Question about HP 35s Scientific Calculator
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Posted on Jan 02, 2017
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I don't have that calculator handy, but I imagine the problem is that 7^35 is an awful big number and the calculator would put it in scientific notation. So can we rearrange the question so that we can do it on the calculator.
The 7 is already prime, so we can't do much with that.
However, we can divide up the 35 into its factors of 7 and 5.
Thus, 7^35 mod 561 = (7^5)^7 mod 561
This becomes 7^5 mod 561 ^ 7 mod 561
16807 mod 35 ^7 mod 561
538 ^ 7 mod 561
I chIIIIIIIIIGood luck.
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