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A277340
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Positive integers n such that n | (3^n + 11).
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8
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1, 2, 4, 7, 10, 92, 1099, 29530, 281473, 657892, 3313964, 9816013, 18669155396, 94849225930, 358676424226, 957439868543, 1586504109310, 41431374800470, 241469610359708, 256165266592379
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OFFSET
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1,2
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COMMENTS
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No other terms below 10^15. Some larger terms: 9151612250553176993, 1401778935853533028413047652833, 5645122353966835994338815444821661584288016927879134, 313*(3^626+11)/6562567821545333606830 (280 digits). - Max Alekseyev, Oct 14 2016
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LINKS
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EXAMPLE
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3^10 + 11 = 59060 = 10 * 5906, so 10 is a term.
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PROG
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(PARI) is(n)=Mod(3, n)^n==-11; \\ Joerg Arndt, Oct 10 2016
(Python)
A277340_list = [1, 2, 4, 7, 10]+[n for n in range(11, 10**6) if pow(3, n, n)==n-11] # Chai Wah Wu, Oct 11 2016
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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