A Multiplication Based Logic Puzzle

Archive for the ‘My Family’ Category

571 Family Time

For the last two weeks we’ve been spending time with our grandchildren in Salt Lake City, Utah; Portland, Oregon; Houston, Texas; and Hartford, Connecticut.

We’ve had a wonderful time with all of them, and it was so painful to say goodbye. We and a few other people took pictures except we didn’t get any pictures of the grandkids that live within 10 miles of our home. What’s with that? I’m as guilty as anyone else who takes people and things for granted.

Here’s a few of the pictures:

I’m hiding in the orange tube.

 

On one of the days in Portland we visited my brother’s daughter and her two children.

The next day we celebrated my sister’s 70th birthday party and reconnected with her children in Portland. We have been busy, and I am tired, but happy.

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Since 171 + 190 + 210 = 571, it is the sum of the 18th, 19th, and 20th triangular numbers. That makes 571 the 20th centered triangular number.

  • 571 is a prime number and a twin prime with 569.
  • Prime factorization: 571 is prime and cannot be factored.
  • The exponent of prime number 571 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 571 has exactly 2 factors.
  • Factors of 571: 1, 571
  • Factor pairs: 571 = 1 x 571
  • 571 has no square factors that allow its square root to be simplified. √571 ≈ 23.8956

How do we know that 571 is a prime number? If 571 were not a prime number, then it would be divisible by at least one prime number less than or equal to √571 ≈ 23.9. Since 571 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, or 23, we know that 571 is a prime number.

 

 

557 Hungarian Genealogy Dictionaries

For many years I’ve used this Hungarian Genealogy Word List from FamilySearch to assist me as I’ve researched my family’s Hungarian genealogy.

This week I found another online Hungarian-English Dictionary. I really like this particular one because for each letter of the alphabet it gives a separate list of diseases beginning with that letter. Knowing the names of diseases in Hungarian is very helpful when looking looking at death records because often the cause of death is listed on the record.

If you are interested in word lists for some other language, you should be able to find it at FamilySearch.org.

Between those two word lists and an old Hungarian-English dictionary a genealogist friend gave me, I can find the meaning of most words I see. Sometimes I still have to ask my son who speaks Hungarian fluently for assistance, and sometimes the handwriting is so bad that even he can’t read it, but for the most part we are able to read and understand the records.

FamilySearch included a chart to help people recognize the names of Hungarian months found in the records. When I looked at our family’s records, I sometimes found month names that were not included on their chart, so I expanded the table to include some of these other names, too. The chart is not very difficult to read: the first column is in English, and the last column is in modern Hungarian and looks quite similar to English.

Hungarian Months
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557 is the sum of two squares: 557 = 14^2 + 19^2

557 is the hypotenuse of the primitive Pythagorean triple 165-532-557.

  • 557 is a prime number.
  • Prime factorization: 557 is prime and cannot be factored.
  • The exponent of prime number 557 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 557 has exactly 2 factors.
  • Factors of 557: 1, 557
  • Factor pairs: 557 = 1 x 557
  • 557 has no square factors that allow its square root to be simplified. √557 ≈ 23.6008

How do we know that 557 is a prime number? If 557 were not a prime number, then it would be divisible by at least one prime number less than or equal to √557 ≈ 23.6. Since 557 cannot be divided evenly by 2, 3, 5, 7, 11, 13, 17, 19, or 23, we know that 557 is a prime number.

550 Godparents

All of these children are more puzzle pieces in the life of Kéri Mihály (Michael Keri).

Kéri Mihály's children

 

I’m sharing this chart even though I have not yet found all of the children’s death dates. The highlighted entries will help me explain a thing or two.

The parents listed for the Sára christened in 1842 are Kéri Mihály and Cselei Rebeka (highlighted in blue). I believe the minister made a mistake writing Cselei instead of Nyilas. Here are my reasons:

  1. I didn’t find a Kéri-Cselei marriage record or any other children for a couple with those names.
  2. Kéri Mihály and Nyilas Rebeka had a child every two to three years. There would be a five year gap if 1842 Sára is not included in the family.
  3. The couple had a previous child they named Sára who died a year before 1942 Sára was born.
  4. 1842 Sára’s godparents were also the godparents of five of her siblings. I looked to see if Michael Keri and Rebeka were the godparents for the Sandor Josik and Rebeka Horvat’s children. They weren’t, but Sandor Josik and Rebeka Horvat also were not the godparents for any other couple from 1841 to 1843.

