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Requires GCD(A,B)=1. is an integer ZInvMod A, M Return X such that A*X = 1 (mod M). Requires GCD(A,M)=1. is an integer >= 1 is an integer modulus >= 2 CCCCC ZSquareExtrap A, B, C, X Returns f(x) given f(1)=A, f(2)=B, f(3)=C using 2nd degree polynomial interpolation. ZSquareFit A, B, C Returns quadratic f(x) such that f(1)=A, f(2)=B, f(3)=C. CB ZFrac Finds a fractional representation for a number. Warning: May approximate is any real number. C ZVer Returns the version of the ZMath addin ZReverse Returns a number with digits reversed in base-10. ZPrevPrime Returns greatest prime number less than a given number. ZNextPrime Returns least prime number greater than a given number. ZSmallDivisor Returns smallest prime divisor of N (if under 2*10^9). ZDigits N Returns # of digits in decimal representation of N. is any integer. ZDiv Return X / Y. is a non-zero integer.. ZPhi Evaluates Euler's totient function on X. ZSuperPowerMod Q,M Returns 2^2^q mod m ZOrder B,N Finds least k such that b^k = 1 (mod n). ZDLog X,C,N Finds k such that x^k = c (mod n). (SLOW) CCCJ ZKRootMod C,N,K Finds x such that x^k = c (mod n). (SLOW) ACCJ ZKAdic X,Y,K Returns TRUE if X is K-adic mod Y. I.e. Z^K = X (mod Y). (SLOW) is an integer modulus. is an integer power.. BC ZLog Returns ln(X). ZGCD Returns GCD(X, Y). CJ ZRSA Returns the RSA challenge number of specified length. is the length of an RSA challenge number, i.e. 100, 110, 120... ZKthRoot X, K Returns Kth root of an integer. I.e. X^(1/K). is an integer. is an integer.. ZPellSolve D Returns (x,y) where x^2 - D*y^2 = +1. is a positive integer. ZSqrtMod Finds Z such that Z^2 = X (mod Y). must be a quadratic residue mod Y. must be an odd prime.. JCC ZJacobi Returns the Jacobi Symbol (X/Y). is an integer residue. ZPalindrome Returns TRUE if X is a palindrome like 12321, FALSE otherwise. AC ZProbPrime Returns TRUE if X is a probable prime. If FALSE, X is provably not prime. The number you wish to test. CCCC ZPowMod X, Y, Z Computes X^Y mod Z. ZFactor Attempts to factor an integer into primes. Uses TD and P-1 method. The number you want to factor. CC ZSqrt X Returns the integer square root of X. is the number you want the integer square root of. CCJ ZPow Returns X^Y, X raised to the power Y. is an integer base. is an integer exponent. ZMod Returns X mod Y. is an integer quotient. is an integer modulus.. ZMul Return X * Y. is an integer you want to multiply. is an integer you want to multiply.. ZSub Returns X - Y. is the integer you want to subtract from. is the integer you want to subtract. CCC ZAdd X, Y 1 ZMath Returns X + Y. is an integer you want to add.Error: use length 100,110,...250, or 129,155,232100988139787192354690956489430946858281823382195557395514112051620583102133852854537436610975715436366491338008491706516992170152473329438927028023438096090980497644054071120196541074755382494867277137407501157718230539834060616207910941738641570527421809707322040357612003732945449205990913842131476349984288934784717997257891267332497625752899781833797076537244027146743531593354333897114381625757888867669235779976146612010218296721242362562561842935706935245733897830597123563958705058989075147599290026879543541214032465024074496126442307283933356300861471514475501779775492088141802344714013664334551909580467961099285187247091458768739626192155736304745477052080511905649310668769159001975940569345745223058932597669747168173806936489469987157849497593749793712462036678171878406583504460810659