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Fungrim entry: 89260d

p ⁣(7n+5)0(mod7)p\!\left(7 n + 5\right) \equiv 0 \pmod {7}
Assumptions:nZn \in \mathbb{Z}
TeX:
p\!\left(7 n + 5\right) \equiv 0 \pmod {7}

n \in \mathbb{Z}
Definitions:
Fungrim symbol Notation Short description
PartitionsPp(n)p(n) Integer partition function
ZZZ\mathbb{Z} Integers
Source code for this entry:
Entry(ID("89260d"),
    Formula(CongruentMod(PartitionsP(Add(Mul(7, n), 5)), 0, 7)),
    Variables(n),
    Assumptions(Element(n, ZZ)))

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2021-03-15 19:12:00.328586 UTC