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Gelfand's Question -- from Wolfram MathWorld

n Sloane's 2^n 3^n 4^n 5^n 6^n 7^n 8^n 9^n 1 A000027 2 3 4 5 6 7 8 9 2 A002993 4 9 1 2 3 4 6 8 3 A002994 8 2 6 1 2 3 5 7 4 A097408 1 8 2 6 1 2 4 6 5 A097409 3 2 1 3 7 1 3 5 6 A097410 6 7 4 1 4 1 2 5 7 A097411 1 2 1 7 2 8 2 4 8 A097412 2 6 6 3 1 5 1 4 9 A097413 5 1 2 1 1 4 1 3 10 A097414 1 5 1 9 6 2 1 3 Consider the leftmost (i.e., most significant) decimal digit of the numbers 2^n, 3^n, ..., 9^n. Then what are the patterns of digits occurring in the table for n=1, 2, ... (King 1994)? For...



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Gelfand's Question -- from Wolfram MathWorld

https://mathworld.wolfram.com/GelfandsQuestion.html

n Sloane's 2^n 3^n 4^n 5^n 6^n 7^n 8^n 9^n 1 A000027 2 3 4 5 6 7 8 9 2 A002993 4 9 1 2 3 4 6 8 3 A002994 8 2 6 1 2 3 5 7 4 A097408 1 8 2 6 1 2 4 6 5 A097409 3 2 1 3 7 1 3 5 6 A097410 6 7 4 1 4 1 2 5 7 A097411 1 2 1 7 2 8 2 4 8 A097412 2 6 6 3 1 5 1 4 9 A097413 5 1 2 1 1 4 1 3 10 A097414 1 5 1 9 6 2 1 3 Consider the leftmost (i.e., most significant) decimal digit of the numbers 2^n, 3^n, ..., 9^n. Then what are the patterns of digits occurring in the table for n=1, 2, ... (King 1994)? For...



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https://mathworld.wolfram.com/GelfandsQuestion.html

Gelfand's Question -- from Wolfram MathWorld

n Sloane's 2^n 3^n 4^n 5^n 6^n 7^n 8^n 9^n 1 A000027 2 3 4 5 6 7 8 9 2 A002993 4 9 1 2 3 4 6 8 3 A002994 8 2 6 1 2 3 5 7 4 A097408 1 8 2 6 1 2 4 6 5 A097409 3 2 1 3 7 1 3 5 6 A097410 6 7 4 1 4 1 2 5 7 A097411 1 2 1 7 2 8 2 4 8 A097412 2 6 6 3 1 5 1 4 9 A097413 5 1 2 1 1 4 1 3 10 A097414 1 5 1 9 6 2 1 3 Consider the leftmost (i.e., most significant) decimal digit of the numbers 2^n, 3^n, ..., 9^n. Then what are the patterns of digits occurring in the table for n=1, 2, ... (King 1994)? For...

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      Gelfand's Question -- from Wolfram MathWorld
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      n Sloane's 2^n 3^n 4^n 5^n 6^n 7^n 8^n 9^n 1 A000027 2 3 4 5 6 7 8 9 2 A002993 4 9 1 2 3 4 6 8 3 A002994 8 2 6 1 2 3 5 7 4 A097408 1 8 2 6 1 2 4 6 5 A097409 3 2 1 3 7 1 3 5 6 A097410 6 7 4 1 4 1 2 5 7 A097411 1 2 1 7 2 8 2 4 8 A097412 2 6 6 3 1 5 1 4 9 A097413 5 1 2 1 1 4 1 3 10 A097414 1 5 1 9 6 2 1 3 Consider the leftmost (i.e., most significant) decimal digit of the numbers 2^n, 3^n, ..., 9^n. Then what are the patterns of digits occurring in the table for n=1, 2, ... (King 1994)? For...
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      n Sloane's 2^n 3^n 4^n 5^n 6^n 7^n 8^n 9^n 1 A000027 2 3 4 5 6 7 8 9 2 A002993 4 9 1 2 3 4 6 8 3 A002994 8 2 6 1 2 3 5 7 4 A097408 1 8 2 6 1 2 4 6 5 A097409 3 2 1 3 7 1 3 5 6 A097410 6 7 4 1 4 1 2 5 7 A097411 1 2 1 7 2 8 2 4 8 A097412 2 6 6 3 1 5 1 4 9 A097413 5 1 2 1 1 4 1 3 10 A097414 1 5 1 9 6 2 1 3 Consider the leftmost (i.e., most significant) decimal digit of the numbers 2^n, 3^n, ..., 9^n. Then what are the patterns of digits occurring in the table for n=1, 2, ... (King 1994)? For...

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      n Sloane's 2^n 3^n 4^n 5^n 6^n 7^n 8^n 9^n 1 A000027 2 3 4 5 6 7 8 9 2 A002993 4 9 1 2 3 4 6 8 3 A002994 8 2 6 1 2 3 5 7 4 A097408 1 8 2 6 1 2 4 6 5 A097409 3 2 1 3 7 1 3 5 6 A097410 6 7 4 1 4 1 2 5 7 A097411 1 2 1 7 2 8 2 4 8 A097412 2 6 6 3 1 5 1 4 9 A097413 5 1 2 1 1 4 1 3 10 A097414 1 5 1 9 6 2 1 3 Consider the leftmost (i.e., most significant) decimal digit of the numbers 2^n, 3^n, ..., 9^n. Then what are the patterns of digits occurring in the table for n=1, 2, ... (King 1994)? For...

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      n Sloane's 2^n 3^n 4^n 5^n 6^n 7^n 8^n 9^n 1 A000027 2 3 4 5 6 7 8 9 2 A002993 4 9 1 2 3 4 6 8 3 A002994 8 2 6 1 2 3 5 7 4 A097408 1 8 2 6 1 2 4 6 5 A097409 3 2 1 3 7 1 3 5 6 A097410 6 7 4 1 4 1 2 5 7 A097411 1 2 1 7 2 8 2 4 8 A097412 2 6 6 3 1 5 1 4 9 A097413 5 1 2 1 1 4 1 3 10 A097414 1 5 1 9 6 2 1 3 Consider the leftmost (i.e., most significant) decimal digit of the numbers 2^n, 3^n, ..., 9^n. Then what are the patterns of digits occurring in the table for n=1, 2, ... (King 1994)? For...
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