MathDB

1

Part of 2016 Hanoi Open Mathematics Competitions

Problems(2)

2016 = 2^5 + 2^6 + ...+ 2^m (HOMC 2016 J Q1)

Source:

8/6/2019
If 2016=25+26+...+2m2016 = 2^5 + 2^6 + ...+ 2^m then mm is equal to
(A): 88 (B): 99 (C): 1010 (D): 1111 (E): None of the above.
algebraexponential equations
10-digit numbers by digits 1, 2, 3 (HOMC 2016 S Q1)

Source:

9/8/2019
How many are there 1010-digit numbers composed from the digits 1,2,31, 2, 3 only and in which, two neighbouring digits differ by 11 :
(A): 4848 (B): 6464 (C): 7272 (D): 128128 (E): None of the above.
number theoryDigits