Well da product given to dea first person isnt a prime no den he can gues da nos

now da sum given to da 2nd person cant be xpreesed as sum of prime no+1 since den da 2nd person mit not be able to noe for sure dat da first person is unaware of da nos

now each prime xpect 2&3 are xpressed as 6m-1 & 6m+1 ,so da sum doesnt equal 3,5or ne form 6m or 6m+2(ie prime+1)

letz da first person has been handed a certain no havin four factors ne1 pair of vich can be ritten as 3,4or 6m+1 6m+2 so da oder pair must be da nos........dat only one such pair shud xist amongst da all pair of factors...

if no given to p is 8....

den 8 either=4*2 or 8*1

now if nos are 4&2 den sum is 6 but six is ritten as 5+1 hence da nos must 8 &1.....

in dis way

Consider,

eliminating all numbers which have atleast two pairs of factors which cannot be written as 3,5,6m,6m+2

numbers between 1-40

so dere is more dan 1 pair of such nos..

lik 1,8 nd 1,15