SOLUTION: If a,b,c,d, and e are distinct prime numbers such that: b=(a-1)^1/2 +1 ; c=(b-1)^1/2 +1 ; d=(c-1)^1/2 +1 ; e= (d-1)^1/2 +1 ; Find the least possible value of a+b+c+d+e A) 65537

Algebra ->  Expressions-with-variables -> SOLUTION: If a,b,c,d, and e are distinct prime numbers such that: b=(a-1)^1/2 +1 ; c=(b-1)^1/2 +1 ; d=(c-1)^1/2 +1 ; e= (d-1)^1/2 +1 ; Find the least possible value of a+b+c+d+e A) 65537       Log On


   

Question 1168701: If a,b,c,d, and e are distinct prime numbers such that: b=(a-1)^1/2 +1 ; c=(b-1)^1/2 +1 ; d=(c-1)^1/2 +1 ; e= (d-1)^1/2 +1 ; Find the least possible value of a+b+c+d+e
A) 65537
B) 65536
C) 65816
D) 65819
E) 65814
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!



a, b, c, d, and e are the five known prime Fermat numbers (in descending order)

65537, 257, 17, 5, and 3.

A Fermat number is of the form .

e, d, c, b, a are for

for believed to be composite.

John

My calculator said it, I believe it, that settles it


I > Ø