Sunday, May 31, 2015

Math Poetry - Performed by Harry Baker

5/31/2015

Harry Baker performs three of his best, award winning, poems on TED.  The first one is "A Love Poem for Lonely Prime Numbers".

You just have to see this.

http://www.ted.com/talks/harry_baker_ a_love_poem_for_lonely_prime_numbers?language=en 


David

Saturday, May 30, 2015

Triangular Numbers, Tetrahedral Numbers, and the NERDY Numbers that Produce Them

5/30/2015




Triangular Numbers:
The decimal expansion of the inverse of 999,700,029,999 produces a sequence showing the triangular numbers.
1/99970002999 =
0.
0000 0000 0001 0003 0006 0010 0015 0021 0028 0036 0045 0055 0066 0078 0091 0105 0120 0136 0153 0171 0190 0210 0231 0253 0276 0300 0325 0351 0378 0406 0435 0465 0496 0528 0561 0595 0630 0666 0703 0741 0780 0820 0861 0903 0946 0990 1035 1081 1128 1176 1225 1275 1326 1378 1431 1485 1540 1596 1653 1711 1770 1830 1891 1953 2016 2080 2145 2211 2278 2346 2415 2485 2556 2628 2701 …
Tetrahedral Numbers
The decimal expansion of the inverse of 9,996,000,599,960,001 produces a sequence showing the tetrahedral numbers.
1/9996000599960001 =
0.
0000 0000 0001 0004 0010 0020 0035 0056 0084 0120 0165 0220 0286 0364 0455 0560 0680 0816 0969 1140 1330 1540 1771 2024 2300 2600 2925 3276 3654 4060 4495 4960 5456 5984 6545 7140 7770 8436 9139 …




David

Friday, May 29, 2015

Brain'o Quiz # 9

5/29/2015



Mr. B’s “BRAIN-O” Quiz
Guaranteed to unclog clogged up brains!
NAME:__________________ DATE:____________ PERIOD:_______
Directions: Carefully read and answer the following questions.  Print you answer clearly in the box next to each question.  Questions are worth one zillion nano bonus points each.  However, if you get all five correct, we will double the points for a total of ten zillion nano bonus points.


 1.


In New York, a woman married ten different men from that city.  None of the men died, and she never divorced, yet she never broke any laws.  How was this possible?





2.


A taxi driver was called to take a group of passengers to the airport.  The airport is normally an hour away, but with traffic being extra slow, it took a full hour and half an hour.  On the return trip the traffic was still heavy, but it only took him 90 minutes.  Why?




3.


Which is grammatically correct?  Should you say “The yolk of an egg is white.” or “The yolks of eggs are white.”?





4.


An electrician and a plumber attended the “International Home Show.”  One of them was the father of the other’s son.  How could this be possible?





5.


Using any combination of parentheses and the operation symbols (+, -, x, and ÷), how can you arrange the numbers 6, 6, 6, 6, and 6 into a mathematical expression equal to 8?



The problem is not that there are problems.
The problem is expecting otherwise
and thinking that having problems is a problem.

- Theodore Rubin
WARNING: For Educational Purposes Only.
Please do not attempt to answer any of these questions
unless you are willing to learn something.
Answers will be posted on Monday. 


David

Tuesday, May 26, 2015

"This Page Intentionally Left Blank"

5/26/2015

This page intentionally left blank.



I'm sorry, but Spock would say "That's not logical."



David

Monday, May 25, 2015

Cyclops, Binocular, and Trinocular Primes

OEIS has a listing for Cyclops Primes - prime numbers that have one zero right in the middle, but nowhere else in the prime.  The one zero represents a Cyclops' one eye.  And they also note that the prime must have an odd number of digits, otherwise the one zero can't be "right in the middle"

But I noticed that they left out a listing for those of us with two eyes.  So I have been searching for Binocular Primes, to represent those of us with two eyes.





