Prime numbers between 5801 and 5,900
There are 16 prime numbers between 5801 and 5,900: 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897.
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 ā5900 ā 76.8 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 16 primes between 5801 and 5,900, with a total of 93,562.
- 3
The biggest gap between neighbouring primes in this range is 16, after 5881 (the next prime is 5897). There are 3 twin prime pairs (primes 2 apart): (5849, 5851), (5867, 5869), (5879, 5881).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 5,801 to 5,810 | 2 | 20% |
| 5,811 to 5,820 | 1 | 10% |
| 5,821 to 5,830 | 2 | 20% |
| 5,831 to 5,840 | 1 | 10% |
| 5,841 to 5,850 | 2 | 20% |
| 5,851 to 5,860 | 2 | 20% |
| 5,861 to 5,870 | 3 | 30% |
| 5,871 to 5,880 | 1 | 10% |
| 5,881 to 5,890 | 1 | 10% |
| 5,891 to 5,900 | 1 | 10% |
Questions
How many prime numbers are there between 5801 and 5,900?
16.
What is the biggest prime number below 5,900?
5897.
What is the first prime number after 5800?
5801.