Why I Haven’t Blogged for a While:
I haven’t felt like blogging so I haven’t. Nevertheless, there is no better day than today, Memorial Day, to let you know why: I didn’t have the strength to do much of anything when for the first time in my life, I came down with Covid at the beginning of April. A few days later my sweet husband also took a test and tested positive. With his pre-existing conditions, the virus was too much for his body to handle. It’s been six weeks since that awful morning when he asked to be taken to the emergency room. He got dressed, walked down the hall, down the stairs, grabbed his wallet, and sat on the couch to put on his shoes. Then he said, “I can’t breathe. Call 911.” Immediately he was gone. My son did CPR. The paramedics did CPR, but there was nothing anyone could do to bring him back. He had retired from work exactly one week before he passed away. We had so many plans to use his newly-found free time to spend more time with our children and their families.
This is a picture of me weeping over my husband’s casket on what was supposed to be our 46th wedding anniversary the last week of April.
My husband made the world a much better place for me, for our family, for our community, and for our country. He is dearly missed by many and most especially by me.
This weekend I laid a bouquet of red and white flowers on my husband’s grave and decided to make a red rose Memorial Day puzzle for the blog as well. It is a mystery-level puzzle. Certainly, it is a mystery why someone would have to pass much sooner than expected.
Write the number from 1 to 12 in both the first column and the top row so that those numbers are the factors of the given clues. There is only one solution.
Factors of 1765:
- 1765 is a composite number.
- Prime factorization: 1765 = 5 × 353.
- 1765 has no exponents greater than 1 in its prime factorization, so √1765 cannot be simplified.
- The exponents in the prime factorization are 1 and 1. Adding one to each exponent and multiplying we get (1 + 1)(1 + 1) = 2 × 2 = 4. Therefore 1765 has exactly 4 factors.
- The factors of 1765 are outlined with their factor pair partners in the graphic below.
More About the Number 1765:
1765 is the sum of two squares in two different ways:
42² + 1² = 1765, and
33² + 26² = 1765.
1765 is the hypotenuse of FOUR Pythagorean triples:
84 1763 1765, calculated from 2(42)(1), 42² – 1², 42² + 1²,
413 1716 1765, calculated from 33² – 26², 2(33)(26), 33² + 26²,
1059-1412-1765, which is (3-4-5) times 353, and
1125-1360-1765, which is 5 times (225-272-353).
1765 is a digitally powerful number:
1⁴ + 7³ + 6⁴ + 5³ = 1765.
1765 is a palindrome in a couple of different bases:
It’s A5A base 13 because 10(13²) + 5(13) + 10(1) = 1765, and
it’s 1D1 base 36 because 1(36²) + 13(36) + 1(1) = 1765.