Out that every two consecutive number one will always be even. There is just one also prime number.
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Whether there space an infinite number of pairs that primes which differ by 2 (the pair prime conjecture) is still open e.g. $3,5; 41, 43; 101,103$. A significant amount of progress has actually been made recently, but a new idea is most likely to be required to cracked the problem.
Since 2 is the just prime even number, It"s feasible because the next even number, 4, is a composite number, as is every single even number ~ that due to the fact that they room all same divisible by 2. Since of all the also numbers beginning with 4 space composite, it"s impossible to have actually two much more prime consecutives. Or another way to to speak it is that as soon as you identify a prime number, it"s guarantee that the number immediately preceding it, and the number succeeding it are going to it is in composite.
2 and also 3 are only consecutive element numbers together 2 is the only even prime number and after the each continually pair includes one even and also another weird number.
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