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Dubs theory thread

Name: Anonymous 2016-03-19 15:03

WELCOME DUBS THEORY RESEARCHERS

here you can talk about your most recent finds regarding dubs theory, I will start with the well know ``dubsless primes'':

- let к(n) be the number of bases in which n has dubs excluding base 1 and base n-1 as these are trivial, we shall call n a dubsless number if к(n)=0 and n>3

- the dubsless numbers up to 10000 are 5, 6, 29, 41, 61, 113, 317, 509, 569, 761, 797, 1213, 1229, 2617, 5297, 6221 and 8017. it turns out that all of these numbers except 6 are prime, and up to 10 million all except 6 are prime, we call these primes the ``dubsless primes'' a new kind of primes. this raises the following questions in dubs theory:

- is the set of dubsless numbers/primes infinite?
- is 6 the only non prime dubsless number?

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