p_max(10)=11 ?

3.8 p_max(10)=11 ?

min(10,0)=0, min(10,1)=10, min(10,2)=25, min(10,3)=39, min(10,4)=77, min(10,5)=679, min(10,6)=6788, min(10,7)=68889, min(10,8)=2677889, min(10,9)=268888999, min(10,10)=3778888999, min(10,11)=(2*7^6*8^6*9^2)=277777788888899

All numbers of the form 7^a*8^b*9^c, 2*7^a*8^b*9^c, 3*7^a*8^b*9^c, 4*7^a*8^b*9^c, 2*6*7^a*8^b*9^c, 5^a*7^b*9^c or 3*5^a*7^b*9^c must be checked. d(n,b) must not contaion a zero or simultaneous an even digit and a five. Maximal a+b+c, with not holding the criteria, was 155. Checked were alle numbers with a+b+c<=3000. Only the last 115 digits were needed.

4. Behaviour of p_max(b)

Last Update: by Sascha Kurz
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