Binocular Primes (or maybe I should name it Biclops Primes): Prime numbers that have two zeros (representing two eyes) in the center of the prime.
1,009   2,003   3,001   4,001   4,003   4,007   5,003   5,009   6,007   7,001   8,009   9,001   9,007   110,017   110,023   110,039   110,051   110,059   110,063   110,069   110,083   120,011   120,017   120,041   120,047   120,049   120,067   120,077   120,079   120,091   120,097   130,021   130,027   130,043   130,051   130,057   130,069   130,073   130,079   130,087   130,099   140,053   140,057   140,069   140,071   150,011   150,041   150,053   150,061   150,067   150,077   150,083   150,089   150,091   150,097   160,019   160,031   160,033   160,049   160,073   160,079   160,081   160,087   160,091   160,093   170,021   170,029   170,047   170,057   170,063   170,081   170,099   180,023   180,043   180,053   180,071   180,073   180,077   180,097   190,027   190,031   190,051   190,063   190,093   190,097   210,011   210,019   210,031   210,037   210,053   210,071   210,097   220,013   220,019   220,021   220,057   220,063   230,017   230,047   230,059   230,063   230,077   230,081   230,089   240,011   240,017   240,041   240,043   240,047   240,049   240,059   240,073   240,089   250,013   250,027   250,031   250,037   250,043   250,049   250,051   250,057   250,073   250,091   260,011   260,017   260,023   260,047   260,081   260,089   270,029   270,031   270,037   270,059   270,071   270,073   270,097   280,013   280,031   280,037   280,061   280,069   280,097   280,099   290,011   290,021   290,023   290,027   290,033   290,039   290,041   290,047   290,057   290,083   310,019   310,021   310,027   310,043   310,049   310,081   310,087   310,091   320,011   320,027   320,039   320,041   320,053   320,057   320,063   320,081   320,083   330,017   330,019   330,037   330,041   330,047   330,053   330,061   330,067   330,097   340,027   340,031   340,037   340,049   340,057   340,061   340,063   340,073   340,079   350,029   350,033   350,039   350,087   350,089   350,093   360,023   360,037   360,049   360,053   360,071   360,089   360,091   370,021   370,033   370,057   370,061   370,067   370,081   370,091   380,041   380,047   380,059   380,071   390,043   390,067   390,077   390,083   390,097   410,029   410,063   410,087   410,093   420,029   420,037   420,041   420,047   420,073   420,097   430,013   430,019   430,057   430,061   430,081   430,091   430,093   440,023   440,039   440,047   440,087   440,093   450,011   450,019   450,029   450,067   450,071   450,077   450,083   460,013   460,039   460,051   460,063   460,073   460,079   460,081   460,087   460,091   460,099   470,021   470,039   470,059   470,077   470,081   470,083   470,087   470,089   480,013   480,017   480,019   480,023   480,043   480,047   480,049   480,059   480,061   480,071   480,091   490,019   490,031   490,033   490,057   490,097   510,031   510,047   510,049   510,061   510,067   510,073   510,077   510,079   510,089   520,019   520,021   520,031   520,043   520,063   520,067   520,073   530,017   530,021   530,027   530,041   530,051   530,063   530,087   530,093   540,041   540,061   540,079   550,027   550,049   550,061   550,063   550,073   560,017   560,023   560,029   560,039   560,047   560,081   560,083   560,089   560,093   570,013   570,029   570,041   570,043   570,047   570,049   570,071   570,077   570,079   570,083   570,091   580,031   580,033   580,079   580,081   580,093   590,021   590,027   590,033   590,041   590,071   590,077   590,099   610,031   610,063   610,081   620,029   620,033   620,051   620,099   630,017   630,023   630,029   630,043   630,067   640,019   640,027   640,039   640,043   640,049   640,061   640,069   640,099   650,011   650,017   650,059   650,071   650,081   650,099   660,013   660,029   660,047   660,053   660,061   660,067   660,071   660,073   660,097   670,031   670,037   670,039   670,049   670,051   670,097   670,099   680,027   680,039   680,059   680,077   680,081   680,083   690,037   690,059   690,073   690,089   710,023   710,027   710,051   710,053   710,081   710,089   720,019   720,023   720,053   720,059   720,089   720,091   730,021   730,033   730,049   730,069   730,091   740,011   740,021   740,023   740,041   740,053   740,059   740,087   740,099   750,019   750,037   750,059   750,077   750,083   750,097   760,043   760,063   760,079   760,093   770,027   770,039   770,041   770,047   770,053   770,057   770,059   770,069   780,029   780,037   780,041   780,047   780,049   780,061   790,021   790,033   790,043   790,051   790,057   790,063   790,087   790,093   790,099   810,013   810,023   810,049   810,053   810,059   810,071   810,079   810,091   820,037   820,051   820,067   820,073   820,093   830,017   830,041   830,051   830,099   840,023   840,053   840,061   840,067   840,083   850,021   850,027   850,033   850,043   850,049   850,061   850,063   850,081   850,093   860,011   860,029   860,051   860,059   860,063   860,071   860,077   860,087   860,089   870,013   870,031   870,047   870,049   870,059   870,083   870,097   880,021   880,027   880,031   880,043   880,057   880,067   880,069   880,091   880,097   890,011   890,027   890,053   890,063   890,083   910,031   910,051   910,069   910,093   910,097   910,099   920,011   920,021   920,039   920,053   930,011   930,043   930,071   930,073   930,077   930,079   930,089   940,019   940,031   940,067   940,073   940,087   940,097   950,023   950,029   950,039   950,041   950,071   950,083   950,099   960,017   960,019   960,031   960,049   960,053   960,059   960,077   970,027   970,031   970,043   970,051   970,061   970,063   970,069   970,087   970,091   980,027   980,047   980,069   980,071   980,081   990,013   990,023   990,037   990,043   990,053

