International Journal of Mathematics and Mathematical Sciences / 2009 / Article / Tab 1

Research Article

Generalizing Benford's Law Using Power Laws: Application to Integer Sequences

Table 1

First digit distributions of some integer sequences.

Name of sequence Sample size Percentage of first digit occurrences


Benford law30.117.612.
Square root9919.
Prime < 1002516.
Prime < 100016814.911.311.311.910.110.710.710.18.9
Prime < 10000122913.011.911.311.310.711.010.210.310.3
Princeton number2528.
Mixing sequence61828.314.611.
Pentagonal number10035.
Keith number7132.414.
Bell number10031.
Catalan number10033.
Lucky number4542.
Ulam number4445.513.
Numeri ideoni6530.818.513.810.
Fibonacci number10030.
Partition number9428.717.

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