What is the 9653rd prime number?
The 9653rd prime number is 100741. The next prime is 100747 (a gap of 6) and the one before is 100733.
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 9653rd one is 100741.
- 2
100741 is prime because no prime up to ā100741 ā 317.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9653rd prime is close to 9653 Ć ln(9653) ā 88567, and here it is 100741.
- 4
100741 has no twin: neither 100739 nor 100743 is prime.
Primes around the 9653rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9650 | 100699 | 6 |
| 9651 | 100703 | 4 |
| 9652 | 100733 | 30 |
| 9653 | 100741 | 8 |
| 9654 | 100747 | 6 |
| 9655 | 100769 | 22 |
| 9656 | 100787 | 18 |
Questions
What is the 9653rd prime number?
100741.
Which prime number is 100741?
100741 is the 9653rd prime number.
What is the sum of the first 9653 primes?
460,519,790.