Prime numbers between 4801 and 4,900
There are 8 prime numbers between 4801 and 4,900: 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889.
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 ā4900 ā 70.0 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 8 primes between 4801 and 4,900, with a total of 38,760.
- 3
The biggest gap between neighbouring primes in this range is 30, after 4831 (the next prime is 4861). There are no twin primes here.
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 4,801 to 4,810 | 1 | 10% |
| 4,811 to 4,820 | 2 | 20% |
| 4,821 to 4,830 | 0 | 0% |
| 4,831 to 4,840 | 1 | 10% |
| 4,841 to 4,850 | 0 | 0% |
| 4,851 to 4,860 | 0 | 0% |
| 4,861 to 4,870 | 1 | 10% |
| 4,871 to 4,880 | 2 | 20% |
| 4,881 to 4,890 | 1 | 10% |
| 4,891 to 4,900 | 0 | 0% |
Questions
How many prime numbers are there between 4801 and 4,900?
8.
What is the biggest prime number below 4,900?
4889.
What is the first prime number after 4800?
4801.