What is the 9542nd prime number?
The 9542nd prime number is 99409. The next prime is 99431 (a gap of 22) and the one before is 99401.
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 9542nd one is 99409.
- 2
99409 is prime because no prime up to ā99409 ā 315.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9542nd prime is close to 9542 Ć ln(9542) ā 87438, and here it is 99409.
- 4
99409 has no twin: neither 99407 nor 99411 is prime.
Primes around the 9542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9539 | 99391 | 14 |
| 9540 | 99397 | 6 |
| 9541 | 99401 | 4 |
| 9542 | 99409 | 8 |
| 9543 | 99431 | 22 |
| 9544 | 99439 | 8 |
| 9545 | 99469 | 30 |
Questions
What is the 9542nd prime number?
99409.
Which prime number is 99409?
99409 is the 9542nd prime number.
What is the sum of the first 9542 primes?
449,410,633.