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N = x*y Let N = 85 (N^2 + x^3) / N = N + (x^2 / (N^2/ x + x) * N Y1graph = (N^2 + x3) / N Y2graph = N + (x^2 / (N^2/ x + x) * N Y1graph - Y2graph < 1 I can graph them where it intersects. I can also equate the inequality,but I want to solve for x knowing only N. Not plugging in N and x. I was thinking I could use the derivative of each side. Until x^3 = 6x in the first equation I gave you in my first post. This would not work with the ygraph because their graphs are only equal when N = 85. I don’t have any clue how to solve for x. The rules of simplification I know have failed me.

I want to solve for x. Yes I know that I did not isolate x, but I know the equation has a solution. I cannot get Mathematica to solve it. I was wondering if there is anyway to solve such equations. It is a recurring theme. It is not like a text book problem that is designed to be solved. I keep making complex equations I can’t solve. I don’t know of any way. The rules I have learned aren’t sufficient to solve. The equation is simple enough,, but I thought it would have an easy solution. Does this equation mean anything to you?

How do we solve polynomial equations? I only know how to simplify them. If you could solve this polynomial say N = 85 it would earn a million dollars. Remember who gave it to you. x^3 = N^2 * (x^2/(N^2/x + x)) Solve for x

Well I cannot describe a Utopian society. What I am trying to describe the best possible Earth. Mainly peaceful, less crime, freedom of thought, and no suffering ring. Obviously I have no idea how it works. But can you achieve it without religion? Can science alone do it? And how would you use science to accomplish this? I feel the scientist disregards religion because of what they have experienced growing up. Leave out the miracles such as walking on water. Scientists are more concerned with the way religious people behave. The think they are simple following a bunch of rules and it isn’t true. They think we are stupid and make their own rules But nonbelievers don’t realize they follow the rules because we chose to. It isn’t just about following rules it is a way of life. So a hammer doesn’t smash the hand holding it does? Guns don’t kill people, people kill people? I know just about any science achievement can be misused. But you just proved my point that properly used science is beautiful. But it cannot improve the world by itself. Religious cuts have contributed almost nothing beneficial to humanity over the span of about 3000 years. Worshiping an imagined God just serves to generate more superstition, myth, fallacy, and plain nonsense. Science has provided most of what we depend on daily, for healthy living, and convenience, not to mention wealth. Without scientific discoveries we would be dead within 3-4 weeks (think chlorine to disinfect water, the Haber Process for the generation of fertilizer , etc).” What history are you reading? Religion is mainly responsible for the world now. The Renaissance, The education system. The Constitution. WWII. And remember a lot of science is the result of war. And we fund science for profit. Prescriptions, medical. Didn’t you see the movie where Tony Stark saw all the profit he made on weapons being used for war?

I thought this topic would bring up the limitations of science. I don’t mean a limitation of thought. But does not one scientific solution lead to more problems. Like the atomic bomb it ends war with Japan but adds the potential to destroy the planet. And I don’t think the scientist are at fault because they have a drive to create. But no matter how smart they claim to be they never consider how others will use the invention. They are foolish. I’m not saying this to insult them. They are smart but so stupid in other ways. I saw the interview with Dr. Fauci and he predicts Covid 4 years ago. Doesn’t this sound an alarm? I think a utopian world will happen when we learn to control science. And by control I don’t mean oppressing it I mean an agreement not to misuse it. That would happen by the attitudes and belief of man. But how do you propose to do that without religion? I mean you could use psychology or sociology. But would these social sciences then be considered religion. It is not the laws of religion most scientist abject to but the spiritual parts. “Do not murder,” makes sense to the scientist. Thoughts

I asked both questions to ask if science is enough to “fix” the world. As scientist (amateur include) we want a better world. But do we work in vain? For those old enough to remember the start of the internet, remember when people called it ideal because everything was anonymous. No race, no gender, only knowledge. I am interesting to see what everyone posts. What if the best world for humans is chaotic? I mean a world we live in. And maybe it has the potential to be a utopia but we can’t reach it. Is science going to realize the potential of a world that already exists? And you want you science to do well, but is it enough. And what as a scientist is the goal of your creations if we can’t fix the world? Like one post said is it an end in itself? And if science could not reach the utopia would you consider religion?

