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Trac #34901: random doctest failure in src/doc/en/thematic_tutorials/…
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…group_theory.rst

Part of #32544:

{{{
sage -t --long --random-seed=185470747385175316039405094141387664605
src/doc/en/thematic_tutorials/group_theory.rst
**********************************************************************
File "src/doc/en/thematic_tutorials/group_theory.rst", line 207, in
doc.en.thematic_tutorials.group_theory
Failed example:
    euler_phi(m*n) == euler_phi(m) * euler_phi(n)
Expected:
    True
Got:
    False
**********************************************************************
1 item had failures:
   1 of 170 in doc.en.thematic_tutorials.group_theory
    [127 tests, 1 failure, 4.40 s]
}}}

(From a patchbot run in #34880.)

URL: https://trac.sagemath.org/34901
Reported by: lorenz
Ticket author(s): Frédéric Chapoton
Reviewer(s): Lorenz Panny
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Release Manager committed Feb 11, 2023
2 parents 5d51422 + a8ee692 commit fb4f2e4
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2 changes: 1 addition & 1 deletion src/doc/en/thematic_tutorials/group_theory.rst
Original file line number Diff line number Diff line change
Expand Up @@ -204,7 +204,7 @@ Experiment by running the following code several times::

sage: m = random_prime(10000)
sage: n = random_prime(10000)
sage: euler_phi(m*n) == euler_phi(m) * euler_phi(n)
sage: euler_phi(m*n) == euler_phi(m) * euler_phi(n) or m == n
True

Feel a conjecture coming on? Can you generalize this result?
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