SN 874: Passkeys, Take 2

Beep boop - this is a robot. A new show has been posted to TWiT…

What are your thoughts about today’s show? We’d love to hear from you!

Steve should have watched the Apple session on passkeys. They show how they can be used on other OSs as well as share them.

WRT to @Leo wanting to convert the number to a name:

Many moons ago I wrote a program to translate large numbers into their Conway-Wechsler format. The number Steve had in the notes (for 768 bit keys) is:

1.552 Seseptuagintillion

or fully spelled out:

1 Seseptuagintillion
552 Quinseptuagintillion
518 Quattuorseptuagintillion
92 Treseptuagintillion
300 Duoseptuagintillion
708 Unseptuagintillion
935 Septuagintillion
148 Novensexagintillion
979 Octosexagintillion
488 Septensexagintillion
462 Sesexagintillion
502 Quinsexagintillion
555 Quattuorsexagintillion
256 Tresexagintillion
886 Duosexagintillion
17 Unsexagintillion
116 Sexagintillion
696 Novenquinquagintillion
611 Octoquinquagintillion
139 Septenquinquagintillion
52 Sesquinquagintillion
38 Quinquinquagintillion
26 Quattuorquinquagintillion
50 Tresquinquagintillion
952 Duoquinquagintillion
686 Unquinquagintillion
376 Quinquagintillion
886 Novenquadragintillion
330 Octoquadragintillion
878 Septenquadragintillion
408 Sesquadragintillion
828 Quinquadragintillion
646 Quattuorquadragintillion
477 Tresquadragintillion
950 Duoquadragintillion
487 Unquadragintillion
730 Quadragintillion
697 Noventrigintillion
131 Octotrigintillion
73 Septentrigintillion
206 Sestrigintillion
171 Quintrigintillion
580 Quattuortrigintillion
44 Trestrigintillion
114 Duotrigintillion
814 Untrigintillion
391 Trigintillion
444 Novemvigintillion
287 Octovigintillion
275 Septemvigintillion
41 Sesvigintillion
181 Quinvigintillion
139 Quattuorvigintillion
204 Tresvigintillion
454 Duovigintillion
976 Unvigintillion
20 Vigintillion
849 Novendecillion
905 Octodecillion
550 Septendecillion
265 Sedecillion
285 Quinquadecillion
631 Quattuordecillion
598 Tredecillion
444 Duodecillion
825 Undecillion
262 Decillion
999 Nonillion
193 Octillion
716 Septillion
468 Sextillion
750 Quintillion
892 Quadrillion
846 Trillion
853 Billion
816 Million
57 Thousand
856

see here Large Numbers at MROB

In summary, you calculate the number of 1000's in the number and then use that number minus one to convert the prefix. The prefix changes from right to left. So its ones place name concatenated to tens place name concatenated to 100 place name. So Seseptuagintillion is ses (six) ones and sept (seven) tens of gintillions (multiples of 1000.) So the number has n=76+1 multiples of 1000 or 1000^77 at the largest position. (The whole n-1 thing is a bit of weirdness, I think I remember it right. One very large number that shows how this ends up working out is 10^3003, which is 1 millinillion, which shows how there are 3 extra zeros (1000) more in the number than in the name.)

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Awesome!! Java to the rescue once again. I was thinking of writing this as a finger exercise today, myself.

There are websites that will do this, too, as many chatters reminded me!

The real challenge would be to read it out loud!!