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Ruth–Aaron pair

Index Ruth–Aaron pair

In mathematics, a Ruth–Aaron pair consists of two consecutive integers (e.g., 714 and 715) for which the sums of the prime factors of each integer are equal: and There are different variations in the definition, depending on how many times to count primes that appear multiple times in a factorization. [1]

22 relations: Maris–McGwire–Sosa pair, Ruth, Table of prime factors, The Housekeeper and the Professor, 10,000, 1000 (number), 104 (number), 105 (number), 125 (number), 153 (number), 154 (number), 2000 (number), 300 (number), 3000 (number), 400 (number), 5000 (number), 6000 (number), 700 (number), 78 (number), 8000 (number), 900 (number), 9000 (number).

Maris–McGwire–Sosa pair

In recreational mathematics, Maris–McGwire–Sosa pairs (MMS pairs, also MMS numbers) are two consecutive natural numbers such that adding each number's digits (in base 10) to the digits of its prime factorization gives the same sum.

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Ruth

Ruth (or its variants) may refer to.

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Table of prime factors

The tables contain the prime factorization of the natural numbers from 1 to 1000.

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The Housekeeper and the Professor

(literally "The Professor's Beloved Equation") is a novel by Yoko Ogawa set in modern-day Japan.

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10,000

10,000 (ten thousand) is the natural number following 9,999 and preceding 10,001.

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1000 (number)

1000 or one thousand is the natural number following 999 and preceding 1001.

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104 (number)

104 (one hundred four) is the natural number following 103 and preceding 105.

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105 (number)

105 (one hundred five) is the natural number following 104 and preceding 106.

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125 (number)

125 (one hundred twenty-five) is the natural number following 124 and preceding 126.

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153 (number)

153 (one hundred fifty-three) is the natural number following 152 and preceding 154.

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154 (number)

154 (one hundred fifty-four) is the natural number following 153 and preceding 155.

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2000 (number)

2000 (two thousand) is a natural number following 1999 and preceding 2001.

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300 (number)

300 (three hundred) is the natural number following 299 and preceding 301.

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3000 (number)

3000 (three thousand) is the natural number following 2999 and preceding 3001.

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400 (number)

400 (four hundred) is the natural number following 399 and preceding 401.

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5000 (number)

5000 (five thousand) is the natural number following 4999 and preceding 5001.

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6000 (number)

6000 (six thousand) is the natural number following 5999 and preceding 6001.

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700 (number)

700 (seven hundred) is the natural number following 699 and preceding 701.

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78 (number)

78 (seventy-eight) is the natural number following 77 and followed by 79.

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8000 (number)

8000 (eight thousand) is the natural number following 7999 and preceding 8001.

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900 (number)

900 (nine hundred) is the natural number following 899 and preceding 901.

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9000 (number)

9000 (nine thousand) is the natural number following 8999 and preceding 9001.

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Redirects here:

Aaron Ruth pair, Aaron-Ruth pair, Ruth-Aaron number, Ruth-Aaron numbers, Ruth-Aaron pair.

References

[1] https://en.wikipedia.org/wiki/Ruth–Aaron_pair

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