What is the 9473rd prime number?
The 9473rd prime number is 98669. The next prime is 98689 (a gap of 20) and the one before is 98663.
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 9473rd one is 98669.
- 2
98669 is prime because no prime up to ā98669 ā 314.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9473rd prime is close to 9473 Ć ln(9473) ā 86737, and here it is 98669.
- 4
98669 has no twin: neither 98667 nor 98671 is prime.
Primes around the 9473rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9470 | 98639 | 12 |
| 9471 | 98641 | 2 |
| 9472 | 98663 | 22 |
| 9473 | 98669 | 6 |
| 9474 | 98689 | 20 |
| 9475 | 98711 | 22 |
| 9476 | 98713 | 2 |
Questions
What is the 9473rd prime number?
98669.
Which prime number is 98669?
98669 is the 9473rd prime number.
What is the sum of the first 9473 primes?
442,576,596.