Question

what is the day 1,000,000 days from now?

Answer 1

divide by 7, take the remainder

Answer 2

so what is the answer? medal for this one

Answer 3

first one gets medal

Answer 4

medal is going away in 5 sec.

Answer 5

what would be the premise of time keeping?

Answer 6

my watch

Answer 7

i mean including leap year or not

Answer 8

oh, no leap years

Answer 9

october 10 1,002,011

Answer 10

I didn't need the date, I wanted the day of the week

Answer 11

ahh ok hold on

Answer 12

medal anyway 'cause u actually answered. the correct day is tuesday

Answer 13

are you familiar with modular arithmetic? if so, then you can easily answer this question

Answer 14

tell me the answer, i think i miscalculated

Answer 15

As a check, see http://www.nr.com/julian.html?delta=++144

Answer 16

Do 1000000 mod 7

Answer 17

\[\Large 10 \equiv 3 (\text{mod} 7)\]


\[\Large 10^6 \equiv 3^6 (\text{mod} 7)\]


\[\Large 1,000,000 \equiv (3^2)^3 (\text{mod} 7)\]


\[\Large 1,000,000 \equiv (9)^3 (\text{mod} 7)\]


\[\Large 1,000,000 \equiv 2^3 (\text{mod} 7)\]


\[\Large 1,000,000 \equiv 8 (\text{mod} 7)\]


\[\Large 1,000,000 \equiv 1 (\text{mod} 7)\]



So 1,000,000 days after today (say Sunday) is really 1 day after today


So 1,000,000 days after Sunday is Monday

Answer 18

oh thx

Answer 19

what jimthompson is telling you is that if you divide 1,000,000 by 7, the remainder is 1.

Answer 20

exactly, but this is a very nice shortcut

Answer 21

i agree