? 2+3
%1 = 5
? factor(2727727271717171717171717727273883393939393)
%2 = 
[                            491 1]

[                           7753 1]

[                         186041 1]

[3851598460485572359677805325251 1]

? factor(27)
%3 = 
[3 3]

? 105%7
%4 = 0
? Mod(105,7)
%5 = Mod(0, 7)
? Mod(100000000,101)
%6 = Mod(1, 101)
? Mod(1000000020,101)
%7 = Mod(30, 101)
? Mod(1000000020,101)^2
%8 = Mod(92, 101)
? %7^2
%9 = Mod(92, 101)
? %7^5
%10 = Mod(6, 101)
? a=%9
%11 = Mod(92, 101)
? b=%7
%12 = Mod(30, 101)
? a+b
%13 = Mod(21, 101)
? a+b^3
%14 = Mod(24, 101)
? a^1000000000000000000000000000000000000
  *** _^_: Warning: Mod(a,b)^n with n >> b : wasteful.
%15 = Mod(1, 101)
? Mod(2,1010100101010010101010010101010101)^923929299292929292
%16 = Mod(637039225939229545751688663340168, 1010100101010010101010010101010101)
? for(n=1,100,if(Mod(2,101)^n==Mod(1,101),print(n)))
100
? for(n=1,100,if(Mod(3,101)^n==Mod(1,101),print(n)))
100
? for(n=1,100,if(Mod(5,101)^n==Mod(1,101),print(n)))
25
50
75
100
? for(n=1,100,if(Mod(5,101)^n==Mod(1,101),print(n);break))
25
? for(n=1,100,if(Mod(5,101)^n==Mod(1,101),print(n);break,print("oops")))
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
oops
25
? ?fordiv
fordiv(n,X,seq): the sequence is evaluated, X running over the divisors of 
n.

? fordiv(100,n,if(Mod(5,101)^n==Mod(1,101),print(n))
  ***   syntax error, unexpected $end, expecting )-> or ',' or ')': 
  ***   ...1)^n==Mod(1,101),print(n))
  ***                               ^-
? fordiv(100,n,if(Mod(5,101)^n==Mod(1,101),print(n)))
25
50
100
? fordiv(100,n,if(Mod(5,101)^n==Mod(1,101),print(n);break))
25
? znorder(Mod(5,101))
%24 = 25
? ?znorder
znorder(x,{o}): order of the integermod x in (Z/nZ)*. Optional o represents 
a multiple of the order of the element.

? for(n=20,100,if(znorder(Mod(n,101))==100,print(n);break))
26
? znprimroot(101)
%26 = Mod(2, 101)
? ?
Help topics: for a list of relevant subtopics, type ?n for n in
  0: user-defined functions (aliases, installed and user functions)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help (if available):
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial / refcard / libpari (tutorial/reference card/libpari manual)
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  ??? keyword    (a propos: list of related functions).
? ?4

addprimes     bestappr      bestapprPade  bezout        bigomega
binomial      chinese       content       contfrac      contfracpnqn
core          coredisc      dirdiv        direuler      dirmul
divisors      eulerphi      factor        factorback    factorcantor
factorff      factorial     factorint     factormod     ffgen
ffinit        fflog         ffnbirred     fforder       ffprimroot
fibonacci     gcd           gcdext        hilbert       isfundamental
ispolygonal   ispower       ispowerful    isprime       isprimepower
ispseudoprime issquare      issquarefree  istotient     kronecker
lcm           logint        moebius       nextprime     numbpart
numdiv        omega         partitions    polrootsff    precprime
prime         primepi       primes        qfbclassno    qfbcompraw
qfbhclassno   qfbnucomp     qfbnupow      qfbpowraw     qfbprimeform
qfbred        qfbsolve      quadclassunit quaddisc      quadgen
quadhilbert   quadpoly      quadray       quadregulator quadunit
randomprime   removeprimes  sigma         sqrtint       sqrtnint
stirling      sumdedekind   sumdigits     zncoppersmith znlog
znorder       znprimroot    znstar        

? gcd(10298289281273872872328,17837328783728787287282873)
%27 = 1
? gcd(10298289281273872872328,17837328783728787287282872)
%28 = 8
? bezout(10298289281273872872328,17837328783728787287282872)
%29 = [609294442679515732492050, -351772987102753193911, 8]
? v=%29
%30 = [609294442679515732492050, -351772987102753193911, 8]
? w=[10298289281273872872328,17837328783728787287282872]
%31 = [10298289281273872872328, 17837328783728787287282872]
? v[1]*w[1]+v[2]*w[2]
%32 = 8
? v[1]*w[1]+v[2]*w[2]==v[3]
%33 = 1
? v[1]*w[1]+v[2]*w[2]==7
%34 = 0
? ?
Help topics: for a list of relevant subtopics, type ?n for n in
  0: user-defined functions (aliases, installed and user functions)
  1: Standard monadic or dyadic OPERATORS
  2: CONVERSIONS and similar elementary functions
  3: TRANSCENDENTAL functions
  4: NUMBER THEORETICAL functions
  5: Functions related to ELLIPTIC CURVES
  6: Functions related to general NUMBER FIELDS
  7: POLYNOMIALS and power series
  8: Vectors, matrices, LINEAR ALGEBRA and sets
  9: SUMS, products, integrals and similar functions
 10: GRAPHIC functions
 11: PROGRAMMING under GP
 12: The PARI community

Also:
  ? functionname (short on-line help)
  ?\             (keyboard shortcuts)
  ?.             (member functions)
Extended help (if available):
  ??             (opens the full user's manual in a dvi previewer)
  ??  tutorial / refcard / libpari (tutorial/reference card/libpari manual)
  ??  keyword    (long help text about "keyword" from the user's manual)
  ??? keyword    (a propos: list of related functions).
? #
   timer = 1 (on)
? bezout(10298289281273872872328,17837328783728787287282872)
%35 = [609294442679515732492050, -351772987102753193911, 8]
? #
   timer = 0 (off)
? myfunction(n)=n^2
%36 = (n)->n^2
? myfunction(9)
%37 = 81
? \q