What is the 9459th prime number?
The 9459th prime number is 98491. The next prime is 98507 (a gap of 16) and the one before is 98479.
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 9459th one is 98491.
- 2
98491 is prime because no prime up to ā98491 ā 313.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9459th prime is close to 9459 Ć ln(9459) ā 86595, and here it is 98491.
- 4
98491 has no twin: neither 98489 nor 98493 is prime.
Primes around the 9459th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9456 | 98467 | 8 |
| 9457 | 98473 | 6 |
| 9458 | 98479 | 6 |
| 9459 | 98491 | 12 |
| 9460 | 98507 | 16 |
| 9461 | 98519 | 12 |
| 9462 | 98533 | 14 |
Questions
What is the 9459th prime number?
98491.
Which prime number is 98491?
98491 is the 9459th prime number.
What is the sum of the first 9459 primes?
441,196,340.