1000.......0001 <--- i can thnk of some properties of this one

(e.g. -- even (>2) digits , then div. by 11)

after (11 and) 101 (prime), there's (probably) no more primes of this form

Can someone suggest how to prove this ?


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i know that 1111...1111 (in any Base) is NonPrime
( if there are even digits (>2) , or )
if the Number of digits is nonPrime (or Composite)

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