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 A^2 = B^3 + C^3
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 smallest integer whose first n multiples all contain a 3
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 Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
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Tag Archives: 11
Cubes that end with 1,11,111,1111,11111,…
Pattern: 7368288471 368288471 68288471 8288471 288471 88471 8471 471 71 1 To obtain single digit 1 at the end of a cube, I write 10*y + … Continue reading
Repunit  11,111,1111,11111,…. in other bases
repunit consisting of n 1’s in base n for example, the repunit consisting of two 1s’ in base 2, and repunit of three 1s’ in base 3, and so on. base n base10 11 base2 = … Continue reading
Patterns  11, 1111, 111111, …
Note the pattern: 11 = (1 * 9) + 2 1111 = (123 * 9) + 4 111111 = (12345 * 9) + 6 11111111 = … Continue reading
Multiples of 11 containing a 11 in their decimal representation
2digit multiple of 11 : 11 is the only number 3digit multiple of 11 : 110 is the only number 4digit multiple of 11 : (1) ab11 (2) a11b (3) 11ab … Continue reading
Num3ers 11, 111, 1111, …
1 11 a prime number 111 … Continue reading
Patterns: Num3ers of the form 1001, 110011, …
My focus: To examine numbers of the form, 1001, 110011, 11100111, 1111001111, … and to replace the middle two digits (00) with the prime numbers 11 and 13 For example: (1) 1001 = 7 * … Continue reading
Curious properties of 11, 111, 1111, …
Older post: Series of Num3ers 1111… 11 is a prime number. 111 = 3 * 37 1111 = 11 * 101 11111 = 41 * 271 ….. 1111111111111111111 (19 digits) is a prime number. … Continue reading
Num3er 11
Let’s arrange the digits, 1, 2, 3, 4, 5, 6, to form a triangle, 2 3 5 6 1 4 2 + 3 + … Continue reading