22223: Near Repdigit 22..223

First few terms (base 10): \[[2^*3_{10}]_n=\{3,23,223,2223,22223,\ldots\}\]

General Formula:\[[2^*3_{10}]_n={20\cdot10^{n}+7\over9}\]

Equivalent Patterns: \[[6^*9_{10}]_n=3\cdot[2^*3_{10}]_n\] \[[20^*7_{10}]_n=9\cdot[2^*3_{10}]_n\] \[[4^*6_{10}]_n=2\cdot[2^*3_{10}]_n\] \[[13^*8_{10}]_n=6\cdot[2^*3_{10}]_n\] \[[1^*5_{10}]_n=5\cdot[2^*3_{10}]_{n-1}\] \[[5^*75_{10}]_n=25\cdot[2^*3_{10}]_n\]

See Also: Factorization of 22..223 on stdkmd.net

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