Then I started to think (I do that from time to time) “What if giant with two eyes married a giant with one eye (a cyclops)?”  If they had offspring would the gene for one eye be the dominant gene, or the gene for two eyes?  Or could the offspring end up with both and end up with a total of three eyes?  So I started looking for Triclops Primes.

Triclops Primes: Prime numbers that have three zeros in the center of the prime number.  The three zeros represent three eyes.
10,007   10,009   40,009   70,001   70,003   70,009   90,001   90,007   1,100,023   1,100,027   1,100,039   1,100,041   1,100,051   1,100,063   1,100,089   1,100,093   1,200,061   1,200,077   1,200,083   1,300,021   1,300,027   1,300,031   1,300,051   1,300,073   1,300,097   1,400,017   1,400,023   1,400,029   1,400,039   1,400,051   1,400,081   1,400,093   1,500,019   1,500,041   1,500,043   1,500,047   1,500,061   1,500,071   1,500,073   1,600,033   1,600,037   1,600,051   1,600,061   1,600,069   1,600,097   1,600,099   1,700,021   1,700,047   1,700,053   1,700,059   1,700,077   1,700,087   1,700,099   1,800,017   1,800,037   1,800,047   1,800,067   1,800,083   1,800,091   1,900,037   1,900,043   1,900,049   1,900,079   2,100,011   2,100,031   2,100,041   2,100,053   2,100,071   2,100,079   2,100,097   2,200,013   2,200,031   2,200,043   2,200,049   2,200,061   2,200,069   2,300,017   2,300,021   2,300,029   2,300,047   2,300,057   2,300,063   2,300,071   2,300,087   2,400,019   2,400,031   2,400,037   2,400,053   2,400,067   2,400,089   2,500,027   2,500,049   2,500,051   2,500,067   2,500,081   2,500,087   2,500,097   2,600,011   2,600,033   2,600,051   2,600,057   2,600,089   2,700,023   2,700,037   2,700,067   2,700,079   2,700,083   2,700,091   2,800,033   2,800,051   2,800,069   2,800,073   2,800,079   2,900,017   2,900,039   2,900,057   2,900,059   2,900,063   2,900,069   2,900,077   2,900,083   2,900,099   3,100,043   3,100,057   3,100,061   3,100,067   3,100,079   3,100,087   3,100,099   3,200,027   3,200,033   3,200,039   3,200,051   3,200,069   3,200,081   3,300,019   3,300,029   3,300,041   3,300,061   3,300,071   3,300,097   3,400,043   3,400,063   3,400,073   3,400,087   3,400,091   3,400,093   3,400,097   3,500,017   3,500,023   3,500,033   3,500,041   3,500,059   3,600,013   3,600,017   3,600,041   3,600,053   3,600,097   3,700,013   3,700,031   3,700,043   3,700,049   3,700,051   3,700,087   3,700,091   3,700,093   3,700,097   3,800,021   3,800,051   3,800,053   3,800,059   3,800,063   3,800,081   3,900,067   3,900,097   4,100,011   4,100,023   4,100,051   4,100,069   4,100,099   4,200,013   4,200,019   4,200,023   4,200,043   4,200,047   4,200,073   4,300,013   4,300,063   4,300,067   4,300,069   4,300,081   4,400,021   4,400,023   4,400,027   4,400,041   4,400,069   4,500,029   4,500,043   4,500,047   4,500,049   4,500,061   4,600,021   4,600,027   4,600,051   4,600,061   4,600,073   4,600,087   4,600,093   4,700,021   4,700,023   4,700,039   4,700,053   4,700,057   4,700,063   4,700,071   4,700,077   4,700,089   4,700,099   4,800,023   4,800,043   4,800,049   4,800,053   4,800,067   4,800,073   4,800,083   4,800,091   4,900,031   4,900,037   4,900,057   4,900,067   4,900,087   4,900,099   