math

posted by .

Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How
many prime-like positive integers are there less than 100? less than 1000? A positive integer
is very prime-like if it is not divisible by any prime less than 15. How many very primelike
positive integers are there less than 90000? Without giving an exact answer, can you
say approximately how many very prime-like positive integers are less than 1010? less than
10100? Explain your reasoning as carefully as you can.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. discrete math

    which positive integers less than 12 are relatively prime to 13 Since 13 has no factors, then all integers 2, 3, 4, 5, 6....11 are relatively prime to 13
  2. discrete math

    Could someone help me with this induction proof. I know its true. given then any integer m is less than or equal to 2, is it possible to find a sequence of m-1 consecutive positive integers none of which is prime?
  3. math

    According to the Journal of Irreproducible Results, any obtuse angle is a right angle! Here is their argument. Given the obtuse angle x, we make a quadrilateral ABCD with  DAB = x, and  ABC = 90◦, andAD = BC. Say the perpendicular …
  4. MATH

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100?
  5. MATH

    TWO INTEGERS ARE DEFINED AS "PARTNERS" IF BOTH OF THEIR PRIME FACTORIZATIONS CONTAIN ALL THE SAME PRIME FACTORS. FOR EXAMPLE, 15 AND 45 ARE PARTNERS SINCE BOTH ARE DIVISIBLE BY THE SAME SET OF PRIME NUMBERS 3 AND 5. HOW MANY POSITIVE …
  6. algebra

    Find the sum of all positive integers c such that for some prime a and a positive integer b, a^b+b^a=c^a.
  7. Math (Complex Numbers)

    Let N be the sum of all prime powers that can be written as 4^n+n^4 for some positive integer n. What are the last 3 digits of N?
  8. heeeelp math

    For each positive integer n, let Hn=1/1 + 1/2 +⋯+ 1/n . If ∑ (up)∞ (base)(n=4) 1/n*Hn*H(n-1)= a/b for relatively prime positive integers a and b, find a+b.
  9. pls heeelp math

    For each positive integer n, let H _{n} = 1/1 +1/2 +⋯+ 1/n sum_{n=4}^{∞} 1/n*H_{n}*H_{n-1}=a/b for relatively prime positive integers a and b, find a+b
  10. algebra

    Call a positive integer N ≥ 2 “special” if for every k such that 2 ≤ k ≤ N, N can be expressed as a sum of k positive integers that are relatively prime to N (although not necessarily relatively prime to each …

More Similar Questions