Can science produce a utopian world? and What is your personal goal to the science you do? (edited by mod)

To me we could debate this forever without one convincing the other. But you are a scientist, isn’t what isn’t proven, not understood, the unknown the unexplainable what drives the scientist. He wants to cure illness, understand the physical world, and improve his knowledge. i don’t see where religion would hinder those things. It may actually augment it. i just think into the future when someone scientist walks on water, he will say look I am the first to walk on water. And peers will say, Uh Oh. My question to you is why does your science rely only what we know presently. Man relying only on his own knowledge is foolish.I don’t mean not making informed or best decisions. I mean to you it makes sense but you have incomplete knowledge. This is everybody. If the science is limited by us it will never give answers. Technology does not always improve the world. Science still needs righteousness.

What if the science existed to control the displacement of water? The shape of Jesus sole to a depth of water to support his weight. If you could control how a force is displaced you need less force to move. A rocket ship wastes so much energy to release pressure to lift. I’m not saying such technology exists. It would probably involve controlling atoms. I’m just saying: Jesus does it it’s a fairy tale; Luke Skywalker does it it’s the force.

What if religion and science did not contradict each other but supported each other. Say: Jesus walked on water. Not possible he would sink. But scientifically the area of his sandals displaced the water below him straight down until the water displaced below his feet equals his weight? From your perspective you see religion as wrong, but you forget you are believing that science explains everything. You forget you are believing as much in science as someone is in Jesus. Michio Kanu says both sides are wrong in that they can’t prove anything. So so we argue this instead of working on meaningful science.

Trump did shut down businesses even if it meant hurting the economy.

Keep it simple. Use Photoshop. Almost everyone has it and you can draw anything you want. Also use layers is simple and can display many different screens. I don't know how to view your screen on Skype, but it should be possible. You can share the Photoshop files and no one needs to download more software. You can export to gif or jpeg.

This is a young person that ask why we need a fast computer. I was in graphics school in 1997 and the computers were state of art at the time, and storage was the main factor. If you made a graphic in Photoshop you had no media to back up your file. Thirty people printing at a time made the network crawl. It used to be you had to buy a computer every year because yours went out of date. Now I have 12 cores. I think the problem is programming so those cores work as one. But I am more interested in using less processing power to solve tasks. From what I know of programming it is more complex to programming cores. Does anyone know any good sites on C++ and Python that discuss this? Many cores made the Sega Saturn and PlayStation 3 hard to program. Games were delayed for the PS3. Xbox 360 games were smoother. So even with 7 cores of the Cell processors, if you cannot program it efficiently it does not get used. On the other hand, programmers complained the Nintendo Wii wasn’t powerful enough.

Well I think this guess is relatively close to the smaller factor. Notice that I gave you a way to recreate the work. I also gave you a way to check y=(PNP^2/q) + q^2)/ PNP Does anyone know what the actual PNP is? I can approximate but when dealing with such a large number it is difficult for me to have a check without error. The next step is statistics. N - Nguess If you graph the N minus the guess N there is a Bell Curve (The normal distribution). This distribution also allows the use of calculus to make better math structured guesses.

I agree with curious layman. If you are a believer or not, it has nothing to do with rather you a scientist or not. It could be that more Nobel winners are believers because they are trying to change the world. It is the Nobel Peace prize, after all.

Oh, and y=((PNP^2 / q) + q^2) / PNP And I invite you to look at my profile. (For things that don’t fit here but add to the conversation.)

