Prime numbers between 5901 and 6,000
There are 7 prime numbers between 5901 and 6,000: 5903, 5923, 5927, 5939, 5953, 5981, 5987.
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 ā6000 ā 77.5 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 7 primes between 5901 and 6,000, with a total of 41,613.
- 3
The biggest gap between neighbouring primes in this range is 28, after 5953 (the next prime is 5981). There are no twin primes here.
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 5,901 to 5,910 | 1 | 10% |
| 5,911 to 5,920 | 0 | 0% |
| 5,921 to 5,930 | 2 | 20% |
| 5,931 to 5,940 | 1 | 10% |
| 5,941 to 5,950 | 0 | 0% |
| 5,951 to 5,960 | 1 | 10% |
| 5,961 to 5,970 | 0 | 0% |
| 5,971 to 5,980 | 0 | 0% |
| 5,981 to 5,990 | 2 | 20% |
| 5,991 to 6,000 | 0 | 0% |
Questions
How many prime numbers are there between 5901 and 6,000?
7.
What is the biggest prime number below 6,000?
5987.
What is the first prime number after 5900?
5903.