OFFSET
1,1
COMMENTS
This sequence is a subsequence of A140057, A078348, and A108571. There are 129 terms; the largest is 7777777666666444455555223331. As 1, 122, and 221 are not prime and any such numbers whose maximum digit is 4, 8, or 9 are divisible by 3, all terms of the sequence have either 6 (1 term), 15 (8 terms), 21 (24 terms), or 28 (96 terms) decimal digits (=triangular numbers A000217(n) for n=3,5,6,7, respectively).
None of the terms have nondecreasing or nonincreasing decimal digits. - Rick L. Shepherd, Feb 23 2013
LINKS
Rick L. Shepherd, Table of n, a(n) for n = 1..129 (full sequence)
EXAMPLE
1333444455555226666667777777 is a term because it is a prime meeting the criteria: It contains all digits 1 through 7, its maximum, each appearing in a single run of length equal to the value of the digit.
CROSSREFS
KEYWORD
base,easy,fini,full,nonn
AUTHOR
Rick L. Shepherd, Sep 17 2009
STATUS
approved