What is the 9457th prime number?
The 9457th prime number is 98473. The next prime is 98479 (a gap of 6) and the one before is 98467.
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 9457th one is 98473.
- 2
98473 is prime because no prime up to ā98473 ā 313.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9457th prime is close to 9457 Ć ln(9457) ā 86574, and here it is 98473.
- 4
98473 has no twin: neither 98471 nor 98475 is prime.
Primes around the 9457th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9454 | 98453 | 10 |
| 9455 | 98459 | 6 |
| 9456 | 98467 | 8 |
| 9457 | 98473 | 6 |
| 9458 | 98479 | 6 |
| 9459 | 98491 | 12 |
| 9460 | 98507 | 16 |
Questions
What is the 9457th prime number?
98473.
Which prime number is 98473?
98473 is the 9457th prime number.
What is the sum of the first 9457 primes?
440,999,370.