Prime numbers between 9501 and 9,600
There are 7 prime numbers between 9501 and 9,600: 9511, 9521, 9533, 9539, 9547, 9551, 9587.
How to work it out
- 1
A prime has exactly two factors, 1 and itself. To list them, cross out multiples of 2, then 3, then 5, and so on up to ā9600 ā 98.0 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 7 primes between 9501 and 9,600, with a total of 66,789.
- 3
The biggest gap between neighbouring primes in this range is 36, after 9551 (the next prime is 9587). There are no twin primes here.
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 9,501 to 9,510 | 0 | 0% |
| 9,511 to 9,520 | 1 | 10% |
| 9,521 to 9,530 | 1 | 10% |
| 9,531 to 9,540 | 2 | 20% |
| 9,541 to 9,550 | 1 | 10% |
| 9,551 to 9,560 | 1 | 10% |
| 9,561 to 9,570 | 0 | 0% |
| 9,571 to 9,580 | 0 | 0% |
| 9,581 to 9,590 | 1 | 10% |
| 9,591 to 9,600 | 0 | 0% |
Questions
How many prime numbers are there between 9501 and 9,600?
7.
What is the biggest prime number below 9,600?
9587.
What is the first prime number after 9500?
9511.