page 259 Burton (end of 11-2)
1, 2 (omit the words “The only” ) , 3 but change to “both x and y cannot be perfect squares”. ,11 (again omit “The only” )
Additionally:
Use software to investigate the distribution of primes. Specifically, develop a table showing intervals of length 100, starting at x=0 and going to 1000 (so 10 entries). The table should show the number of primes in each interval and also the cumulative number of primes from 2 to the higher end of the interval. So three columns:
interval # primes in interval total primes from 2 to end of interval
[2,100 ] 25 25
[101,200] 21 46
[201,300] 16 62
[901,1000]
How many are there between 10,000,001 and 10,000,100 ?
What does all this data suggest?
