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Special Numbers and Sequences Problems

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SPECIAL NUMBERS AND SEQUENCES



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This post is a part of the Special Questions Directory focusing on Quant topics traditionally neglected and not covered by conventional sources but still tested on the GMAT. Many of these are above average difficulty questions

Questions about special numbers and sequences. Note that you do NOT need to know or study these numbers or sequences in advance, the questions themselves will contain their definition. If you encounter such kind of questions, read the definition carefully and don't be confused by weird numbers/sequences described there.

A square-free integer: a-positive-integer-is-called-square-free-if-it-has-no-fact-159462.html

A Sophie Germain prime: a-sophie-germain-prime-is-any-positive-prime-number-p-for-132650.html

A Farey sequence: a-farey-sequence-of-order-n-is-the-sequence-of-fractions-129825.html

A coprime sequence: an-infi-nite-sequence-of-positive-integers-is-called-a-127496.html

A perfect sequence: an-infinite-sequence-of-positive-integers-is-called-a-127696.html

Twin primes: twin-primes-are-defined-as-prime-numbers-that-can-be-express-128433.html

Length of an integer:
for-any-positive-integer-n-n-1-the-length-of-n-is-the-126368.html
for-any-integer-k-1-the-term-length-of-an-integer-108124.html
for-any-positive-integer-n-the-length-of-n-is-defined-as-126740.html

Rhyming primes:
two-different-primes-may-be-said-to-rhyme-128903.html
two-different-primes-may-be-said-to-rhyme-around-an-integer-107290.html

The connection between integers: the-connection-between-any-two-positive-integers-a-and-b-128360.html

Sexy primes: a-pair-of-prime-numbers-that-can-be-expressed-in-the-form-p-174141.html

Alpha sequence: an-infinite-sequence-of-positive-integers-is-called-an-alph-55723.html

Beta sequence: an-infinite-sequence-of-positive-integers-is-called-a-beta-151947.html

A repunit number: a-repunit-is-a-positive-integer-that-contains-only-the-digit-174819.html#p1385302

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