Youtube hearted comments of zenith parsec (@zenithparsec).

  1. Some day historians may ask similar questions about the International House of Pancakes.
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  2. The version of the t-shirt in the zazzle link you gave in the description is bad. it ruins the joke completely by not using the custom font Y. So where did you REALLY get the t-shirt? Please let us support artists who actually understand what they are putting on the shirts.
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  3. Please give a pause so I don't have to run up and press pause to spot the pattern. Some of us are in the middle of winter sitting wrapped in blankets, so it can take a few seconds to get up. But I got it before continuing in a minute or so. (difference between the two columns is one less than two up.
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  4. "Can you write the numbers 2 and 3 as sums of distinct positive integers?" It really depends on what you mean by 'write'... For 3, [edit] 1/1+ 1/2+ 1/3+ 1/4+ 1/5+ 1/6+ 1/7+ 1/8+ 1/9+ 1/10+ 1/15+ 1/230+ 1/57960 The sum of the reciprocal of all powers of 2 of positive integers sums to 2.... 1/1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 + 1/1024 + 1/2048 + 1/4096 + 1/8192 + 1/16384 + 1/32768 + 1/65536 + 1/131072 + 1/262144 + 1/524288 + 1/1048576 + 1/2097152 + 1/4194304 + 1/8388608 + 1/16777216 + 1/33554432 + 1/67108864 + 1/134217728 + 1/268435456 + 1/536870912 + 1/1073741824 + 1/2147483648 + 1/4294967296 + 1/8589934592 + 1/17179869184 + 1/34359738368 + 1/68719476736 + 1/137438953472 + 1/274877906944 + 1/549755813888 + 1/1099511627776 + 1/2199023255552 + 1/4398046511104 + 1/8796093022208 + 1/17592186044416 + 1/35184372088832 + 1/70368744177664 + 1/140737488355328 + 1/281474976710656 + 1/562949953421312 + 1/1125899906842624 + 1/2251799813685248 + 1/4503599627370496 + 1/9007199254740992 + 1/18014398509481984 + 1/36028797018963968 + 1/72057594037927936 + 1/144115188075855872 + 1/288230376151711744 + 1/576460752303423488 + 1/1152921504606846976 + 1/2305843009213693952 + 1/4611686018427387904 + 1/9223372036854775808 + 1/18446744073709551616 + 1/36893488147419103232 + 1/73786976294838206464 + 1/147573952589676412928 + 1/295147905179352825856 + 1/590295810358705651712 + 1/1180591620717411303424 + 1/2361183241434822606848 + 1/4722366482869645213696 + 1/9444732965739290427392 + 1/18889465931478580854784 + 1/37778931862957161709568 + 1/75557863725914323419136 + 1/151115727451828646838272 + 1/302231454903657293676544 + 1/604462909807314587353088 + 1/1208925819614629174706176 + 1/2417851639229258349412352 + 1/4835703278458516698824704 + 1/9671406556917033397649408 + 1/19342813113834066795298816 + 1/38685626227668133590597632 + 1/77371252455336267181195264 + 1/154742504910672534362390528 + 1/309485009821345068724781056 + 1/618970019642690137449562112 + um... I'm going to run out of space, aren't I? now @ 31:52 ... So it looks like I wasn't cheating. and trivial way to represent so here's 4: 1/1 + 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 + 1/9 + 1/10 + 1/11 + 1/12 + 1/13 + 1/14 + 1/15 + 1/16 + 1/17 + 1/18 + 1/19 + 1/20 + 1/21 + 1/22 + 1/23 + 1/24 + 1/25 + 1/26 + 1/27 + 1/28 + 1/29 + 1/30 + 1/200 + 1/77706 + 1/16532869712 + 1/3230579689970657935732 + 1/36802906522516375115639735990520502954652700 + 1/1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001 (Replace each ! in that with 1000 zeros, and you get an answer which is accurate to 112120 digits. (Today is 11/21/20, which is why i used that number.) the 'bc' code to get that answer: ms=112120; scale=ms; s=0; for(i = 1; s < 4-(1/10^(scale )); ) { r=1/i; i=i+1; if(s+r < 4) { s=s+r; print "1/",i-1 ," + "; if(s < 4 && s > 4- (1/i) ) { scale=0; i = 1/(4-s); scale=ms; }; }; }; print "\n";
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