[seqfan] Remainders and anagrams

Eric Angelini Eric.Angelini at kntv.be
Mon Jan 27 15:49:47 CET 2014


Hello Seqfans,

Look at 51: if I divide 51 by 18, I get a remainder of 15
-- and 15 is an "anagram" of 51 (51 = 18*2 + 15)

Look at 52 : if I divide 52 by 27, I get a remainder of 25
-- and 25 is an "anagram" of 52 (52 = 27*1 + 25)

But 53 leads to nothing -- I can't find any division giving
a remainder of 35.

Last example:
713 = 144*4 + 137

Is the family of such integers already in the OEIS? Or are
they too common? (then their complement might be of interest)

Best,
É.



   



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