What is the 9043rd prime number?
The 9043rd prime number is 93683. The next prime is 93701 (a gap of 18) and the one before is 93637.
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 9043rd one is 93683.
- 2
93683 is prime because no prime up to ā93683 ā 306.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9043rd prime is close to 9043 Ć ln(9043) ā 82379, and here it is 93683.
- 4
93683 has no twin: neither 93681 nor 93685 is prime.
Primes around the 9043rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9040 | 93607 | 6 |
| 9041 | 93629 | 22 |
| 9042 | 93637 | 8 |
| 9043 | 93683 | 46 |
| 9044 | 93701 | 18 |
| 9045 | 93703 | 2 |
| 9046 | 93719 | 16 |
Questions
What is the 9043rd prime number?
93683.
Which prime number is 93683?
93683 is the 9043rd prime number.
What is the sum of the first 9043 primes?
401,236,206.