Prime numbers between 8901 and 9,000
There are 9 prime numbers between 8901 and 9,000: 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999.
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 ā9000 ā 94.9 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 9 primes between 8901 and 9,000, with a total of 80,579.
- 3
The biggest gap between neighbouring primes in this range is 28, after 8971 (the next prime is 8999). There are 1 twin prime pairs (primes 2 apart): (8969, 8971).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 8,901 to 8,910 | 0 | 0% |
| 8,911 to 8,920 | 0 | 0% |
| 8,921 to 8,930 | 2 | 20% |
| 8,931 to 8,940 | 1 | 10% |
| 8,941 to 8,950 | 1 | 10% |
| 8,951 to 8,960 | 1 | 10% |
| 8,961 to 8,970 | 2 | 20% |
| 8,971 to 8,980 | 1 | 10% |
| 8,981 to 8,990 | 0 | 0% |
| 8,991 to 9,000 | 1 | 10% |
Questions
How many prime numbers are there between 8901 and 9,000?
9.
What is the biggest prime number below 9,000?
8999.
What is the first prime number after 8900?
8923.