Prime numbers between 94001 and 95,000
There are 87 prime numbers between 94001 and 95,000: 94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111, 94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349, 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447, 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, 94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687, 94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793, 94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933, 94949, 94951, 94961, 94993, 94999.
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 ā95000 ā 308.2 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 87 primes between 94001 and 95,000, with a total of 8,221,701.
- 3
The biggest gap between neighbouring primes in this range is 36, after 94651 (the next prime is 94687). There are 13 twin prime pairs (primes 2 apart), the first ones (94007, 94009), (94109, 94111), (94151, 94153), (94307, 94309), (94349, 94351), (94397, 94399), (94439, 94441), (94529, 94531).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 94,001 to 95,000 | 87 | 8.7% |
Questions
How many prime numbers are there between 94001 and 95,000?
87.
What is the biggest prime number below 95,000?
94999.
What is the first prime number after 94000?
94007.