设M=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1),试确定M-2006的个位数字是什M-2006是什么意思
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![设M=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1),试确定M-2006的个位数字是什M-2006是什么意思](/uploads/image/z/59964-60-4.jpg?t=%E8%AE%BEM%3D%282%2B1%29%282%5E2%2B1%29%282%5E4%2B1%29%282%5E8%2B1%29%282%5E16%2B1%29%282%5E32%2B1%29%282%5E64%2B1%29%2C%E8%AF%95%E7%A1%AE%E5%AE%9AM-2006%E7%9A%84%E4%B8%AA%E4%BD%8D%E6%95%B0%E5%AD%97%E6%98%AF%E4%BB%80M-2006%E6%98%AF%E4%BB%80%E4%B9%88%E6%84%8F%E6%80%9D)
设M=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1),试确定M-2006的个位数字是什M-2006是什么意思
设M=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1),试确定M-2006的个位数字是什
M-2006是什么意思
设M=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1),试确定M-2006的个位数字是什M-2006是什么意思
就是M减去2006的个位数字是多少,应该是9吧
3*5*17*……=.5,5和任意的奇数相乘个位数都是5,然后5-6=9
M=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^4-1)(2^4+1)(2^8+1)(2...
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M=(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^8-1)(2^8+1)(2^16+1)(2^32+1)(2^64+1)
=(2^16-1)(2^16+1)(2^32+1)(2^64+1)
=(2^32-1)(2^32+1)(2^64+1)
=(2^64-1)(2^64+1)
=2^128-1
2^128=4^64=16^32=(256)^16,因此个位数必为6
M-2006=2^128-1-2006=2^64-2007的个位数为9
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