What is the 9462nd prime number?
The 9462nd prime number is 98533. The next prime is 98543 (a gap of 10) and the one before is 98519.
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 9462nd one is 98533.
- 2
98533 is prime because no prime up to ā98533 ā 313.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9462nd prime is close to 9462 Ć ln(9462) ā 86625, and here it is 98533.
- 4
98533 has no twin: neither 98531 nor 98535 is prime.
Primes around the 9462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9459 | 98491 | 12 |
| 9460 | 98507 | 16 |
| 9461 | 98519 | 12 |
| 9462 | 98533 | 14 |
| 9463 | 98543 | 10 |
| 9464 | 98561 | 18 |
| 9465 | 98563 | 2 |
Questions
What is the 9462nd prime number?
98533.
Which prime number is 98533?
98533 is the 9462nd prime number.
What is the sum of the first 9462 primes?
441,491,899.