What is the 9423rd prime number?
The 9423rd prime number is 98047. The next prime is 98057 (a gap of 10) and the one before is 98041.
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 9423rd one is 98047.
- 2
98047 is prime because no prime up to ā98047 ā 313.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9423rd prime is close to 9423 Ć ln(9423) ā 86229, and here it is 98047.
- 4
98047 has no twin: neither 98045 nor 98049 is prime.
Primes around the 9423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9420 | 98011 | 2 |
| 9421 | 98017 | 6 |
| 9422 | 98041 | 24 |
| 9423 | 98047 | 6 |
| 9424 | 98057 | 10 |
| 9425 | 98081 | 24 |
| 9426 | 98101 | 20 |
Questions
What is the 9423rd prime number?
98047.
Which prime number is 98047?
98047 is the 9423rd prime number.
What is the sum of the first 9423 primes?
437,657,198.