Another mistake was obviously made recording dates for Ester who has some conflicting dates highlighted in red. I double checked all the information when I added it to the chart. If you were to follow the christening record and the death record, Ester was born on the 7th, christened on the 7th, died on the 6th, and buried on the 8th. Her death record also stated that she was 3 days old when she died. Obviously at least one of the dates is not correct.

Life must have been very difficult for Michael and Rebeka Keri. A little baby usually represents much hope for the future. This couple had to witness the deaths of too many of their little ones. My heart goes out to them.

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550 is the product of 10 and the 10th triangular number and is, therefore, the 10th pentagonal pyramidal number.

550 is the hypotenuse of two Pythagorean triples: 330-440-550 and 154-528-550. What is the greatest common factor of each of those triples?

  • 550 is a composite number.
  • Prime factorization: 550 = 2 x 5 x 5 x 11, which can be written 550 = 2 x (5^2) x 11
  • The exponents in the prime factorization are 1, 2, and 1. Adding one to each and multiplying we get (2 + 1)(1 + 1)(1 + 1) = 3 x 2 x 2 = 12. Therefore 550 has exactly 12 factors.
  • Factors of 550: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
  • Factor pairs: 550 = 1 x 550, 2 x 275, 5 x 110, 10 x 55, 11 x 50, or 22 x 25
  • Taking the factor pair with the largest square number factor, we get √550 = (√25)(√22) = 5√22 ≈ 23.452079

 

543 Arithmetic and Genealogy

Doing genealogy is like working on a puzzle. Sometimes the smallest detail can be so important when determining who a person is. Sometimes doing a little adding or subtracting can be very helpful, too.

543-Subtracting dates

 

Unfortunately in the 1800’s many people were illiterate, and their arithmetic skills were sometimes lacking even more than that of people today. The ages given at marriage are not always accurate perhaps because the people didn’t know their true age or possibly because they added or subtracted a few years to appear older or younger than they really were. Sometimes the ages given at death are a little more accurate.

In the town of Gyoma in Békés County, Hungary there were several men named Kéri Mihály (Michael Keri). One of them was a widower who married a widow named Juhász Erzsébet (Elizabeth Juhasz or Elizabeth Shephard) on 14 September 1853 in the Hungarian Reformed Church in town. Their marriage record stated that he was 48 years old when they married, and the bride was 34.

I wanted to know exactly who this particular Michael Keri was. I looked through the Reformed Church records to find out more about him. I decided to look for his death record hoping that it would list his wife’s name on the record to help identify him.

I already knew that one year and six days after their wedding, the couple’s only child was born, a daughter that they named Lidia. Since her christening record indicated that her father was still living when she was baptized, I looked at death records beginning the very next day. After searching through over 15 years of records, I found two death records of men named Michael Keri. Unfortunately neither record mentioned a spouse or any other pertinent information. Were either of these men the person I sought?

I kept looking until I found his wife’s death record. Her record had much more information on it. It said that she was the wife of the late Keri Mihály so I knew for sure that one of those two men was her husband, but which one?

Since HER death record said how long she had been married and how long she had been widowed, I put that information at the bottom of the following chart next to her name, Juhász Erzsébet. I also did a little arithmetic to try to determine which Kéri Mihály best fit the numbers on her death record and put their numbers above hers. Thus this chart compares information from the death records of these two men named Kéri Mihály who lived in the same town and died about the same time with the information given on Juhász Erzsébet’s death record.

Comparing Death Information from Erzsébet and Two Men Named Mihály

I’ve highlighted in green that one of the men more closely fit the number of years of marriage while the other man more closely fit the number of years she would have been widowed.

I wasn’t any closer to determining which of these two men was her husband than I was before! But then….Look at the house numbers! When I added the house numbers to the chart, it became very clear that her husband was the Michael Keri who died on 30 September 1868.

Many records do not even list house numbers, and when they are listed, they are often ignored. That one little puzzle piece made all the difference in determining who this man was. In future weeks I’ll write how I put other puzzle pieces together until I formed a much clearer picture of this man named Michael Keri.

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543 is made from three consecutive numbers so it is divisible by 3.

543 is the hypotenuse of the Pythagorean triple 57-540-543. Can you find the greatest common factor of those three numbers?

  • 543 is a composite number.
  • Prime factorization: 543 = 3 x 181
  • The exponents in the prime factorization are 1 and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1) = 2 x 2 = 4. Therefore 543 has exactly 4 factors.
  • Factors of 543: 1, 3, 181, 543
  • Factor pairs: 543 = 1 x 543 or 3 x 181
  • 543 has no square factors that allow its square root to be simplified. √543 ≈ 23.30236

536 Family Reunion

Last week I attended a family reunion. My uncle Bob showed me a very clever way that helps him remember the number of children that my dad and each of his siblings had.

