What is the 9673rd prime number?
The 9673rd prime number is 100999. The next prime is 101009 (a gap of 10) and the one before is 100987.
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 9673rd one is 100999.
- 2
100999 is prime because no prime up to ā100999 ā 317.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9673rd prime is close to 9673 Ć ln(9673) ā 88770, and here it is 100999.
- 4
100999 has no twin: neither 100997 nor 101001 is prime.
Primes around the 9673rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9670 | 100957 | 14 |
| 9671 | 100981 | 24 |
| 9672 | 100987 | 6 |
| 9673 | 100999 | 12 |
| 9674 | 101009 | 10 |
| 9675 | 101021 | 12 |
| 9676 | 101027 | 6 |
Questions
What is the 9673rd prime number?
100999.
Which prime number is 100999?
100999 is the 9673rd prime number.
What is the sum of the first 9673 primes?
462,537,338.