043482037465167880575481878888328966680118821085503603957027250874750986476843845862105486553797025393057189121768431828636284694840530161441643046806687569941524699318570418303051254959437137215902923609917969491597941066732916128449573246156367561808012600070888918835531726460341490933493372247868650755230855864199929221814436684722874052065257937495694348389263171152522525654410980819170611742509702440718010364831638288518852689226013852620340578494165404861019751350803891571977671832119776810944564181796667660859312130658257725063156288667697044807000181114971186300211248792819948748206607013106658664608332798280356037920539198013994649695526124524664490027821197651766357308801846702678767833275974341445171506160083003858721695220839933207154910362682719167986407977672324300560059203563124656121846581790410013185929961993381701214933503487587055106727997833911221327870829467638722601621070446786955428537560009929326128400107609345671052955360856061822351910951365788637105954482006576775098580557613579098734950144178863178946295187237869221823983190755640506069649106145043264602886108117975953318446064797562231891502558718417575405497615512159329349226046415263009323850924660320741712472612158085818598593894694549048172175640142348119114792771898660968922946663145464981298624627666735486418850363880726070343679905877620136513516127813425829612810920004670291298456875280033022177775277395740454049570785142104126062623684139844921529879266674432197085925380486406416164785191859999628542069361450283931914514618683512198164805919882053057222974116478065095809832377336510711545759215274110271888970189601520131282542925777358884567598017049767677813314521885913567301105977349105960249790711158521430207931466520284014061994699492757040775315508981247834844050960675437001186177065454583099543065546694577431263270346346595436333502757772902539145399678741402700350163177218684089079596468321290246318258757547497882016271517497806703963277216278233383215381949984056495911366573853021918316783107387995317230889569230873441936471180708208868740480595165616440590556627810251676940134917012702145005666254024404838734112759081230337178188796656318201321488055722701048129543736333425996094749366889587533646608478003817325824700916267577973538979115157404916674788048747029654847935794234179725868774991807832568455403003778024228226193532908190484670252364677411513516111204504060317568667152260502792253336053561837813263742971806811496138068865790849458012296325895289765400035069200613963230510168037868567683037322915198006103848494083437723516453%d1.1.0.5-C6?-C6 ?%d/%d-%d/%dNumber might not be fractional-%dErr_TooBig-11),(1,0)NoneAllc:\bin\factor.exe -s %sNo divisor under 2*10^92(%s/2)x%sx-xx + - (%s/2)x^2%sx^2-x^2x^2ERROR: GCD(A,M) must be 1ERROR: 'M' must be >= 2ERROR: 'A' must be >= 1(%s,%s)%sERROR: GCD(a,b)>1C_^2*%u%u^%u][Composite: %s*%s * C:\bin\factor.exerbjkcjkcout of memory in vector::SetLength()SetLength: can't change this vector's lengthexcessive length in vector::SetLengthnegative length in vector::SetLengthyH/ ??330C4#X## $ &}&e+000~PAGAIsProcessorFeaturePresentKERNEL32CorExitProcessmscoree.dll@BAA[BdBCCQCEE|IIIIKKMruntime error TLOSS error SING error DOMAIN error R6028 - unable to initialize heap R6027 - not enough space for lowio initialization R6026 - not enough space for stdio initialization R6025 - pure virtual function call R6024 - not enough space for _onexit/atexit table R6019 - unable to open console device R6018 - unexpected heap error R6017 - unexpected multithread lock error R6016 - not enough space for thread data This application has requested the Runtime to terminate it in an unusual way. Please contact the application's support team for more information. R6009 - not enough space for environment R6008 - not enough space for arguments R6002 - floating point not loaded Microsoft Visual C++ Runtime Library Runtime Error! Program: ... RREEE50P (8PX700WP `h````ppxxxx(null)(null)^[_ IqI`B `BYnYnatanceilfloormodfexp2exp10log2powloglog10expbb h(((( H   !