What is the 9466th prime number?
The 9466th prime number is 98573. The next prime is 98597 (a gap of 24) and the one before is 98563.
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 9466th one is 98573.
- 2
98573 is prime because no prime up to ā98573 ā 313.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9466th prime is close to 9466 Ć ln(9466) ā 86666, and here it is 98573.
- 4
98573 has no twin: neither 98571 nor 98575 is prime.
Primes around the 9466th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9463 | 98543 | 10 |
| 9464 | 98561 | 18 |
| 9465 | 98563 | 2 |
| 9466 | 98573 | 10 |
| 9467 | 98597 | 24 |
| 9468 | 98621 | 24 |
| 9469 | 98627 | 6 |
Questions
What is the 9466th prime number?
98573.
Which prime number is 98573?
98573 is the 9466th prime number.
What is the sum of the first 9466 primes?
441,886,139.