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 A^2 = B^3 + C^3
 Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square
 smallest integer whose first n multiples all contain a 3
 Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square
 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: Patterns
Patterns with some numbers that have 2 representations as a sum of 2 squares
a, b, c a, c, b, a a = 1 1157 has 2 representations as a sum of 2 squares: the digits on one side are 1, 3, … Continue reading
Patterns with 1/7
(period 6) Move 7 : (period 6) Move 4 : (period 6) Move 1 : (period 6) Move 8 : (period 6) Move 5 : (period 6) … Continue reading
PatternsReversible pairs (10a + b)^2 + (10x + y)^2 = (10b + a)^2 + (10y + x)^2
By solving the equation I get the following results: ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ……………………………………. ………………………………… ………………………………… ………………………………… ………………………………… ………………………………… ………………………………… ………………………………… ………………………………… ………………………………… ………………………………… ………………………………… … Continue reading
Four Consecutive Num3ers: Interesting property
If A, B, C, D are four consecutive natural numbers , then is a factor of the sum Letâ€™s take, for example, 16, 17, 18, 19 … Continue reading
Patterns: 4 arbitrary natural numbers
Take four arbitrary natural numbers, , , and . Prove that if use them to find the four numbers , , and , which are equal, respectively, to … Continue reading
Patterns  Integer N, N^2 = x^3 + y^3
To Be Continued
Patterns  Prime Num3ers P of the form P = x^3 – y^3
To find prime numbers having the form x^3 – y^3. Is their DigitSums always 1 or 7? See: Cuban prime http://en.wikipedia.org/wiki/Cuban_prime Digital Root http://mathworld.wolfram.com/DigitalRoot.html Hint: