Prime numbers between 24001 and 25,000
There are 94 prime numbers between 24001 and 25,000: 24001, 24007, 24019, 24023, 24029, 24043, 24049, 24061, 24071, 24077, 24083, 24091, 24097, 24103, 24107, 24109, 24113, 24121, 24133, 24137, 24151, 24169, 24179, 24181, 24197, 24203, 24223, 24229, 24239, 24247, 24251, 24281, 24317, 24329, 24337, 24359, 24371, 24373, 24379, 24391, 24407, 24413, 24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 24509, 24517, 24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 24659, 24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767, 24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877, 24889, 24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, 24979, 24989.
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 ā25000 ā 158.1 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 94 primes between 24001 and 25,000, with a total of 2,300,968.
- 3
The biggest gap between neighbouring primes in this range is 36, after 24281 (the next prime is 24317). There are 6 twin prime pairs (primes 2 apart): (24107, 24109), (24179, 24181), (24371, 24373), (24419, 24421), (24917, 24919), (24977, 24979).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 24,001 to 25,000 | 94 | 9.4% |
Questions
How many prime numbers are there between 24001 and 25,000?
94.
What is the biggest prime number below 25,000?
24989.
What is the first prime number after 24000?
24001.