How Many Children

In case you are wondering, I was one of Leonard’s fifteen kids: He and his first wife had 4 children. They divorced. He met my mom who already had a child of her own. They married and had 6 children. She died. Then after he married my step-mother who already had two grown children, they had two more.

  • 536 is a composite number.
  • Prime factorization: 536 = 2 x 2 x 2 x 67, which can be written 536 = (2^3) x 67
  • The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 536 has exactly 8 factors.
  • Factors of 536: 1, 2, 4, 8, 67, 134, 268, 536
  • Factor pairs: 536 = 1 x 536, 2 x 268, 4 x 134, or 8 x 67
  • Taking the factor pair with the largest square number factor, we get √536 = (√4)(√134) = 2√134 ≈ 23.15167

522 Gustáv Forgon and Mária Csörnök

I’ll write about the family of Gustáv Forgon and Mária Csörnök after I write a little bit about the number 522.

522 = 73 + 79 + 83 + 89 + 97 + 101 which is all the prime numbers between 72 and 102.

522 is the hypotenuse of the Pythagorean triple 360-378-522.

  • 522 is a composite number.
  • Prime factorization: 522 = 2 x 3 x 3 x 29, which can be written 522 = 2 x (3^2) x 29
  • The exponents in the prime factorization are 1, 2, and 1. Adding one to each and multiplying we get (1 + 1)(2 + 1)(1 + 1) = 2 x 3 x 2 = 12. Therefore 522 has exactly 12 factors.
  • Factors of 516: 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
  • Factor pairs: 522 = 1 x 522, 2 x 261, 3 x 174, 6 x 87, 9 x 58, or 18 x 29
  • Taking the factor pair with the largest square number factor, we get √522 = (√9)(√58) = 3√58 ≈ 22.8473193

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Gustáv Forgon was two years younger than my husband’s second great-grandmother, Erzsébet Forgon. They were only seventh cousins, but most likely they still knew each other quite well as they both had the same surname and grew up as part of one of the most prominent noble families in the little Hungarian village called Mihályfalva.

When Gustáv grew up, he married. His marriage record is the third record on the page below and states that his marriage occurred in 1873 on February 12. The record states that the groom was the noble Gusztáv Forgon, the son of the late noble Miklós Forgon and the noble Sarlotta Bodon. The groom was born and raised in Mihályfalva and was 25 years old. The bride was Mária Csörnök, daughter of Márton Csörnök and Zsuzsánna Miko. She was born and raised in Alsó-Vály and was 17 years old on their wedding day. Click on the record to see it better.15

The couple settled in  Alsó-Vály where they had TWELVE children born before 1896.

1st. Their first son, Ignácz Gusztáv Forgon, was born on 10 February 1875 and baptized two days later. His birth is the 5th entry on the page below. They lived in house #3 in Alsó-Vály.

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2nd. Curiously they named their second son Gusztáv when he was born on 25 August 1876 and baptized two days later. His birth is the 3rd entry on the page below.

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3rd. On 5 March 1879 the couple was blessed to have a daughter. They named her Apollónia Forgon, which was the same name as her godmother. Apollónia was christened two days after she was born as indicated on the 6th entry of the year. There is also a comment in the right margin: +1922 is all that I can read of it. It most likely indicates that she lived until 1922.

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On 10 April 1881 Mária’s father, Márton Csörnök, died. He had been very weak for a while. Her parents had been married for 42 of his 62 3/4 years.

4th & 5th. On 19 May 1881 Gustáv Forgon and Mária Csörnök had twin boys! They named them István and Pál. The boys were christened the same day they were born as recorded on entries 7 and 8 below.

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Sadly István was very weak and died four days later on 1881 May 24. His death record is number 17, very close to the middle of the page.

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6th. Gizella was born on 11 March 1884 and baptized the next day. Her christening is the next to the last entry below.

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7th and 8th. Gustáv Forgon and Mária Csörnök had another set of twins born on 13 April 1886. This time the twins were a boy and a girl, István and Mária. Their births are the 9th and 10th entry. Their deaths also came too early and are listed in the margins.

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This István was also very weak and died when he was only 10 days old on the 27 April 1885. His death record is third from the bottom of the page.

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Maria lived a little more than 9 months more than her twin, István, did. She died 1887 January 25 and was buried the next day. Her cause of death was listed as sínlődés. Online dictionaries were no help translating this word, but my very old and priceless Hungarian-English dictionary that a genealogist friend gave me equates the verb sínlődni and sínleni which means to be sickly, to be broken down in health, to languish. The record of her death is second from the top of the page.

