Problem: Can all prime factors of $(a^{b \times c} - 1)$ be consecutive primes when $a, b, c \geq 3$ ?
Consecutive Prime Factors
5
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number-theory
elementary-number-theory
prime-factorization
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0Would things like $17^2\cdot 19^7\cdot 23$ be allowed as factorization or only $17\cdot 19\cdot 23$? – 2017-02-26
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0No $a=b=c=3$ So $a^{bc}-1=19682$ which factorise as 2*13*757 – 2017-02-26
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2@DonaldSplutterwit You answered to "Must ..." not "Can ..:" – 2017-02-26
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0@HagenvonEitzen ... right, my bad :-) – 2017-02-26
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0@HagenvonEitzen , yes, power factor is allowed. – 2017-02-26