What is the 9543rd prime number?
The 9543rd prime number is 99431. The next prime is 99439 (a gap of 8) and the one before is 99409.
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 9543rd one is 99431.
- 2
99431 is prime because no prime up to ā99431 ā 315.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9543rd prime is close to 9543 Ć ln(9543) ā 87448, and here it is 99431.
- 4
99431 has no twin: neither 99429 nor 99433 is prime.
Primes around the 9543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9540 | 99397 | 6 |
| 9541 | 99401 | 4 |
| 9542 | 99409 | 8 |
| 9543 | 99431 | 22 |
| 9544 | 99439 | 8 |
| 9545 | 99469 | 30 |
| 9546 | 99487 | 18 |
Questions
What is the 9543rd prime number?
99431.
Which prime number is 99431?
99431 is the 9543rd prime number.
What is the sum of the first 9543 primes?
449,510,064.