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%I #12 Apr 23 2020 23:05:09
%S 2,3,5,7,26,35,37,57,355,278,279,359,299,557,389,579,999,2699,2799,
%T 5579,5777,3889,4788,3999,35559,26999,29999,47888,277777,357799,
%U 267999,557779,288999,2777778,689999,779999,2688888,7777888,26777777,6788899,27777899,47778899,67788888,77788888,2677777889,7777777788,26888888889
%N Numbers k with digits in nondecreasing order and each digit > 1 such that the iterated product of digits of k is a prime and k is the least positive integer with this property and its product of digits.
%C Primitive sequence to A333955.
%e 26 is in the sequence. It has iterated product of digits 2 which is prime and its digits are in nondecreasing order and all digits are > 1 and 26 is the least integer with these properties having product of digits 12.
%e 34 is not in the sequence. It has all properties mentioned above except it has product of digits 12 where 34 isn't the least positive integer with those properties and product of digits 12.
%Y Cf. A002473, A003001, A009994, A028843, A333955.
%K nonn,base
%O 1,1
%A _David A. Corneth_, Apr 11 2020
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