[seqfan] 1_66666_5: square uses only prime digits

zak seidov zakseidov at yahoo.com
Wed Dec 10 18:58:56 CET 2008


Dear SeqFans,

Is 1_66666_5 
(numbers with arbitrary number, k, of 6's, between 1 and 5,
including 15 with zero 6's)
the only pattern whose square uses  only digits prime:

2_77777_222222_5 =>  2_(k 7's)_((k+1) 2's)_5?

k = 0 :    15^2 = 225
k = 1 :  165^2 = 27225
k = 2 : 1665^2 = 2772225, etc

thx, zak


      




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