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...

tetrahedral number, forms a Ruth–Aaron pair with 1331 under second definition 1331 = 113, centered heptagonal number, forms a Ruth–Aaron pair with 1330 under second...

heptagonal number 2107 – member of a Ruth–Aaron pair with 2108 (first definition) 2108 – member of a Ruth–Aaron pair with 2107 (first definition) 2109 –...

+ 67 + 71 + 73 + 79 + 83), nontotient, balanced number, member of Ruth–Aaron pair (either definition); area code for Orange County, California. Flight...

triangular number 6556 – member of a Ruth-Aaron pair with 6557 (first definition) 6557 – member of a Ruth-Aaron pair with 6556 (first definition) 6561 =...

a Ruth–Aaron pair with 949 under second definition, number of combinatory separations of normal multisets of weight 6. 949 = 13 × 73, forms a Ruth–Aaron...

There are 369 free octominoes (polyominoes of order 8). 369 is a Ruth-Aaron Pair with 370. The sums of their prime factors are equivalent. Kraitchik...

two prime numbers 5405 – member of a Ruth–Aaron pair with 5406 (either definition) 5406 – member of a Ruth–Aaron pair with 5405 (either definition) 5413...

Ruth–Aaron pair with 493 under first definition 493 = 17 × 29, sum of seven consecutive primes (59 + 61 + 67 + 71 + 73 + 79 + 83), member of a Ruth–Aaron...

France Ruth, a hamlet in Cologny Ruth, Alabama Ruth, Arkansas Ruth, California Ruth, Louisiana Ruth, Kentucky Ruth, Michigan Ruth, Mississippi Ruth, Nevada...

8849 – super-prime 8855 – member of a Ruth-Aaron pair (first definition) with 8856 8856 – member of a Ruth-Aaron pair (first definition) with 8855 8888 -...

{\displaystyle 6^{2}+5^{2}+4^{2}+1^{2}} (see image). 77 and 78 form a Ruth–Aaron pair. "Sloane's A007304 : Sphenic numbers". The On-Line Encyclopedia of...

perfect number abundant number deficient number triangular number Ruth-Aaron pair Mersenne prime Napier's constant Euler's identity Fermat's Last Theorem...

decreasing 3229 – super-prime 3240 – triangular number 3248 – member of a Ruth-Aaron pair with 3249 under second definition, largest number whose factorial is...

6271 = 12542 12670 = weird number 12721 = palindromic prime 12726 = Ruth–Aaron pair 12758 = most significant Number that cannot be expressed as the sum...

super-prime 9743 – safe prime 9791 – Sophie Germain prime 9800 – member of a Ruth-Aaron pair (first definition) with 9801 9801 = 992, the largest 4 digit perfect...

add up to 15, and so do those of 104; hence, the two numbers form a Ruth-Aaron pair under the first definition. 105 is also a number n for which n − 2...

consecutive primes (83 + 89 + 97 + 101), nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted, Base 10 Armstrong number...

153 add up to 20, and so do the ones of 154, hence the two form a Ruth-Aaron pair. Since 153 = 1 3 + 5 3 + 3 3 {\displaystyle 153=1^{3}+5^{3}+3^{3}}...

retirement, Aaron held most of the game's key career power-hitting records. He broke the long-standing MLB record for career home runs held by Babe Ruth and remained...

154 add up to 20, and so do the ones of 153, hence the two form a Ruth-Aaron pair. 154! + 1 is a factorial prime. "Sloane's A001106 : 9-gonal (or enneagonal...

two different ways, 125 = 10² + 5² = 11² + 2². 125 and 126 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted...

Parents Professor of Mathematics in the same year. Carmichael numbers Ruth–Aaron pair Carl Pomerance at the Mathematics Genealogy Project Crandall, R.; Pomerance...

dividing n, counted with multiplicity. It is an additive function. A Ruth-Aaron pair is two consecutive numbers (x, x+1) with a0(x) = a0(x+1). The first...

noticed this property of these numbers and named pairs of numbers like these MMS pairs. Ruth–Aaron pair Keith, Mike (1998). "Maris-McGwire-Sosa Numbers"...

Bible, Aaron (/ˈɛərən/ AIR-ən or /ˈærən/ ARR-ən) was an Israelite prophet, a high priest, and the elder brother of Moses. Information about Aaron comes...

According to a family statement, she was surrounded by Ruth and Anita as well as brothers Aaron and Fritz. On May 4, 2006, Bonnie appeared on Entertainment...

accusers—Melissa Schuman, Ashley Repp, and Shannon Ruth—as well as a member of the Carter family, Aaron's former fiancée Melanie Martin, and Kaya Jones (who...

Ruth Porat (born 1957) is a British-American business executive who is the president and chief investment officer of Alphabet and its subsidiary Google...

players reach the milestone while on their roster: Ruth, Mickey Mantle, Roger Maris, Alex Rodriguez, and Aaron Judge. Ten players are also members of the 500...