square-free

P.P.S. i'm chainsmoking in hopes of making myself so sick of fags that i'll have to the determination [just in case i'll need it] to stay square-free.

pojken Diary Entry pojken 2008

: (Wang, 2007)   qρ (n − 1) + 1, qρ (n − 1) square-free; q − 1 q − 1 rq (n, ρ) ≥ 10 38

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Find a deterministic algorithm which, when given an integer k, is guaranteed to locate an adjacent pair n, n+1 of square-free numbers of at least k digits, in time polynomial in k.

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Every Carmichael number is square-free and has at least three different prime factors

Citizendium, the Citizens' Compendium - Recent changes [en] 2008

Every Carmichael number is square-free and has at least three different prime factors

Citizendium, the Citizens' Compendium - Recent changes [en] 2008

\, square-free, then μ (n) = +1 if n has an even number of prime factors and -1 if zeta function shows that formally at least

Citizendium, the Citizens' Compendium - Recent changes [en] 2008

(Note that finding one large square-free number is easy - just multiply a lot of small primes together.

What's new 2009

Adjacent large square-free numbers exist in abundance, but actually finding one deterministically is not obvious.) factoring oracle.

What's new 2009

We are creating the world's most trusted encyclopedia and knowledge base. log in, you'll be able to edit this page instantly! contribs) (new entry, just a stub) square-free, then μ (n) = +1 if n has an even number of prime factors and -1 if zeta function shows that formally at least

Citizendium, the Citizens' Compendium - Recent changes [en] 2008