Prime numbers between 8801 and 8,900
There are 13 prime numbers between 8801 and 8,900: 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893.
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 ā8900 ā 94.3 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 13 primes between 8801 and 8,900, with a total of 114,977.
- 3
The biggest gap between neighbouring primes in this range is 20, after 8867 (the next prime is 8887). There are 3 twin prime pairs (primes 2 apart): (8819, 8821), (8837, 8839), (8861, 8863).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 8,801 to 8,810 | 2 | 20% |
| 8,811 to 8,820 | 1 | 10% |
| 8,821 to 8,830 | 1 | 10% |
| 8,831 to 8,840 | 3 | 30% |
| 8,841 to 8,850 | 1 | 10% |
| 8,851 to 8,860 | 0 | 0% |
| 8,861 to 8,870 | 3 | 30% |
| 8,871 to 8,880 | 0 | 0% |
| 8,881 to 8,890 | 1 | 10% |
| 8,891 to 8,900 | 1 | 10% |
Questions
How many prime numbers are there between 8801 and 8,900?
13.
What is the biggest prime number below 8,900?
8893.
What is the first prime number after 8800?
8803.