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9th. A daughter, Irma, was born on 23 January 1888 and baptized the next day. She was the third baby christened in 1888.

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On 2 March 1890 Mária’s mother, Zsuzsánna Miko, died. Her death record stated that her mother was 69 years, 11 months, and 13 days old when she died. That was very important information because I could not find Márton Csörnök and Zsuzsánna Miko marriage record to learn the names of Zsuzsánna’s parents, and there were several people named Zsuzsánna Miko in the area. Now I know exactly who she is!

10th. The family’s house number changed from #3 to #4 when László was born 28 June 1890. His baptism was on 3 July as indicated in the next to last entry on the page below. I know for sure that László grew up, married, and now has many descendants.

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11th. The family’s house number is now #5. The family welcomed another little boy that they named István. He was born on 17 March 1894 and was baptized three days later as recorded on the 5th entry below. His death later that year is indicated in the margin as well.

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István died 17 October 1894 and was buried two days later. This István Forgon, age 5 months, died from weakness and was only the 15th death in the area that year.

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The record that was 3rd from the last on the same page (the 1st death record in 1895) is the death record for Gustáv’s widowed mother, Bodon Sarlolta, as it is spelled on this record. She was 72 years old when she died on 15 January 1895, and was buried two days later.

12th. Still living in house #5, the family welcomed Lajos who was born on 30 September 1895 and christened the next day. His was the 21st birth recorded in the book that year.

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I enjoy using old records to piece together a family to understand some of what they went through together. Imagining their joy when they married or had a newborn baby as well as their struggles and trials when a loved one died makes them become more than just a name and a date to me. I hope you enjoyed reading about this noble Hungarian family.

494 My First Microfilm Treasure Hunt

494 is the hypotenuse of one Pythagorean triple: 190-456-494. What is the greatest common factor of those three numbers?

  • 494 is a composite number.
  • Prime factorization: 494 = 2 x 13 x 19
  • The exponents in the prime factorization are 1, 1, and 1. Adding one to each and multiplying we get (1 + 1)(1 + 1)(1 + 1) = 2 x 2 x 2 = 8. Therefore 494 has exactly 8 factors.
  • Factors of 494: 1, 2, 13, 19, 26, 38, 247, 494
  • Factor pairs: 494 = 1 x 494, 2 x 247, 13 x 38, or 19 x 26
  • 494 has no square factors that allow its square root to be simplified. √494 ≈ 22.22611

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Years ago my husband and I wanted to research his family tree so I decided to visit the Family History library in downtown Salt Lake City on 8 April 2010. At that time we knew the names of his four grandparents, his eight great-grandparents, and one great-great-grandfather. We knew all of these people were born in Hungary. The information we had was that two of his grandparents were born in a little town called Gyoma in what is now eastern Hungary. We had no idea where his other two grandparents were born. This day was the first time I ever looked at any Hungarian genealogical records. I knew maybe ten words in Hungarian, and I had never even seen similar records in English.

I found a microfilm for Gyoma with Kereszteltek (christening) records from 1883-1895. A volunteer showed me how to put the microfilm on a the reader, and I started looking. I made notes of which records interested me. It was so exciting to find records that had names of people I had heard stories about. It was my intention to photocopy as many family records as I could, scan them into my home computer, and email them to my son, David, who speaks Hungarian fluently but lived in Qatar at the time. When I went to make copies, I was pleasantly surprised to learn that I could actually copy the records directly onto a flash drive!

I emailed my son that the five hours I spent at the family history library were well spent. I didn’t find any of the christening records I was expecting to find but found about thirteen records of his ancestor’s siblings. I attached the records to the email and waited for his reply.

He emailed me back, “I only had time to look at the first four. I’ll check the rest later. I’ve written some notes below, but I should let you know that you basically just found four people who aren’t related to us.” He then wrote in English what each of the records said.

Later he emailed me, “To continue the bad news, Now that I look at all of them, I can see that they (the great-grandparents) are all listed as godparents. This should explain why you didn’t find much of what you were actually looking for. Now you know, and should be able to look for names in the right column.”

So there you have it. Since I knew so little Hungarian and so little about how christening records are organized I thought the godparents were the parents.

I had to wait a whole week before I could go back to the library, but this first visit was not a total bust. We still learned a few things about my husband’s great-grandfather, Dániel Finta, that we didn’t know before. We learned that he worked in a factory making shoes. Sometimes his wife was the godmother with him, and sometimes his mother was. Because I found these records we now knew his mother’s name, Sára Bíró, as well.

I was grateful for what we had learned and anxious to return again.

How successful were you the first time you looked into your family history?

Photo credits informa.ie and adem.co.uk

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