime number.
What is the sum of the first 9455 primes?
440,802,430.