Last puzzle repeated

1570319557147066845599968116020486029902820435307442741895752337540667209488970390897552869446548367952467332482262481849398328652881985752733043144764215077429333140928626393687101001187439099738665392345390984741006335247879104386642699582770369144806089471886704543461093525741674764864882553279278270519463584480288375130775740937211255117330545091739842110157884671250113142689258777038255738509428332933553853434929905078519218591924384657466379184710166385106467191512347501847375678922105994275761641984113556229139558377477204934611764071187722945740489590877413908067362566183907172481116821833283359778441277502374255737544666794520636829292693317446404644661931602094363636242533203136604063480057747298969352101152299638135009188681216499073084393962055698177762207533990923551631903868279891837295886204693216378244015970882522151224612490310932491756096164363954733947547927097941756464641227555538740412802322522528833875941460061597174637629106108386252174876254920385403473653588115919681595316185916097335757373022948306746342116167808658102716828202220517190512345173374054342903649670898542790205267282480265883639313820465807531133811037800528274414257717886277895604969551818390828335623838372582051226077078485164480203740310069368020811641751663071448691222677052395637433277252164289583041242124216460933740870696343923496596889238126610859652172683116098199155651225507920272564614024934955726051648290395217254332837154120353272518873417834387661353175452428856804737409910683435683042687297513148398984243848473928724190558133782585692558047228969894066663361922514691589242287261815841990705276103412794923582042037315412914133297268660578369997628310300497429387929758515885609721773702116312471626971690794730069616867748975149652331342871989254812142051939132054444275031666923226062451110691428629615593267181541968189819330708538545607541404383082253457198675255085865756893835136040036684310807734891244470045350787515192853256834433903722315799605464371762687743493381549869762003683574635750295030762391179620804466732289734325493916462634015745009444896048044139300072736762992754882965567368002348398912392499049387184027453569898884688266694555744325096760825[repeated]  

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Clean vetted C program for Collatz total stopping time records

I’m copying below a clean copy of my latest C program to find some (but not all) record breaking values of the modified total stopping time to reach ‘1’, based on a small variant of the Lagarias total stopping time function sigma_{oo} (n),  for integers  n at least two, introduced by Jeffrey Lagarias in his… Continue reading Clean vetted C program for Collatz total stopping time records

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Defining a modified Total Stopping Time function for Collatz conjecture

——————————————– This below confirms that for n = 12,235,060,455 it takes 1184 iterations of the mapping: f(k) := 3k+1 (for k>=1 and odd)f(k) := k/2 (for k>=2 and even) in order to reach 1. This of course is related to the Collatz conjecture.I’ll call this way of counting total steps theMODIFIED TOTAL STOPPING TIME (in… Continue reading Defining a modified Total Stopping Time function for Collatz conjecture

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Why I won’t upgrade to CentOS 7

I’m now on CentOS 6.5 for the x86_64 architecture. Upgrading via “yum update” had gone smoothly since about CentOS 6.3, about 18 months ago. I’m satisfied with GNOME 2.28. But I hear that CentOS 7 no longer has GNOME 2.28, rather GNOME 3. I’ve invested a lot of time in installing software that works and… Continue reading Why I won’t upgrade to CentOS 7

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