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Fungrim entry: 28bf9a

γ{pq:pZandqZ1andq10242080}\gamma \notin \left\{ \frac{p}{q} : p \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, q \in \mathbb{Z}_{\ge 1} \,\mathbin{\operatorname{and}}\, q \le {10}^{242080} \right\}
References:
  • J. Havil (2003): Exploring Euler's Constant. Princeton University Press. Page 97.
TeX:
\gamma \notin \left\{ \frac{p}{q} : p \in \mathbb{Z} \,\mathbin{\operatorname{and}}\, q \in \mathbb{Z}_{\ge 1} \,\mathbin{\operatorname{and}}\, q \le {10}^{242080} \right\}
Definitions:
Fungrim symbol Notation Short description
ConstGammaγ\gamma The constant gamma (0.577...)
ZZZ\mathbb{Z} Integers
ZZGreaterEqualZn\mathbb{Z}_{\ge n} Integers greater than or equal to n
Powab{a}^{b} Power
Source code for this entry:
Entry(ID("28bf9a"),
    Formula(NotElement(ConstGamma, Set(Div(p, q), For(Tuple(p, q)), And(Element(p, ZZ), Element(q, ZZGreaterEqual(1)), LessEqual(q, Pow(10, 242080)))))),
    References("J. Havil (2003): Exploring Euler's Constant. Princeton University Press. Page 97."))

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2019-10-05 13:11:19.856591 UTC