Solutions - Missouri State University
... make their numbers of divisors the same. Also, 107n and 1953n should have the same number of divisors. Hence, all prime divisors of n must be from 107’s and/or 1953’s. For convenience, write n 19a 153b 1107c 1 , where a, b, c 1. Then, 107n 19b 153c 1107 d has ab(c + 1) divisors and 19 ...
... make their numbers of divisors the same. Also, 107n and 1953n should have the same number of divisors. Hence, all prime divisors of n must be from 107’s and/or 1953’s. For convenience, write n 19a 153b 1107c 1 , where a, b, c 1. Then, 107n 19b 153c 1107 d has ab(c + 1) divisors and 19 ...
36(2)
... Property 5 (Generalizations): The derivations of Properties 1-4 rely (if at all) only on the lefthand (p = -l) zero boundary conditions. They thus apply to the Pascal array generalized by arbitrary top-row entries and hence to left-justified sub-arrays of the Pascal square. In particular, all square ...
... Property 5 (Generalizations): The derivations of Properties 1-4 rely (if at all) only on the lefthand (p = -l) zero boundary conditions. They thus apply to the Pascal array generalized by arbitrary top-row entries and hence to left-justified sub-arrays of the Pascal square. In particular, all square ...
