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Smallest number with additive and multiplicative persistence equal to n.
0

%I #6 Mar 20 2014 07:52:39

%S 0,10,28,289,2488888888888888999999999

%N Smallest number with additive and multiplicative persistence equal to n.

%C The corresponding smallest primes are 2, 11, 29, 487 and 2488888888888898999989999.

%e a(3) = 289 because 289 is the smallest number with additive persistence 3, 289 -> 19 -> 10 -> 1 and multiplicative persistence 3, 289 -> 144 -> 16 -> 6.

%Y Cf. A031346, A003001, A031286, A006050, A239427.

%K nonn,base

%O 0,2

%A _Giovanni Resta_, Mar 20 2014