Prime numbers between 9101 and 9,200
There are 12 prime numbers between 9101 and 9,200: 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199.
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 ā9200 ā 95.9 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 12 primes between 9101 and 9,200, with a total of 109,818.
- 3
The biggest gap between neighbouring primes in this range is 18, after 9109 (the next prime is 9127). There are no twin primes here.
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 9,101 to 9,110 | 2 | 20% |
| 9,111 to 9,120 | 0 | 0% |
| 9,121 to 9,130 | 1 | 10% |
| 9,131 to 9,140 | 2 | 20% |
| 9,141 to 9,150 | 0 | 0% |
| 9,151 to 9,160 | 2 | 20% |
| 9,161 to 9,170 | 1 | 10% |
| 9,171 to 9,180 | 1 | 10% |
| 9,181 to 9,190 | 2 | 20% |
| 9,191 to 9,200 | 1 | 10% |
Questions
How many prime numbers are there between 9101 and 9,200?
12.
What is the biggest prime number below 9,200?
9199.
What is the first prime number after 9100?
9103.