Comes from the textbook, Elementary Number Theory 6th edtion. 5. Let p be a prime. Show that for all integer a we have that pla® + (p – 1)! a andpla + (p – 1)! aPNext some problems not directly related with congruencies but typical of arithmetic.6. Five men collected several coconuts from a deserted island, and they decided to divide thecoconuts the next day. During the night, one of them decided to separate his part so he dividedthe total in 5 groups and give the left-over coconut to a nearby monkey, the man went to sleep.Next, another man did the same with the remainders coconuts and give the left-over coconut tothe monkey. During the night, every man did the same. Next morning the men divide theremainder coconuts and give the left-over coconut to the monkey. Question: What is theminimum number of original coconuts?7. Ihave weights that weight power of 2 kilograms, like 1, 2, 4, 8, 16,...kilograms. Which weightsare necessary to weight 213 kilograms?

Name: Comes from the textbook, Elementary Number Theory 6th edtion. 5. Let p
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Comes from the textbook, Elementary Number Theory 6th edtion. 5. Let p be a prime. Show that for all integer a we have that pla® + (p – 1)! a andpla + (p – 1)! aPNext some problems not directly related with congruencies but typical of arithmetic.6. F