What is the 9303rd prime number?
The 9303rd prime number is 96601. The next prime is 96643 (a gap of 42) and the one before is 96589.
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 9303rd one is 96601.
- 2
96601 is prime because no prime up to ā96601 ā 310.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9303rd prime is close to 9303 Ć ln(9303) ā 85012, and here it is 96601.
- 4
96601 has no twin: neither 96599 nor 96603 is prime.
Primes around the 9303rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9300 | 96581 | 24 |
| 9301 | 96587 | 6 |
| 9302 | 96589 | 2 |
| 9303 | 96601 | 12 |
| 9304 | 96643 | 42 |
| 9305 | 96661 | 18 |
| 9306 | 96667 | 6 |
Questions
What is the 9303rd prime number?
96601.
Which prime number is 96601?
96601 is the 9303rd prime number.
What is the sum of the first 9303 primes?
425,976,294.