The value of the greatest integer is 76. This occurs when the set of five consecutive integers is all even numbers.
85, 86 and 87
101
We're not sure exactly what the question is looking for, so I made upmy own, and it leads to a fascinating investigation. I hope this is actuallywhat the questioner has in mind.The question seems to be asking: "Find seven consecutive numbers that areall composite."I did a quick investigation, and found some neat stuff. I sure hope my method was valid.-- There actually is a string of seven composite numbers less than 100.They are: 90, 91, 92, 93, 94, 95, 96.-- There are seven strings of five consecutive composite numbers, all less than 100.-- The next series of seven consecutive composites doesn't occur until 360-366.But on the way there, there are five strings of 9 composites, two strings of 11 composites,and three strings of 13 composites.-- There are no series of an even number of consecutive composites, at leastnot up to 200,000 . Wonder why that is.-- The string of 19 consecutive numbers from 888 to 906 are all composite.-- Up to 200,000, the grand-daddy is the range from 155,922 to 156,006 ...a series of 85 consecutive integers that are all composite.
114 through 126 are all composite.
Are not all integers spaced out to be odd then even then odd then even etc (eg 1,2,3,4,5,6,7,8,9,10, etc) and therefore there is no such thing as two consecutive odd integers.
There are not two consecutive odd integers. An integer is a whole number and consecutive is something that follows continuously/unbroken, logical sequence. All odd integers will have an even integer in between: 1, 2, 3, 4, 5...
They both describe integers.
The property of prime or composite applies only to integers. All other numbers (non-integer rationals and all irrational numbers) are neither prime nor composite. Within integers, 0 and 1 are neither prime nor composite.
16+18+20= 54
The 25 numbers from 26! + 2 to 26! + 26 are all composite. Thus, the 25 numbers from 403,291,461,126,605,635,584,000,002 to 403,291,461,126,605,635,584,000,026 are all composite.
All the even numbers greater than 2 are composite.