What is the 9463rd prime number?
The 9463rd prime number is 98543. The next prime is 98561 (a gap of 18) and the one before is 98533.
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 9463rd one is 98543.
- 2
98543 is prime because no prime up to ā98543 ā 313.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9463rd prime is close to 9463 Ć ln(9463) ā 86635, and here it is 98543.
- 4
98543 has no twin: neither 98541 nor 98545 is prime.
Primes around the 9463rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9460 | 98507 | 16 |
| 9461 | 98519 | 12 |
| 9462 | 98533 | 14 |
| 9463 | 98543 | 10 |
| 9464 | 98561 | 18 |
| 9465 | 98563 | 2 |
| 9466 | 98573 | 10 |
Questions
What is the 9463rd prime number?
98543.
Which prime number is 98543?
98543 is the 9463rd prime number.
What is the sum of the first 9463 primes?
441,590,442.