10001: Depression 100..001

First few terms (base 10): \[[10^*1_{10}]_n=\{11,101,1001,10001,100001,\ldots\}\]

General Formula:\[[10^*1_{10}]_n=10\cdot10^{n}+1\]

Equivalent Patterns: \[[30^*3_{10}]_n=3\cdot[10^*1_{10}]_n\] \[[70^*7_{10}]_n=7\cdot[10^*1_{10}]_n\] \[[90^*9_{10}]_n=9\cdot[10^*1_{10}]_n\] \[[20^*2_{10}]_n=2\cdot[10^*1_{10}]_n\] \[[40^*4_{10}]_n=4\cdot[10^*1_{10}]_n\] \[[50^*5_{10}]_n=5\cdot[10^*1_{10}]_n\] \[[60^*6_{10}]_n=6\cdot[10^*1_{10}]_n\] \[[80^*8_{10}]_n=8\cdot[10^*1_{10}]_n\]

See Also: Factorization of 100..001 on stdkmd.net

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