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27 May 2008 21:39:29 IST

Subject: Easy challenge in Number Theory - From Feynmann

feynmann (2423)

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Consider a sequence { ${a}_{n}$ } such that ${a}_{1}=2\;and\;{a}_{n+1}={a}_{n}^{2}-{a}_{n}+1$

How many distinct pairs chosen from this sequence have g.c.d.= 6 ?

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