Prime numbers between 95001 and 96,000
There are 95 prime numbers between 95001 and 96,000: 95003, 95009, 95021, 95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111, 95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317, 95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441, 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633, 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773, 95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, 95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971, 95987, 95989.
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 ā96000 ā 309.8 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 95 primes between 95001 and 96,000, with a total of 9,071,881.
- 3
The biggest gap between neighbouring primes in this range is 50, after 95651 (the next prime is 95701). There are 8 twin prime pairs (primes 2 apart): (95087, 95089), (95189, 95191), (95231, 95233), (95441, 95443), (95789, 95791), (95801, 95803), (95957, 95959), (95987, 95989).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 95,001 to 96,000 | 95 | 9.5% |
Questions
How many prime numbers are there between 95001 and 96,000?
95.
What is the biggest prime number below 96,000?
95989.
What is the first prime number after 95000?
95003.