11,055 Pages

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

Community content is available under CC-BY-SA unless otherwise noted.