What is the 9652nd prime number?
The 9652nd prime number is 100733. The next prime is 100741 (a gap of 8) and the one before is 100703.
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 9652nd one is 100733.
- 2
100733 is prime because no prime up to ā100733 ā 317.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9652nd prime is close to 9652 Ć ln(9652) ā 88556, and here it is 100733.
- 4
100733 has no twin: neither 100731 nor 100735 is prime.
Primes around the 9652nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9649 | 100693 | 20 |
| 9650 | 100699 | 6 |
| 9651 | 100703 | 4 |
| 9652 | 100733 | 30 |
| 9653 | 100741 | 8 |
| 9654 | 100747 | 6 |
| 9655 | 100769 | 22 |
Questions
What is the 9652nd prime number?
100733.
Which prime number is 100733?
100733 is the 9652nd prime number.
What is the sum of the first 9652 primes?
460,419,049.