Please solve question no 17
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hey mate
here is the answer.....
Answer:
given:
p1,p2,p3,.....pn are distinct odd prime numbers.
then,by fundamental theorem of arithmetic,
we must have a prime number(p) such that
p=p1*p2*p3....pn
and this factoristion is unique except for the order in which they occur.
so,
(p+1) and p will be co-prime as consecutive number are always co-prime.(that is their hcf is 1)
for example: 2and 3 , 4 and 5
but we know that p is prime,so (p+1) will also be prime.
this also proves that there is infinite prime numbers.
so,(p1p2p3...pn+1) will be a prime number..
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