Smallest numbers beginning sequences of 14 and 15 consecutive happy numbers
نویسندگان
چکیده
منابع مشابه
Smallest examples of strings of consecutive happy numbers
A happy number N is defined by the condition S(N ) = 1 for some number n of iterations of the function S, where S(N ) is the sum of the squares of the digits of N . Up to 10, the longest known string of consecutive happy numbers was length five. We find the smallest string of consecutive happy numbers of length 6, 7, 8, . . . , 13. For instance, the smallest string of six consecutive happy numb...
متن کاملOn Consecutive Happy Numbers
Let e > 1 and b > 2 be integers. For a positive integer n = ∑k j=0 aj × b j with 0 6 aj < b, define
متن کاملSequences of Generalized Happy Numbers with Small Bases
For bases b ≤ 5 and exponents e ≥ 2, there exist arbitrarily long finite sequences of d-consecutive e-power b-happy numbers for a specific d = d(e, b), which is shown to be minimal possible.
متن کاملThe smallest Perron numbers
A Perron number is a real algebraic integer α of degree d ≥ 2, whose conjugates are αi, such that α > max2≤i≤d |αi|. In this paper we compute the smallest Perron numbers of degree d ≤ 24 and verify that they all satisfy the Lind-Boyd conjecture. Moreover, the smallest Perron numbers of degree 17 and 23 give the smallest house for these degrees. The computations use a family of explicit auxiliar...
متن کامل$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers
In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2013
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2013.6.461