A333960 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.

2, 3, 5, 7, 26, 35, 37, 57, 355, 278, 279, 359, 299, 557, 389, 579, 999, 2699, 2799, 5579, 5777, 3889, 4788, 3999, 35559, 26999, 29999, 47888, 277777, 357799, 267999, 557779, 288999, 2777778, 689999, 779999, 2688888, 7777888, 26777777, 6788899, 27777899, 47778899, 67788888, 77788888, 2677777889, 7777777788, 26888888889

Offset

1,1

Comments

Primitive sequence to A333955.

Links

Table of n, a(n) for n=1..47.

Example

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.
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.

Crossrefs

Cf. A002473, A003001, A009994, A028843, A333955.

Sequence in context: A024777 A002957 A333955 * A273726 A211660 A215155

Adjacent sequences: A333957 A333958 A333959 * A333961 A333962 A333963

Keyword

nonn,base

Author

David A. Corneth, Apr 11 2020

Status

approved