It has recently been proven that there are infinitely many prime numbers not containing all decimal digits.[1] The largest known prime of this kind seems to be equal to \(653\times 10^{1,435,026}-1\); it has been discovered in 2014.[2][3]

Records

Missing digit(s) Prime number Year found Number of digits
0 \(653 \times 10^{1,435,026}−1\) 2014 1,435,029
1 \(653 \times 10^{1,435,026}−1\) 2014 1,435,029
2 \(684 \times 10^{1,127,118}+1\) 2017 1,127,121
3 \(653 \times 10^{1,435,026}−1\) 2014 1,435,029
4 \(653 \times 10^{1,435,026}−1\) 2014 1,435,029
5 \(684 \times 10^{1,127,118}+1\) 2017 1,127,121
6 \(2 \times 10^{1,059,002}−1\) 2013 1,059,003
7 \(653 \times 10^{1,435,026}−1\) 2014 1,435,029
8 \(653 \times 10^{1,435,026}−1\) 2014 1,435,029
9 \(684 \times 10^{1,127,118}+1\) 2017 1,127,121
4 and 9 \(7 \times 10^{902,708}+1\) 2013 902,709
0, 2, 4, 6 and 8 \(2 \times 10^{1,059,002}−1\) 2013 1,059,003

Sources

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