University of Portland provost emeritus Tom Greene officially retired on June 30, and as a token of his esteem, Aziz Inan, Shiley School of Engineering, put together the following farewell birthday trivia brain teaser to thank him for his leadership and friendship:
- Multiply the left and right halves of Tom’s birth year Y1Y2Y3Y4 to obtain the number X. Then, look up the Xth prime number. Next, subtract the Xth prime number from the reverse of Tom’s birth year, namely Y4Y3Y2Y1 and read the result backwards. Surprise!
- Further, if Tom’s full birthday M1M2/D1D2/ Y1Y2Y3Y4 is split into M1M2, D1D2, Y1Y2, and Y3Y4, interestingly, half of the sum of M1M2 and D1D2 yields Y1Y2, and twice the difference of M1M2 and D1D2 results in Y3Y4.
- Tom’s birthday this year (2020) is numerically special: double the sum of the squares of the month and day numbers of his birthday. What comes out?
- The reverse of the difference of the squares of the digits of Tom’s new age this year equals the sum of the letter numbers of his last name, Greene.
- Tom’s 75th birthday will be special since the reverse of 75, namely 57, equals the sum of the letter numbers of his middle name, George.
- Tom’s 76th birthday will also be special since 76 equals the sum of the letter numbers of Thomas. Additionally, the rightmost two digits of that year equals the difference of the month and day numbers of his birthday.
- Tom’s 83rd birthday will be special too since 83 equals the sum of the reverses of the month and day numbers of his birthday, namely (M2M1 + D2D1).
- Tom’s 89th birthday will be a five-digit palindrome date. Also, 89 is the 24th prime number (see item # 6).
- His 90th birthday will be special too since Y3Y4 = M1M2 + D1D2.
- Tom’s 100th birthday expressed as M1M2/D1D2/ Y1Y2Y3Y4 has a special property: Y1Y2Y3Y4 = 2(M1+M2+D1+D2).
- Tom’s 153rd birthday in the year Y1Y2Y3Y4 will also be special: Y1Y2Y3Y4 = M1M2D1D2 + D2D1M2M1. Moreover, count the number of days left in the year after Tom’s birthday.
- Tom’s 189th birthday will be a seven-digit palindrome date.
- Lastly, Tom’s 508th birthday contains every whole number from 0 to 7, each appearing once.
For more information or to commission your own brain teaser, contact Inan at firstname.lastname@example.org.