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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: Sums of 4th Powers
Equation : a^4 – b^5 = c^5 – d^4
Let be positive integers, with , and Prove that if , then twice the sum of the 5th powers is a sum of two squares. … Continue reading
a^4 + 4*b^4 = c^4 + 4*d^4
are distinct integers, and
A^4 + B^4 = C^4 + D^4 + E^4
……………………………………………………… ……………………………………………………… ……………………………………………………… Find other solutions for A < 100718
Equation: a^4 + b^4 ± k = c^2
where k is a small odd integer. k = +3 k = 7 k = +7 Find other solutions where k is a small odd integer. … Continue reading
Equation: a^4 + b^4 = c^2 + 1
where a, b, c are integers Paul found:
a^4 – b^4 = c^4 – d^4 = e^4 – f^4
for example, (1) …… ……. …….. (2) ….. ….. …… (3) ….. ….. ….. In each of the 3 pairs … Continue reading
Part 2 – N^4 = 2(A^4) + B^4 + 2(C^4)
Previous blog: A^4 + B^4 + C^4 + D^4 + E^4 = N^4 for … Continue reading
A^4 + B^4 + C^4 + D^4 + E^4 = N^4
Paul found: … Continue reading
A^4 + B^4 + C^4 + D^4 = N^2
Can you find smaller values?