Prime numbers between 23001 and 24,000
There are 104 prime numbers between 23001 and 24,000: 23003, 23011, 23017, 23021, 23027, 23029, 23039, 23041, 23053, 23057, 23059, 23063, 23071, 23081, 23087, 23099, 23117, 23131, 23143, 23159, 23167, 23173, 23189, 23197, 23201, 23203, 23209, 23227, 23251, 23269, 23279, 23291, 23293, 23297, 23311, 23321, 23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 23431, 23447, 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 23561, 23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629, 23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743, 23747, 23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, 23831, 23833, 23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, 23911, 23917, 23929, 23957, 23971, 23977, 23981, 23993.
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 ā24000 ā 154.9 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 104 primes between 23001 and 24,000, with a total of 2,443,290.
- 3
The biggest gap between neighbouring primes in this range is 30, after 23633 (the next prime is 23663). There are 14 twin prime pairs (primes 2 apart), the first ones (23027, 23029), (23039, 23041), (23057, 23059), (23201, 23203), (23291, 23293), (23369, 23371), (23537, 23539), (23561, 23563).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 23,001 to 24,000 | 104 | 10.4% |
Questions
How many prime numbers are there between 23001 and 24,000?
104.
What is the biggest prime number below 24,000?
23993.
What is the first prime number after 23000?
23003.