Prime numbers between 93001 and 94,000
There are 86 prime numbers between 93001 and 94,000: 93001, 93047, 93053, 93059, 93077, 93083, 93089, 93097, 93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179, 93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 93263, 93281, 93283, 93287, 93307, 93319, 93323, 93329, 93337, 93371, 93377, 93383, 93407, 93419, 93427, 93463, 93479, 93481, 93487, 93491, 93493, 93497, 93503, 93523, 93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607, 93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761, 93763, 93787, 93809, 93811, 93827, 93851, 93871, 93887, 93889, 93893, 93901, 93911, 93913, 93923, 93937, 93941, 93949, 93967, 93971, 93979, 93983, 93997.
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 ā94000 ā 306.6 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 86 primes between 93001 and 94,000, with a total of 8,040,892.
- 3
The biggest gap between neighbouring primes in this range is 46, after 93001 (the next prime is 93047). There are 12 twin prime pairs (primes 2 apart): (93131, 93133), (93239, 93241), (93251, 93253), (93281, 93283), (93479, 93481), (93491, 93493), (93557, 93559), (93701, 93703), (93761, 93763), (93809, 93811), (93887, 93889), (93911, 93913).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 93,001 to 94,000 | 86 | 8.6% |
Questions
How many prime numbers are there between 93001 and 94,000?
86.
What is the biggest prime number below 94,000?
93997.
What is the first prime number after 93000?
93001.