TITLE: Big-Daddy-Conjectures and Hierarchy of Mathematical Conjectures
QUESTION [14 upvotes]: I am interested in the Hierarchy and Connections between various different open problems in Mathematics, and the most general conjectures in various fields of Mathematics.
Examples of Hierachy
Solved

Fermat's Last Theorem $\subset$ Tanijama-Shimura Conjecture $\subset$ Serre's modularity conjecture
Fermat's Last Theorem $\subset$ Euler's conjecture (counterexamples known, therefore too strong)
Poincarè conjecture $\subset$ Geometrization conjecture

Unsolved

Fermat's Last Theorem with big exponents $\subseteq$ ABC-conjecture 
Twin Prime Conjecture $\subset$ Hardy–Littlewood conjecture $\subset$ Schinzel's hypothesis H $\subset$ Bateman–Horn conjecture
Riemann hypothesis $\subset$ Generalized Riemann hypothesis $\subset$ Grand Riemann hypothesis
Cramér's conjecture $\subset$ Firoozbakht's conjecture
P vs. PSPACE $\subset$ P vs. NP-Problem $\subseteq$ Existance of One-Way-Functions

Examples of Big-Daddy-Conjectures

Schanuel's Conjecture in transcendence theory
Bateman–Horn conjecture in prime number theory
Existance of One-Way-Functions in complexity theory

Questions

Are there complete lists of the dependencies between different conjectures in mathematics available?
What are the most general Conjectures in various fields of Mathematics?
(How can one ask this questions in a better way?)

REPLY [4 votes]: The Riemann Hypothesis is a special case of the Generalized Riemann Hypothesis, which is a special case of the Grand Riemann Hypothesis.