If you change q then PNP actual will not equal PNP estimate. This equation is PNP estimate: (Sqrt[((((q^2 * PNP^4 + 2* PNP^2 * q^5) + q^8) / PNP^4) * ((PNP^2/ q^2)))]) I subtract it by the actual PNP. N = N or 0 =0 q is imputed as a guess. Large numbers but usually less than 10 guess to get the right magnitude. If you change PNP to some other integer you get a different answer. You can experiment. Follow the fist set of code and substitute different n and q. (Sqrt[((((q^2 * PNP^4 + 2* PNP^2 * q^5) + q^8) / PNP^4) * ((PNP^2/ q^2)))]) It should give the location of the least factor of any PNP

Yes if q is close PNP/q would also be close. I am only guessing at q. It comes close to the smallest factor of PNP. The remaining factor should also be close. But the error would be slightly greater. But I do have equation for the larger factor also. I put it in scientific notation so that it is easier to read. I like seeing the magnitude, like 409. I am doing semiPrimes but I don’t see a reason it can’t be used to factor any number. You can help by giving me large PNP’s to test. I only have 3 such numbers. Again this number needs verified. Some people own the factors. I have to find a method to verify. Finding the larger factor, even by division is a good place to start.

1.00111140657194927673100202970050001121410737599782781945816245736513\ 1278468842516733150612150020222444199271535713836705106165363816940972\ 7852961341531082700951250374290657534893907437882494339828790027283967\ 8323968773124658157519009514402613556863757843081318031549066464063464\ 8903637088626834871049426813651449824514934961323715586782698519267036\ 4136957297127727185659878862942307510915960740199425171606099*10^409 This is just to clear up the difficulty reading all the input. This is my best work. I believe it is a factor in many 2048 bit Primes. 2048 was worth $200,000. To bad the prize expired, but I still want to decipher this. So as I mentioned earlier in the post the moderators don't like me posting endless code. Here is my best work so far.ou It should be close to the integer that factors the 2048 bit number. But if someone could verify this I would appreciate the help. And I looked it up the product is a 2048 bit number. It has 617 digits. And if you can break a 2048 number RSA is compromised. But we must see if it works first.

