What is the 9464th prime number?
The 9464th prime number is 98561. The next prime is 98563 (a gap of 2) and the one before is 98543.
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 9464th one is 98561.
- 2
98561 is prime because no prime up to ā98561 ā 313.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9464th prime is close to 9464 Ć ln(9464) ā 86645, and here it is 98561.
- 4
98561 is a twin prime: 98561 and 98563 are both prime.
Primes around the 9464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9461 | 98519 | 12 |
| 9462 | 98533 | 14 |
| 9463 | 98543 | 10 |
| 9464 | 98561 | 18 |
| 9465 | 98563 | 2 |
| 9466 | 98573 | 10 |
| 9467 | 98597 | 24 |
Questions
What is the 9464th prime number?
98561.
Which prime number is 98561?
98561 is the 9464th prime number.
What is the sum of the first 9464 primes?
441,689,003.