Prime numbers between 92001 and 93,000
There are 97 prime numbers between 92001 and 93,000: 92003, 92009, 92033, 92041, 92051, 92077, 92083, 92107, 92111, 92119, 92143, 92153, 92173, 92177, 92179, 92189, 92203, 92219, 92221, 92227, 92233, 92237, 92243, 92251, 92269, 92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363, 92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413, 92419, 92431, 92459, 92461, 92467, 92479, 92489, 92503, 92507, 92551, 92557, 92567, 92569, 92581, 92593, 92623, 92627, 92639, 92641, 92647, 92657, 92669, 92671, 92681, 92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753, 92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821, 92831, 92849, 92857, 92861, 92863, 92867, 92893, 92899, 92921, 92927, 92941, 92951, 92957, 92959, 92987, 92993.
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 ā93000 ā 305.0 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 97 primes between 92001 and 93,000, with a total of 8,973,613.
- 3
The biggest gap between neighbouring primes in this range is 44, after 92507 (the next prime is 92551). There are 12 twin prime pairs (primes 2 apart): (92177, 92179), (92219, 92221), (92381, 92383), (92399, 92401), (92459, 92461), (92567, 92569), (92639, 92641), (92669, 92671), (92681, 92683), (92789, 92791), (92861, 92863), (92957, 92959).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 92,001 to 93,000 | 97 | 9.7% |
Questions
How many prime numbers are there between 92001 and 93,000?
97.
What is the biggest prime number below 93,000?
92993.
What is the first prime number after 92000?
92003.