Well I found the reason I couldn't get accuracy was because you have to have the accuracy in all numbers you use. For example when I plugged it into the equation and say divide by q, q needed more "accuracy". It makes sense but makes it more difficult. But I will post my numbers here. Tell me if I am in reasonable estimate. It is probably guaranteed to fail, but I did put some effort and though into it. Here I used the full size. Also there is a normal distribution between PNP and estimated PNP. This normal distribution will help when guessing q. Yes, you are guessing q, but it is an educated guess. But if I did do a correct factorization this should equal the smaller semi-Prime. But there are no guarantees in math, especially when I wield the chalk. In[87]:= PNP = \ 5998490465869535958493457351726585769768780414997827819458162457365131\ 2784688425167331506121500202224441992715357138367051061653638169409727\ 8529613415310827009512503742906575348939074378824943398287900272839718\ 1012226608631723752258738079635407385665857943917136911564807480973854\ 0477603441448614459671016259991520028750578991648135327261214372672798\ 0903767703277168633339347967002362666965628644859661675221629352149974\ 9737800846524363691459902238665732702744582185179531226365443974338304\ 5939787842818642200160191894955133225326542363885702300787221019449943\ 58570309218509180305727137122851736117179378654706701977 q = 100111140657194927673100202970050001121410737599782781945816245736\ 5131278468842516733150612150020222444199271535713836705106165363816940\ 9727852961341531082700951250374290657534893907437882494339828790027283\ 9718101222660863172375225873807963540738566585794391713691156480748097\ 3854047760344144861445967101625999152002875057899164813532726121437267\ 2798090376770327716863333305727137122851736117179378654706701977 (Sqrt[((((q^2 * PNP^4 + 2* PNP^2 * q^5) + q^8) / PNP^4) * ((PNP^2/ q^2)))]) Out[87]= 5998490465869535958493457351726585769768780414997827819458162\ 4573651312784688425167331506121500202224441992715357138367051061653638\ 1694097278529613415310827009512503742906575348939074378824943398287900\ 2728397181012226608631723752258738079635407385665857943917136911564807\ 4809738540477603441448614459671016259991520028750578991648135327261214\ 3726727980903767703277168633339347967002362666965628644859661675221629\ 3521499749737800846524363691459902238665732702744582185179531226365443\ 9743383045939787842818642200160191894955133225326542363885702300787221\ 01944994358570309218509180305727137122851736117179378654706701977 Out[88]= 1001111406571949276731002029700500011214107375997827819458162\ 4573651312784688425167331506121500202224441992715357138367051061653638\ 1694097278529613415310827009512503742906575348939074378824943398287900\ 2728397181012226608631723752258738079635407385665857943917136911564807\ 4809738540477603441448614459671016259991520028750578991648135327261214\ 372672798090376770327716863333305727137122851736117179378654706701977 Out[89]= 3598289120705448492680059328834150322334448001622207912714128\ 6270306210690982540842543166403185241528795593766557486803136707938239\ 9271568942784642138646253353005635251855229982611082096617495327278988\ 6034138314595363712227903179098321332099042432094688889127255335934193\ 9910144822398803499036502791144788509725289029463011569872361246547341\ 6704558693865441793928494373571600592379630273961383590475105039969803\ 4486006253937796053837292199526847062983929041955904851574667653698032\ 3857793905098071574856310703189698344331355376605289838666116963502002\ 6997060484687691461523482749370524184741214446654994931729474157718575\ 2841702466111288399698046811183489665378322814876150691592558659206780\ 2286418935629292572033313994010480687164705289161159744459388883459593\ 5417694325251091407974625486305114294619946100659923237342349281588128\ 5015922425899569331395553047909343109656577179687855701640487791877470\ 2183218224730158957774351157867826711168016592832118240706695248547427\ 3761140291569496246525045715862623693727981640129087695758751448931583\ 9404145850115356336230295181816945324724356322936413641186755171066366\ 3522872281703641670265347320445417438356191517766072467035543617922477\ 292918483946522593224083703496041911554568355770362/\ 5998490465869535958493457351726585769768780414997827819458162457365131\ 2784688425167331506121500202224441992715357138367051061653638169409727\ 8529613415310827009512503742906575348939074378824943398287900272839718\ 1012226608631723752258738079635407385665857943917136911564807480973854\ 0477603441448614459671016259991520028750578991648135327261214372672798\ 0903767703277168633339347967002362666965628644859661675221629352149974\ 9737800846524363691459902238665732702744582185179531226365443974338304\ 5939787842818642200160191894955133225326542363885702300787221019449943\ 58570309218509180305727137122851736117179378654706701977 In[90]:= PNP - 3598289120705448492680059328834150322334448001622207912714128627\ 0306210690982540842543166403185241528795593766557486803136707938239927\ 1568942784642138646253353005635251855229982611082096617495327278988603\ 4138314595363712227903179098321332099042432094688889127255335934193991\ 0144822398803499036502791144788509725289029463011569872361246547341670\ 4558693865441793928494373571600592379630273961383590475105039969803448\ 6006253937796053837292199526847062983929041955904851574667653698032385\ 7793905098071574856310703189698344331355376605289838666116963502002699\ 7060484687691461523482749370524184741214446654994931729474157718575284\ 1702466111288399698046811183489665378322814876150691592558659206780228\ 6418935629292572033313994010480687164705289161159744459388883459593541\ 7694325251091407974625486305114294619946100659923237342349281588128501\ 5922425899569331395553047909343109656577179687855701640487791877470218\ 3218224730158957774351157867826711168016592832118240706695248547427376\ 1140291569496246525045715862623693727981640129087695758751448931583940\ 4145850115356336230295181816945324724356322936413641186755171066366352\ 2872281703641670265347320445417438356191517766072467035543617922477292\ 918483946522593224083703496041911554568355770362/ 