5,100,071   5,100,077   5,100,079   5,100,083   5,100,097   5,200,021   5,200,049   5,200,051   5,200,061   5,200,081   5,200,099   5,300,027   5,300,033   5,300,063   5,300,081   5,300,083   5,300,089   5,300,093   5,400,019   5,400,023   5,400,037   5,400,053   5,400,071   5,400,079   5,400,089   5,400,091   5,400,097   5,500,021   5,500,067   5,500,073   5,600,027   5,600,029   5,600,039   5,600,047   5,600,069   5,600,083   5,600,087   5,600,099   5,700,031   5,700,041   5,700,047   5,700,053   5,700,061   5,700,073   5,700,089   5,700,091   5,800,019   5,800,021   5,800,027   5,800,037   5,800,049   5,800,057   5,800,079   5,900,047   5,900,093   5,900,099   6,100,013   6,100,019   6,100,027   6,100,043   6,100,049   6,100,051   6,100,067   6,100,091   6,200,027   6,200,059   6,200,063   6,200,071   6,200,081   6,300,011   6,300,017   6,300,023   6,300,029   6,300,061   6,300,083   6,300,097   6,400,013   6,400,019   6,400,033   6,400,091   6,400,099   6,500,023   6,500,029   6,500,059   6,500,063   6,500,077   6,500,093   6,600,031   6,600,043   6,600,053   6,600,067   6,600,071   6,700,033   6,700,039   6,700,063   6,700,079   6,700,087   6,700,093   6,800,033   6,800,047   6,800,069   6,800,071   6,800,077   6,800,089   6,800,093   6,800,099   6,900,053   6,900,067   6,900,077   6,900,083   7,100,017   7,100,029   7,100,059   7,100,063   7,100,081   7,100,083   7,100,089   7,200,023   7,200,043   7,200,047   7,200,059   7,200,073   7,200,097   7,300,037   7,300,043   7,300,049   7,300,079   7,400,011   7,400,021   7,400,023   7,400,051   7,400,069   7,400,077   7,500,013   7,500,029   7,500,049   7,500,061   7,500,071   7,500,091   7,600,013   7,600,031   7,600,039   7,600,067   7,600,069   7,600,079   7,600,093   7,700,071   7,700,081   7,800,017   7,800,029   7,800,041   7,800,047   7,800,053   7,800,077   7,800,083   7,800,097   7,900,033   7,900,043   7,900,073   7,900,091   8,100,073   8,100,091   8,100,097   8,200,013   8,200,037   8,200,061   8,200,079   8,200,091   8,300,041   8,300,057   8,300,069   8,300,077   8,400,011   8,400,019   8,400,031   8,400,043   8,400,047   8,400,059   8,400,061   8,400,079   8,400,097   8,500,021   8,500,027   8,500,057   8,500,061   8,500,067   8,500,069   8,500,081   8,500,099   8,600,023   8,600,029   8,600,041   8,600,047   8,600,063   8,600,071   8,600,089   8,600,093   8,600,099   8,700,011   8,700,019   8,700,031   8,700,037   8,700,047   8,700,059   8,700,071   8,700,079   8,800,019   8,800,037   8,800,049   8,800,069   8,800,073   8,800,087   8,900,029   8,900,039   8,900,051   8,900,053   8,900,093   9,100,033   9,100,051   9,100,061   9,100,067   9,100,079   9,100,099   9,200,017   9,200,021   9,200,027   9,200,029   9,200,033   9,200,053   9,200,057   9,200,071   9,200,089   9,300,017   9,300,023   9,300,043   9,300,047   9,300,079   9,400,019   9,400,021   9,400,043   9,400,049   9,400,063   9,400,073   9,400,087   9,400,093   9,500,021   9,500,041   9,500,047   9,500,089   9,600,037   9,600,047   9,600,091   9,700,027   9,700,039   9,700,063   9,700,073   9,700,079   9,700,099   9,800,027   9,800,053   9,900,047   9,900,091



I hope you enjoy news of the latest advances in Recreational Mathematology.



David