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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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Monthly Archives: September 2014
My collection of #Mensa puzzles
(1) If James purchased: sweater, encyclopedia, mug, aftershave, and a jacket. Who purchased: notebook, anorak, socks, underwear, and sandles? (2) What number should replace the question mark? (3) The … Continue reading
Puzzle  Palindromes with exactly 6 distinct prime factors
The first few palindromes with exactly 6 distinct prime factors: 222222, 282282, 474474, 555555, 606606, 646646, 969969, 2040402, 2065602, 2206022, 2417142, 2646462, 2673762, 2875782, 3262623, 3309033, 4179714, 4192914, 4356534, 4585854, 4912194, 5021205, 5169615, 5174715, 5578755, … I call … Continue reading
Puzzle  Palindromes with exactly 5 distinct prime factors
The first few palindromes with exactly 5 distinct prime factors: 6006, 8778, 20202, 28182, 41514, 43134, 50505, 68586, 87978, 111111, 141141, 168861, 202202, 204402, 209902, 246642, 249942, 262262, 266662, 303303, 323323, 393393, 399993, 438834, 454454, 505505, 507705, 515515, 516615, … Continue reading
Equation (a^3 – b^3)(c^3 – d^3) = (x^3 + y^3)^3
Find more solutions. David found :
Puzzle Palindromes with exactly 4 distinct prime factors
The first few palindromes with exactly 4 distinct prime factors: 858, 2002, 2442, 3003, 4774, 5005, 5115, 6666, 10101, 15351, 17871, 22422, 22722, 24242, 26562, 26962, 28482, 35853, 36363, 41314, 43734, 43834, 45654, 47874, 49494, 49794, 49894, 51015, 51315, … Continue reading
Num3er 32123 (sphenic palindrome)
32123 is a 5digit sphenic palindrome A sphenic number is a positive integer that is the product of three distinct prime numbers. Here’s the list of all sphenic palindromes below 4000 : 66, 222, 282, … Continue reading
Num3er 105700299921216001
105700299921216001 is a prime number. 105700299921216001 has the representation : Confirm that this number is the smallest value that is palindromic in over 1000 bases. … Continue reading
Num3er 112
112 has 10 divisors: 1 2 4 7 8 14 16 28 56 112 Sum of divisors: 248 112 divides Palindromic in : 112 … Continue reading
Powers consisting of n distinct digits, averaging n
Could we have more than 6 distinct digits?
Triangular numbers, product of three triangular in 2 or more ways
My older posts : 3/4/5digit triangular numbers, product of three triangular 6digit triangular numbers, product of three triangular 7digit triangular numbers, product of three triangular 8digit triangular numbers, product of three triangular 9digit triangular numbers, product of three triangular … Continue reading