Find 2000 consecutive composite numbers.
(Of course you can't do this by trial and error alone)
For those who do not know what a composite number is, it is any integer greater than 1 that is not prime. (4, 6, 8, 9, ...)
The prime 716632572105294061650160539001721 is followed by a prime gap of exactly 2000, i.e. 1999 composite numbers, requiring only 33 digits to do it.
Smaller primes are followed by larger numbers of composites; e.g. 8072248000022287004415958957 is followed by a prime gap of 2040, i.e. 2039 composites, but has only 28 digits.
Edited on November 17, 2016, 9:22 pm
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Posted by broll
on 2016-11-17 13:54:45 |