Prime numbers between 91001 and 92,000
There are 85 prime numbers between 91001 and 92,000: 91009, 91019, 91033, 91079, 91081, 91097, 91099, 91121, 91127, 91129, 91139, 91141, 91151, 91153, 91159, 91163, 91183, 91193, 91199, 91229, 91237, 91243, 91249, 91253, 91283, 91291, 91297, 91303, 91309, 91331, 91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411, 91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499, 91513, 91529, 91541, 91571, 91573, 91577, 91583, 91591, 91621, 91631, 91639, 91673, 91691, 91703, 91711, 91733, 91753, 91757, 91771, 91781, 91801, 91807, 91811, 91813, 91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939, 91943, 91951, 91957, 91961, 91967, 91969, 91997.
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 ā92000 ā 303.3 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 85 primes between 91001 and 92,000, with a total of 7,776,987.
- 3
The biggest gap between neighbouring primes in this range is 46, after 91033 (the next prime is 91079). There are 10 twin prime pairs (primes 2 apart): (91079, 91081), (91097, 91099), (91127, 91129), (91139, 91141), (91151, 91153), (91367, 91369), (91457, 91459), (91571, 91573), (91811, 91813), (91967, 91969).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 91,001 to 92,000 | 85 | 8.5% |
Questions
How many prime numbers are there between 91001 and 92,000?
85.
What is the biggest prime number below 92,000?
91997.
What is the first prime number after 91000?
91009.