Math Year-Round
@MathYearRound
Derek's Daily Math. Number/Science facts about the day of the year and the month/day. Created by @Derektionary #math #mathchat #mathed
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125th Day of the Year. 125 = 152-52/2-1 125 = 215-21*5+15 125 = 5*21+52*1-1*2^5 125 = (12+5)*(2+5)+(5+2-1) 125 = 2^(5+1)+(52+(5*2-1))
I'm not dead either. I just rarely use this account...hopefully things will pick up over the summer
269th Day of the Year. 269 = 296-9*(9-6) 269 = 629-(6+9)*(6-2)! 269 = 692-9*(62-6-9) 269 = 9²*(9-6)+26 269 = 962-6!+9*6/2 269 = 2⁹-9²*(9-6)
Jun 10, 6/10. 610111...11 (610 1's after 610) is prime. 3^610, 3^611, and 3^612 have the same number of digits. derektionary.webs.com
155th Day of the Year. 155² +155 ± 1 are twin primes. The max coefficient in (1+x+x²+x³)⁵ is 155. More #math at derektionary.webs.com
153rd Day of the Year. 153 = 315-(5-3)*3^(5-1) 153 = 35*1+5*13+1*53 153 = (15-3)*13-(5-3+1) 153 = 5!+(31+5-3) 153 = 3!*(5-1)!+(1+5+3)
152nd Day of the Year. 152 = 215-(5*2-1)*(1*5*2) 152 = 25*(5-2)!+(5-2-1) 152 = 125+(5-1)!+(5-2*1) 152 = 5!+1*2^5 derektionary.webs.com
May 30th, 5/30. 530*4^530 - 1 is prime (322 digits). 530*6^530 - 1 is prime (416 digits). More #math at derektionary.webs.com
147th Day of the Year. 147 = 174-(7-4)^(4-1) 147 = 471-4*71-4*(7+4-1) 147 = 1*47+14*7+14/7 147 = 741-471-41*(7-4) derektionary.webs.com
144th Day of the Year. 144 = 12², 441 = 21². 144 = (3!^2)*(2!^2)*(1!^2)*(0!^2). The max determinant of a 9x9 matrix of 0s and 1s is 144.
143rd Day of the Year. 3² + 4² = 5². 3³ + 4³ + 5³ = 6³. But 3⁴ + 4⁴ + 5⁴ + 6⁴ = 7⁴ - 143. 1+1/2+1/3+...+1/143 has a prime numerator.
April 22nd, 4/22. 422 = 242+2*42+(4+2)*(4*2*2) 422 = 224+22*4+22*(4+2/2) 422 = (42+2)*(4*2+2)-(22-4) 422 = (42-2)*(22/(4-2))-(4!-4*2)
101st Day of the Year. 101 is a palindromic prime. 101 - (1+0+1) = 99 is a palindrome. 101 + (1+0+1) = 103 is a prime. #math
93rd Day of the Year. 9*10^93 - 1 (8999...999 with 93 9's) is prime. '0' and '4' appear 93 times each in the first 1000 digits of π.
61st Day of the Year. If A=1,... Z=26, then the word PRIME is prime. 61!-60!+59!-...+1! is prime. No Fibonacci number is divisible by 61.
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