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Repunits and bases (Posted on 2013-07-24) Difficulty: 3 of 5
112=3 and 1113=13 are prime. However, 11114=85=5*17 and 111115=781=11*71 are not prime. What is the least number n>3 such that the repunit consisting of n 1's in base n is prime?

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  Subject Author Date
re(3): Answer: for any composite, odd or evenSteve Herman2013-07-25 09:31:14
Hints/Tipsre(2): Answer: for any composite, odd or evenAdy TZIDON2013-07-24 15:36:40
Questionre(2): Answer:Steve Herman2013-07-24 12:53:15
Questionre: Answer:Charlie2013-07-24 12:42:29
Solutioncomputer solutionCharlie2013-07-24 12:40:09
Answer:broll2013-07-24 11:29:46
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