Prime numbers between 9001 and 9,100
There are 11 prime numbers between 9001 and 9,100: 9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091.
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 ā9100 ā 95.4 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 9001 and 9,100, with a total of 99,411.
- 3
The biggest gap between neighbouring primes in this range is 24, after 9067 (the next prime is 9091). There are 2 twin prime pairs (primes 2 apart): (9011, 9013), (9041, 9043).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 9,001 to 9,010 | 2 | 20% |
| 9,011 to 9,020 | 2 | 20% |
| 9,021 to 9,030 | 1 | 10% |
| 9,031 to 9,040 | 0 | 0% |
| 9,041 to 9,050 | 3 | 30% |
| 9,051 to 9,060 | 1 | 10% |
| 9,061 to 9,070 | 1 | 10% |
| 9,071 to 9,080 | 0 | 0% |
| 9,081 to 9,090 | 0 | 0% |
| 9,091 to 9,100 | 1 | 10% |
Questions
How many prime numbers are there between 9001 and 9,100?
11.
What is the biggest prime number below 9,100?
9091.
What is the first prime number after 9000?
9001.