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For equation X^2=X among infinite from left numbers there are 3 known solution: 0= ...00000, 1= ...00001 and 5^2^infinity = ...12890625. Give last 8 digits

For equation X^2=X among infinite from left numbers there are 3 known solution: 0= ...00000, 1= ...00001 and 5^2^infinity = ...12890625. Give last 8 digits of one more solution whose last digit is 6: ...??????????6

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