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Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors - MaRDI portal

Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors (Q6148160)

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scientific article; zbMATH DE number 7786635
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English
Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors
scientific article; zbMATH DE number 7786635

    Statements

    title
    Computers as a novel mathematical reality. III: Mersenne numbers and sums of divisors (English)
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    author
    Nikolai A. Vavilov
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    publication date
    11 January 2024
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    Mathematics Subject Classification ID
    11-03
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    11A25
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    97F60
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    zbMATH DE Number
    7786635
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    zbMATH Keywords
    Mersenne primes
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    divisor sums
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    perfect numbers
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    amicable numbers
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    sociable numbers
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    aliquot sequences
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    Catalan-Mersenne conjecture
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    Catalan-Dickson conjecture
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    Guy-Selfridge conjecture
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    OpenAlex ID
    W4388625971
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    cites work
    Q3325792
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    Q3947717
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    Q4207996
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    Quasiperfect numbers
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    Q4759624
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    Q5829109
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    Q4274073
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    Q5533294
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    Q5605298
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    THE ALIQUOT CONSTANT
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    More Amicable Numbers
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    Q5804248
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    Q3859839
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    Q4740616
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    Multiamicable Numbers
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    Q3686772
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    Q3904658
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    On 𝜙-amicable pairs
    0 references
    Q3346388
    0 references
    Q3139838
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    A New Mersenne Prime
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    Q4882943
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    Q4182572
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    New Sociable Numbers
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    Q4456862
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    Q4207962
    0 references
    Q3139668
    0 references
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    0 references
    Quasi-Amicable Numbers
    0 references
    Odd perfect numbers
    0 references
    Q4745876
    0 references
    Q3966201
    0 references
    New Mersenne Primes
    0 references
    Almost Perfect Numbers
    0 references
    Q5783194
    0 references
    Q3803187
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    Harmonious pairs
    0 references
    Q5812276
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    Q4724693
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    Q4831461
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    Q4177637
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    Q3004895
    0 references
    Prime-Perfect Numbers
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    DIVISOR‐SUM FIBERS
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    Analytic Number Theory
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    Q5790662
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    Q4305275
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    Q3346390
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    Q4039755
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    Q4870979
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    My Numbers, My Friends
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    Q3661655
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    Q3312300
    0 references
    Q4325967
    0 references
    Q2878167
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    Mersenne Numbers
    0 references
    Mersenne Numbers
    0 references
    Q4650315
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    Q4417148
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    Q2968591
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    Q5242380
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    Q5663952
    0 references
    Super perfect numbers
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    Q3048892
    0 references
    On amicable tuples
    0 references
    Q5818548
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    Q4934921
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    Q3181724
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    Q3731660
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    Q3737488
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