59984904658695359584934573517265857697687804149978278194581624573651\ 3127846884251673315061215002022244419927153571383670510616536381694097\ 2785296134153108270095125037429065753489390743788249433982879002728397\ 1810122266086317237522587380796354073856658579439171369115648074809738\ 5404776034414486144596710162599915200287505789916481353272612143726727\ 9809037677032771686333393479670023626669656286448596616752216293521499\ 7497378008465243636914599022386657327027445821851795312263654439743383\ 0459397878428186422001601918949551332253265423638857023007872210194499\ 4358570309218509180305727137122851736117179378654706701977 Out[90]= -(\ 1003337926762389049221126796215583044111287392509572407957361630075276\ 9505131574604802375389492124492898548849744921866438826479970845253166\ 5286371164639751196966576858129600921807606026358615662532610138182538\ 3636765498759821676246069237032957534374432336610334560127204527283356\ 3999143594559687482446004256128329553814501088092018965233439791910082\ 2846991619424657099049350300585147978932265245231395879838950171324512\ 2970817464138978364753024470618424771102246294259091573015051471283229\ 1081100169373970495499690724467160987209063036567035108939022149134886\ 2517355182826636423935614329522097000601647962594541064070461627390134\ 7536657230472436382754096021417129062587067688590412252385403913508714\ 1961325083408245209320940098986654344561959190907809042686958196441030\ 3899437797648943140246355017712110654807887087624921809884308040202223\ 9996383269290296202903487456758097609903645061411424222739152682711747\ 0322353005743890894510415982298620570596253483316856775695754866581314\ 3664508949852483173726698633100818473785829707870858896643911724929114\ 4859482370915211019498575494065439836529883870306766859074115080141713\ 8666208933121978732291153355129507645934297155764596339013578313268902\ 46560926762406703208585328968060061833/ 5998490465869535958493457351726585769768780414997827819458162457365\ 1312784688425167331506121500202224441992715357138367051061653638169409\ 7278529613415310827009512503742906575348939074378824943398287900272839\ 7181012226608631723752258738079635407385665857943917136911564807480973\ 8540477603441448614459671016259991520028750578991648135327261214372672\ 7980903767703277168633339347967002362666965628644859661675221629352149\ 9749737800846524363691459902238665732702744582185179531226365443974338\ 3045939787842818642200160191894955133225326542363885702300787221019449\ 94358570309218509180305727137122851736117179378654706701977) In[91]:= q - (10033379267623890492211267962155830441112873925095724079573616300\ 7527695051315746048023753894921244928985488497449218664388264799708452\ 5316652863711646397511969665768581296009218076060263586156625326101381\ 8253836367654987598216762460692370329575343744323366103345601272045272\ 8335639991435945596874824460042561283295538145010880920189652334397919\ 1008228469916194246570990493503005851479789322652452313958798389501713\ 2451229708174641389783647530244706184247711022462942590915730150514712\ 8322910811001693739704954996907244671609872090630365670351089390221491\ 3488625173551828266364239356143295220970006016479625945410640704616273\ 9013475366572304724363827540960214171290625870676885904122523854039135\ 0871419613250834082452093209400989866543445619591909078090426869581964\ 4103038994377976489431402463550177121106548078870876249218098843080402\ 0222399963832692902962029034874567580976099036450614114242227391526827\ 1174703223530057438908945104159822986205705962534833168567756957548665\ 8131436645089498524831737266986331008184737858297078708588966439117249\ 2911448594823709152110194985754940654398365298838703067668590741150801\ 4171386662089331219787322911533551295076459342971557645963390135783132\ 6890246560926762406703208585328968060061833/ 599849046586953595849345735172658576976878041499782781945816245736\ 5131278468842516733150612150020222444199271535713836705106165363816940\ 9727852961341531082700951250374290657534893907437882494339828790027283\ 9718101222660863172375225873807963540738566585794391713691156480748097\ 3854047760344144861445967101625999152002875057899164813532726121437267\ 2798090376770327716863333934796700236266696562864485966167522162935214\ 9974973780084652436369145990223866573270274458218517953122636544397433\ 8304593978784281864220016019189495513322532654236388570230078722101944\ 994358570309218509180305727137122851736117179378654706701977) / q Out[91]= 6005157227595078439406835238794066464166217361556872908440991\ 1282976544749217352966095305064260976131204390106416093998394042208854\ 7593647838596486806269285487124538411876902031290465184358522934882710\ 7468932015125430085020735266385041418658401844011223865199560944341434\ 4382977176112915945427311858818259246049722738902468149157934513552061\ 9997688297974236046666408569893388019019418263378453571233264289205298\ 0480472873653140396089108178522939945009442689406711806507044965048418\ 8748542472073681797599573830861480964578658197776249730088320427676273\ 6418233713375287621166773563131993803042568857955930966082301794497535\ 4422340480161776806362976983653377730194820252303936196500528833754719\ 9077913968987780900871348721284098276417837541324502971810887802119298\ 3741091413474024436422904784647114333872970673475514338028366026036503\ 6450734925328262248208337288071391792959821279837279132465988631047083\ 9237550307052196288077036452576036598708270768314556635456479313448765\ 326486828739519000000000000000000000000000000000000000/\ 5998490465869535958493457351726585769768780414997827819458162457365131\ 2784688425167331506121500202224441992715357138367051061653638169409727\ 8529613415310827009512503742906575348939074378824943398287900272839718\ 1012226608631723752258738079635407385665857943917136911564807480973854\ 0477603441448614459671016259991520028750578991648135327261214372672798\ 0903767703277168633339347967002362666965628644859661675221629352149974\ 9737800846524363691459902238665732702744582185179531226365443974338304\ 5939787842818642200160191894955133225326542363885702300787221019449943\ 58570309218509180305727137122851736117179378654706701977 In[92]:= N[%91] Out[92]= 1.001111406571949*10^409 smallest factor