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~fgj(o,olopozzInitializeCriticalSectionAndSpinCountkernel32.dll}}/GetProcessWindowStationGetUserObjectInformationAGetLastActivePopupGetActiveWindowMessageBoxAuser32.dll ((((( H h(((( H H_nextafter_logb_yn_y1_y0frexpfmod_hypot_cabsldexpfabstancossinsqrtatan2acosasintanhcoshsinhY]HH:mm:ssdddd, MMMM dd, yyyyMM/dd/yyPMAMDecemberNovemberOctoberSeptemberAugustJulyJuneAprilMarchFebruaryJanuaryDecNovOctSepAugJulJunMayAprMarFebJanSaturdayFridayThursdayWednesdayTuesdayMondaySundaySatFriThuWedTueMonSun̞ա١ҟ֟1#QNAN1#INF1#IND1#SNANProgram: A buffer overrun has been detected which has corrupted the program's internal state. The program cannot safely continue execution and must now be terminated. Buffer overrun detected!A security error of unknown cause has been detected which has corrupted the program's internal state. The program cannot safely continue execution and must now be terminated. Unknown security failure detected!SunMonTueWedThuFriSatJanFebMarAprMayJunJulAugSepOctNovDec(Ҽt @Ӿl+p`2elf+NQ8lhh+' A A  A8A<T8Ad\AtAtA A AA,DAPAtA\AAA  @ l  08 P 0p T x    (  d[@HPu    L08@HP xp    H |    < x0 PX`hv   < p (0 P px   h     08@ ! 8!`hpx \! !08@ " 8"0;FjQu |" " "  # D# h# #  #5 #%%,l$&%&$&(%%%%%%**&8&D&P&\&t&&&&&&&&'',':'J'Z'h'|''''''''''(8(F(X(f(((((((),)<)F)R)^)n))))))))) **6*F*\*v***&XLCall32.dlllstrlenAReadFile)SleepDGetExitCodeProcess\CreateProcessA[CreatePipeKERNEL32.dllwsprintfAUSER32.dllHeapReAllocHeapAllocHeapFreeRtlUnwindEnterCriticalSection-LeaveCriticalSection2GetCurrentThreadId9TlsSetValueGetCommandLineAGetVersionExAGetProcAddressgGetModuleHandleAvDeleteCriticalSectionHeapDestroyHeapCreateXVirtualFreeUVirtualAllocIsBadWritePtrExitProcess1TerminateProcess/GetCurrentProcessHeapSize7TlsFreeSetLastError8TlsGetValueZGetLastError6TlsAllocvWriteFileGetStdHandleeGetModuleFileNameAFlushFileBuffersSetHandleCountPGetFileTypeGetStartupInfoA,CloseHandleFreeEnvironmentStringsA?GetEnvironmentStringsFreeEnvironmentStringsWiWideCharToMultiByteAGetEnvironmentStringsWInitializeCriticalSectionSetUnhandledExceptionFilterIsBadReadPtrIsBadCodePtrGetACP|GetOEMCPGetCPInfo.LoadLibraryASetFilePointer SetStdHandleRaiseExceptionGetStringTypeAQMultiByteToWideCharGetStringTypeW]GetLocaleInfoAJCreateFileA LCMapStringA!LCMapStringW~QueryPerformanceCounterGetTickCount0GetCurrentProcessIdGetSystemTimeAsFileTime[VirtualProtectGetSystemInfo]VirtualQuerySetEndOfFile<Z,%%*|+, 0 `PPP0@0p@0```d,i,o,w,|,,,,,,,,,,,,,,,,,,----'-5-;-D-R-]-b-q-v-|--  !"#$ZMath.dllZAddZDLogZDigitsZDivZFactorZFracZGCDZInvModZJacobiZKAdicZKRootModZKthRootZLogZModZMulZNextPrimeZOrderZPalindromeZPellSolveZPhiZPowZPowModZPrevPrimeZProbPrimeZRSAZReverseZSmallDivisorZSqrtZSqrtModZSquareExtrapZSquareFitZSubZSuperPowerModZVerZXGCDxlAutoClosexlAutoOpen$0VP`p 0@P`p19 -b8b~ u~FFb, KşVpㆤPorAq#xwR|[?uCDp usN ``V@0{0{0{0{0{0{~WI  l@pHx8y(z   e?C< (<6CC        ! 5A CPR S WY l m pr   )    .5 @ N@ x `y!@~ڣ @ڣ AϢ[@~QQ^ _j21~ &    0(!       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