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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: January 2014
n consecutive integers / each integer has n distinct prime factors
n consecutive integers such that each integer has n distinct prime factors n = 2 14 = 2 * 7 15 = 3 * 5 n = 3 644 … Continue reading
Prime num3ers whose digit sum equals the number of digits
For example, Consider the prime numbers, 11, 1021, and 10103 : 11 is a 2digit number … Continue reading
Sequence of (2^n – 1) consecutive integers all having n factors
The Goal: To find a sequence of (2^n – 1) consecutive integers such that each of them has n prime factors If n = 2 The smallest sequence of (2^2 – 1 = 3) consecutive integers such that … Continue reading
Num3er 1493
1493 is the number of my followers on Twitter. 1493 is a prime number. 1493 is the sum of three consecutive primes: 1493 = 491 + 499 + 503 1493 = 2*15^2 + 2*15*7 + 17*7^2 1493 … Continue reading
Fibonacci number  ceiling(√e^n) for n=0,1,…,8
The first few Fibonacci numbers are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, … Continue reading
Num3er 1490
1490 is the number of my followers on Twitter 1490 has 8 divisors: 1 2 5 10 149 298 745 1490 1490 = 2 * 5 * 149 σ1(1490) … Continue reading
Num3er 1485
1485 is the number of my followers on Twitter. 1485 has 16 divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 … Continue reading
Fibonacci Num3ers and num3er of primes
π(N) means the number of primes between 1 and N Fibonacci Numbers N π(N) ————————————————————————— 0 0 … Continue reading
Pattern  Fibonacci Num3ers sum of square of digits is not 89
The first few Fibonacci numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, … Continue reading
Num3er 1488
1488 is the number of my followers on Twitter. 1488 has 20 divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 Sum of divisors: 3968 1488 … Continue reading