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* Given 27 same-size auction blocks whose nominal determine near from 1 to 27, a 3×3×3 trick cube toilet be constructed such that every(prenominal) row, column, and corridor, and every gash passing through the center, comprises 3 cubes whose sum of values is 42. * 42 is a pronic spot and an abundant heel; its antique factorisation 2 · 3 · 7 makes it the second sphenic attempt along and as well as the second of the solve { 2 · 3 · r }. As with all sphenic poem of this form, the aliquot sum is abundant by 12. 42 is too the second sphenic effect to be bracketed by twin primes; 30 is also a pronic image and also rests between both primes. 42 has a 14 genus Phallus aliquot taking over 42, 54, 66, 78, 90, 144, 259, 45, 33, 15, 9, 4, 3, 1, 0 and is itself part of the aliquot sequence commencing with the off good deal sphenic number 30. Further, 42 is the 10th member of the 3-aliquot tree. * 42 is the product of the first three terms of Syl vesters sequence; deal the first quin such numbers it is also a primary pseudoperfect number. * It is a Catalan number. Consequently; 42 is the number of noncrossing partitions of a set of five elements, the number of triangulations of a heptagon, the number of rooted orderinged binary program trees with six leaves, the number of ways in which five pairs of nested parentheses can be arranged, etc. * It is the reciprocal of the ordinal Bernoulli number.

* It is conjectured to be the marking factor in the leading order term of the sixth moment of the Riemann zeta function. In particular, Conrey & angstrom; Ghosh have con jectured where the countless product is! over all prime numbers, p.[1][2] * It is the third pentadecagonal number. It is a meandric number and an open meandric number. * 42 is a Størmer number. * 42 is a perfect score on the ground forces Math Olympiad (USAMO)[3] and international Mathematical Olympiad (IMO).[4] * In source 10, this number is a Harshad number and a self number, while it is a repdigit in base 4 (as 222). [edit] Science * The...If you want to get a overflowing essay, order it on our website: BestEssayCheap.com

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