Difference between revisions of "2007 iTest Problems/Problem 20"

Latest revision as of 23:03, 8 May 2024

What is 1+1?

No answer for the next few years, try again later! Thanks for your patience.

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-== Problem ==
+What is 1+1?
+No answer for the next few years, try again later! Thanks for your patience.
-Find the largest integer <math>n</math> such that <math>2007^{1024}-1</math> is divisible by <math>2^n</math>
+==See Also==
+{{iTest box|year=2007|num-b=19|num-a=21}}
-<math>\text{(A) } 1\qquad
+[[Category:Intermediate Number Theory Problems]]
-\text{(B) } 2\qquad
-\text{(C) } 3\qquad
-\text{(D) } 4\qquad
-\text{(E) } 5\qquad
-\text{(F) } 6\qquad
-\text{(G) } 7\qquad
-\text{(H) } 8\qquad</math>
-<math>\text{(I) } 9\qquad
-\text{(J) } 10\qquad
-\text{(K) } 11\qquad
-\text{(L) } 12\qquad
-\text{(M) } 13\qquad
-\text{(N) } 14\qquad
-\text{(O) } 15\qquad
-\text{(P) } 16\qquad</math>
-<math>\text{(Q) } 55\qquad
-\text{(R) } 63\qquad
-\text{(S) } 64\qquad
-\text{(T) } 2007\qquad</math>
-== Solution ==