Irregular Pair
If 
divides the Numerator of the Bernoulli Number 
for 
, then 
is called anirregular pair. For 
, the irregular pairs of various forms are 
for 
, 
for 
,none for 
, and 
for 
.
References
Johnson, W. ``Irregular Primes and Cyclotomic Invariants.'' Math. Comput. 29, 113-120, 1975.
- Gauss's Circle Problem
- Gauss's Class Number Conjecture
- Gauss's Class Number Problem
- Gauss's Constant
- Gauss's Criterion
- Gauss's Double Point Theorem
- Gauss's Equation (Radius Derivatives)
- Gauss's Formula
- Gauss's Formulas
- Gauss's Forward Formula
- Gauss's Harmonic Function Theorem
- Gauss's Hypergeometric Theorem
- Gauss's Inequality
- Gauss's Interpolation Formula
- Gauss's Lemma
- Gauss's Machin-Like Formula
- Gauss's Mean-Value Theorem
- Gauss's Polynomial Theorem
- Gauss's Reciprocity Theorem
- Gauss's Test
- Gauss's Theorem
- Gauss's Theorema Egregium
- Gauss's Transformation
- Gear Graph
- Gegenbauer Function