internauka292020

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№ 29 (158), 2020 .

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ABOUT COLLATZ CONJECTURE Evgeniy Amosov associate professor, Samara state technical university Russia, Samara ,

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ABSTRACT It is shown that using the operations of division by 2 and multiplication by 3 with the addition of 1, you can get an integer multiple of 5. : , .

Keywords: Collatz Conjecture, Syracuse sequence. ё

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ё b=1, 3, 5, 7, 9.

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1 2, b,

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b=7 7∙3+1=22, 22/2 =11=10+1, .

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b=9

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b=5,

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b=3, ,

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3∙3+1=10, ,

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b=1

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1∙3+1=4, 4∙3+1=13=10+3, 3∙3+1=10,

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4/2=2, 15

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5k.

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5, k,

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9∙3+1=28, 28/2 =14=10+4, 4∙3+1=13=10+3, 3∙3+1=10.

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2∙3+1=7,

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2 n n=10a + b, , b–

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5k=4k+k, , ё ,

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