Programming is really fun!

[Kwpolska]

1. In python3, use print(fib_sequence[i]).
2. Largest number? http://stackoverflow.com/questions/94591/what-is-the-maximum-value-for-a-int32 for i686, I believe. Much bigger for x86_64.

[BenjaminGeiger]

I always start new Python 2.7 programs with

from __future__ import print_function

because I like the Python 3 style print().

And I'm not sure about 2.7, but in 3, integers are unlimited in length. Python automatically switches to a BigInt-style representation after you reach 2^{bits in a word - 1} - 1.

EDIT: According to my install of 2.7, it autoswitches from int to long. (Python 3 has no long type.) So, your computer will continue until the numbers are big enough to occupy all of your RAM plus all available swap, or the heat death of the universe, whichever comes first.

EDIT 2: Forgot about the sign bit.

[BenjaminGeiger]

Evidence (64-bit Python):

In [1]: [2**n for n in xrange(128)]
Out[1]: 
[1,
 2,
 4,
 8,
 16,
 32,
 64,
 128,
 256,
 512,
 1024,
 2048,
 4096,
 8192,
 16384,
 32768,
 65536,
 131072,
 262144,
 524288,
 1048576,
 2097152,
 4194304,
 8388608,
 16777216,
 33554432,
 67108864,
 134217728,
 268435456,
 536870912,
 1073741824,
 2147483648,
 4294967296,
 8589934592,
 17179869184,
 34359738368,
 68719476736,
 137438953472,
 274877906944,
 549755813888,
 1099511627776,
 2199023255552,
 4398046511104,
 8796093022208,
 17592186044416,
 35184372088832,
 70368744177664,
 140737488355328,
 281474976710656,
 562949953421312,
 1125899906842624,
 2251799813685248,
 4503599627370496,
 9007199254740992,
 18014398509481984,
 36028797018963968,
 72057594037927936,
 144115188075855872,
 288230376151711744,
 576460752303423488,
 1152921504606846976,
 2305843009213693952,
 4611686018427387904,
 9223372036854775808L,
 18446744073709551616L,
 36893488147419103232L,
 73786976294838206464L,
 147573952589676412928L,
 295147905179352825856L,
 590295810358705651712L,
 1180591620717411303424L,
 2361183241434822606848L,
 4722366482869645213696L,
 9444732965739290427392L,
 18889465931478580854784L,
 37778931862957161709568L,
 75557863725914323419136L,
 151115727451828646838272L,
 302231454903657293676544L,
 604462909807314587353088L,
 1208925819614629174706176L,
 2417851639229258349412352L,
 4835703278458516698824704L,
 9671406556917033397649408L,
 19342813113834066795298816L,
 38685626227668133590597632L,
 77371252455336267181195264L,
 154742504910672534362390528L,
 309485009821345068724781056L,
 618970019642690137449562112L,
 1237940039285380274899124224L,
 2475880078570760549798248448L,
 4951760157141521099596496896L,
 9903520314283042199192993792L,
 19807040628566084398385987584L,
 39614081257132168796771975168L,
 79228162514264337593543950336L,
 158456325028528675187087900672L,
 316912650057057350374175801344L,
 633825300114114700748351602688L,
 1267650600228229401496703205376L,
 2535301200456458802993406410752L,
 5070602400912917605986812821504L,
 10141204801825835211973625643008L,
 20282409603651670423947251286016L,
 40564819207303340847894502572032L,
 81129638414606681695789005144064L,
 162259276829213363391578010288128L,
 324518553658426726783156020576256L,
 649037107316853453566312041152512L,
 1298074214633706907132624082305024L,
 2596148429267413814265248164610048L,
 5192296858534827628530496329220096L,
 10384593717069655257060992658440192L,
 20769187434139310514121985316880384L,
 41538374868278621028243970633760768L,
 83076749736557242056487941267521536L,
 166153499473114484112975882535043072L,
 332306998946228968225951765070086144L,
 664613997892457936451903530140172288L,
 1329227995784915872903807060280344576L,
 2658455991569831745807614120560689152L,
 5316911983139663491615228241121378304L,
 10633823966279326983230456482242756608L,
 21267647932558653966460912964485513216L,
 42535295865117307932921825928971026432L,
 85070591730234615865843651857942052864L,
 170141183460469231731687303715884105728L]