I think a prime's square minus two is never divisible by 19, 37 or 61,
where 19, 37, 61 are prime numbers and populations of the still-lives shown below.
Can anyone prove or disprove this?
Code: Select all
x = 22, y = 22, rule = B3456/S346H
13b5o$13b6o$13b7o$13b8o$13b9o$14b8o$15b7o$16b6o$17b5o$6b4o$6b5o$6b6o$
6b7o$7b6o$8b5o$9b4o2$3o$4o$5o$b4o$2b3o!
#C [[ GRID THEME MCell ]]
LuveelVoom wrote: February 20th, 2025, 9:48 pm11^2=121tommyaweosme wrote: February 20th, 2025, 9:35 pm BIG DISCOVER!!!!!
A PRIMES SQUARE MINUS TWO IS A PRIME!!!!!!!! (tommyaweosmes conjecture)
TRY TO DISPROVE IT!!!!!!!
121-2=119
119=7*17
tommyaweosme wrote: February 20th, 2025, 9:51 pm oh.
maybe 11 is the only exception?(tommyaweosmes conjecture v2)
17^2)-2)/41=7
maybe if the digits add to an even number then it doesnt count?(tommyaweosmes conjecture v3)
23 also doesnt follow this rule
augh i give up