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 A^2 = B^3 + C^3
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 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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Monthly Archives: January 2017
Set {a,b,c,d,e} such that the product of any two of them increased by 1 is a square
The set has the property that the product of any two of them plus one is the square of a rational number. where the next solutions are: Find the next set. … Continue reading
Set {a,b,c,d} such that the product of any two of them increased by 1 is a square — Part 3
…………………. …………………. …………………. …………………… …………………… ……….. Or …………………… …………………… ……….. ………………………………………………………….. … Continue reading
Set {a,b,c,d} such that the product of any two of them increased by 1 is a square — Part 2
………………… ………………… ………………… We set ……………………… ……………………… ……………………. … Continue reading
Set {a,b,c,d} such that the product of any two of them increased by 1 is a square — Part 1
……….. ……….. ……….. In part 1, we set ……………………………… ……………………… …………. … Continue reading
A prime which is the reverse concatenation of the first n triangular numbers
The sequence of triangular numbers 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, … 631 is a prime number. 10631 … Continue reading
Prime index of a palindromic hexagonal number
A hexagonal number is a polygonal number of the form is a 19digital prime index of the 39digital palindromic hexagonal number: … Continue reading
Prime that is sum of consecutive triangular numbers with prime indices — Part 2
Prime that is sum of consecutive triangular numbers with prime indices — Part 1 Paul asks: If we consider the Index numbers 29 and 43, both prime and sum the consecutive triangular numbers with those prime indices the … Continue reading
13331 expressible as a sum of the squares of three consecutive odd triangular numbers
The odd triangular numbers are given by : 1, 3, 15, 21, 45, 55, 91, 105, 153, 171, 231, 253, 325, 351, 435, 465, 561, 595, 703, 741, 861, 903, 1035, 1081, 1225, 1275, 1431, 1485, 1653, … Continue reading
Num3er 1258723
A Pentagonal number is a polygonal number of the form is a prime number. is also prime index of a 13digital palindromic pentagonal number … Continue reading
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Tagged Beautiful Number, Pentagonal number, Polygonal number
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Prime that is sum of consecutive triangular numbers with prime indices — Part 1
then, is a prime number. is the smallest prime that is sum of the first consecutive triangular numbers with prime indices. … Continue reading