Prime numbers between 79001 and 80,000
There are 91 prime numbers between 79001 and 80,000: 79031, 79039, 79043, 79063, 79087, 79103, 79111, 79133, 79139, 79147, 79151, 79153, 79159, 79181, 79187, 79193, 79201, 79229, 79231, 79241, 79259, 79273, 79279, 79283, 79301, 79309, 79319, 79333, 79337, 79349, 79357, 79367, 79379, 79393, 79397, 79399, 79411, 79423, 79427, 79433, 79451, 79481, 79493, 79531, 79537, 79549, 79559, 79561, 79579, 79589, 79601, 79609, 79613, 79621, 79627, 79631, 79633, 79657, 79669, 79687, 79691, 79693, 79697, 79699, 79757, 79769, 79777, 79801, 79811, 79813, 79817, 79823, 79829, 79841, 79843, 79847, 79861, 79867, 79873, 79889, 79901, 79903, 79907, 79939, 79943, 79967, 79973, 79979, 79987, 79997, 79999.
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 ā80000 ā 282.8 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 91 primes between 79001 and 80,000, with a total of 7,237,021.
- 3
The biggest gap between neighbouring primes in this range is 58, after 79699 (the next prime is 79757). There are 11 twin prime pairs (primes 2 apart): (79151, 79153), (79229, 79231), (79397, 79399), (79559, 79561), (79631, 79633), (79691, 79693), (79697, 79699), (79811, 79813), (79841, 79843), (79901, 79903), (79997, 79999).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 79,001 to 80,000 | 91 | 9.1% |
Questions
How many prime numbers are there between 79001 and 80,000?
91.
What is the biggest prime number below 80,000?
79999.
What is the first prime number after 79000?
79031.