What is the 9458th prime number?
The 9458th prime number is 98479. The next prime is 98491 (a gap of 12) and the one before is 98473.
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 9458th one is 98479.
- 2
98479 is prime because no prime up to ā98479 ā 313.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9458th prime is close to 9458 Ć ln(9458) ā 86584, and here it is 98479.
- 4
98479 has no twin: neither 98477 nor 98481 is prime.
Primes around the 9458th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9455 | 98459 | 6 |
| 9456 | 98467 | 8 |
| 9457 | 98473 | 6 |
| 9458 | 98479 | 6 |
| 9459 | 98491 | 12 |
| 9460 | 98507 | 16 |
| 9461 | 98519 | 12 |
Questions
What is the 9458th prime number?
98479.
Which prime number is 98479?
98479 is the 9458th prime number.
What is the sum of the first 9458 primes?
441,097,849.