Prime numbers between 53001 and 54,000
There are 92 prime numbers between 53001 and 54,000: 53003, 53017, 53047, 53051, 53069, 53077, 53087, 53089, 53093, 53101, 53113, 53117, 53129, 53147, 53149, 53161, 53171, 53173, 53189, 53197, 53201, 53231, 53233, 53239, 53267, 53269, 53279, 53281, 53299, 53309, 53323, 53327, 53353, 53359, 53377, 53381, 53401, 53407, 53411, 53419, 53437, 53441, 53453, 53479, 53503, 53507, 53527, 53549, 53551, 53569, 53591, 53593, 53597, 53609, 53611, 53617, 53623, 53629, 53633, 53639, 53653, 53657, 53681, 53693, 53699, 53717, 53719, 53731, 53759, 53773, 53777, 53783, 53791, 53813, 53819, 53831, 53849, 53857, 53861, 53881, 53887, 53891, 53897, 53899, 53917, 53923, 53927, 53939, 53951, 53959, 53987, 53993.
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 ā54000 ā 232.4 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 92 primes between 53001 and 54,000, with a total of 4,922,218.
- 3
The biggest gap between neighbouring primes in this range is 30, after 53017 (the next prime is 53047). There are 11 twin prime pairs (primes 2 apart): (53087, 53089), (53147, 53149), (53171, 53173), (53231, 53233), (53267, 53269), (53279, 53281), (53549, 53551), (53591, 53593), (53609, 53611), (53717, 53719), (53897, 53899).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 53,001 to 54,000 | 92 | 9.2% |
Questions
How many prime numbers are there between 53001 and 54,000?
92.
What is the biggest prime number below 54,000?
53993.
What is the first prime number after 53000?
53003.