Prime numbers between 2801 and 2,900
There are 12 prime numbers between 2801 and 2,900: 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897.
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 ā2900 ā 53.9 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 12 primes between 2801 and 2,900, with a total of 34,168.
- 3
The biggest gap between neighbouring primes in this range is 18, after 2861 (the next prime is 2879). There are 1 twin prime pairs (primes 2 apart): (2801, 2803).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 2,801 to 2,810 | 2 | 20% |
| 2,811 to 2,820 | 1 | 10% |
| 2,821 to 2,830 | 0 | 0% |
| 2,831 to 2,840 | 2 | 20% |
| 2,841 to 2,850 | 1 | 10% |
| 2,851 to 2,860 | 2 | 20% |
| 2,861 to 2,870 | 1 | 10% |
| 2,871 to 2,880 | 1 | 10% |
| 2,881 to 2,890 | 1 | 10% |
| 2,891 to 2,900 | 1 | 10% |
Questions
How many prime numbers are there between 2801 and 2,900?
12.
What is the biggest prime number below 2,900?
2897.
What is the first prime number after 2800?
2801.