a-b-c-d-N-a-b-c-d-is-quadruple-of-a-b-c-d-such-that-b-a-2-1-c-b-2-1-d-c-2-1-a-b-c-d-is-odd-number-s-k-is-

Question Number 84206 by naka3546 last updated on 10/Mar/20

a, b, c, d \in N

(a, b, c, d) i s q u a d r u p l e o f a, b, c, d s u c h t h a t

b = a^{2} + 1

c = b^{2} + 1

d = c^{2} + 1

τ (a) + τ (b) + τ (c) + τ (d) i s o d d n u m b e r (s) .

τ (k) i s t h e n u m b e r o f p o s i t i v e d i v i s o r o f n a t u r a l n u m b e r k .

a, b, c, d < 10^{6}

H o w m a n y q u a d r u p l e o f a, b, c, d ?