I think it is me calling it the wrong thing. I still confuse how many bits a key is long. But I have the number I used here in this post. If I can get the digits of accuracy I believe I can factor this number. I know I can factor smaller numbers within a margin of error. But to prove I can factor I have to break this number. That is why when I said "the right magnitude" I mean the factor will occur at 410 digits. Obviously that is a lot still to use recursion to divide. But if I can maintain the entire 410 digit number I could factor within a smaller margin of error. You see the only way to prove that I can factor is to factor a large number. But large semi-Primes are hard to find. And yes the nomenclature of this math confuses me. But I hope to clear it up in this post. 5998490465869535958493457351726585769768780414997827819458162457365131\ 2784688425167331506121500202224441992715357138367051061653638169409727\ 8529613415310827009512503742906575348939074378824943398287900272839718\ 1012226608631723752258738079635407385665857943917136911564807480973854\ 0477603441448614459671016259991520028750578991648135327261214372672798\ 0903767703277168633339347967002362666965628644859661675221629352149974\ 9737800846524363691459902238665732702744582185179531226365443974338304\ 5939787842818642200160191894955133225326542363885702300787221019449943\ 58570309218509180305727137122851736117179378654706701977 This is the semi-Prime I used. You are right that it is shortening my value in Mathematica and making it displayed as a float point. But the thing is Mathematica does have the precision. I tried to get to use the accuracy, but even though Mathematica can have the accuracy, it again comes out in scientific notation. But did I make the magnitude? I am saying that 1.165633406571949 is the first 16 digits or the smallest factor that has 410 digits. So if anyone knows anything about Mathematica and how to keep the precision let me know.

First I am surprised no on replied to this topic. Secondly I’m not a biologist. CMU has sensors of the local air pollution. The hospitals have the cancer demographics. But the problem is the average user only has access to the local news. The only way that I know to get data would be to survey the local families who are in the polluted air area. The fact is they know who the polluters are, but it would impact industry. So instead of closing a chemical plant they place emissions on automobiles. I don’t mean to sound political, but conservation biology often is. If those biometrics you are looking to compare were known, people could judge for themselves the condition of the environment.