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January 25 Information
What is the highest number with all permutations of its digits being prime?
Other bases have permutable primes with more permutations. I quick calculation found the 8-digit base 494 number with a 445 followed by seven 297's. This has 8 permutations, all prime. In decimal it's 3199161737666234740307.
PrimeHunter (
talk)
03:25, 25 January 2017 (UTC)reply
Lol. Imagine a culture with base-5093. "The number atlatl monkey monkey monkey monkey monkey monkey monkey is the first cat-digit permutable prime. It is conjectured that there are no house-digit permutable primes below base-spark plug."...
Sagittarian Milky Way (
talk)
19:06, 25 January 2017 (UTC)reply
I'm not sure this is even imaginable. How would they learn to add and multiply, without breaking down the numbers into sub-bases like the Sumerians did with their base-60? Still, digits to base-360 have indeed been invented (
link) by an architect (
Michael de Vlieger), and with the principles described you could conceivably go on until 653, where you run out of chemical elements to give the glyphs for the primes.
Double sharp (
talk)
04:47, 28 January 2017 (UTC)reply
I want to find if a
game has a
Mixed Strategy Nash Equilibrium quickly in Excel. q is the probability of playing strategy a, 1-q is the probability of playing strategy b. e, j, g, and m are the payoffs of strategies c and d. It makes sense that this could "just" be a linear equation, but I want to be able to do the algebra by hand, but I'm not getting it.
Schyler(
exquirere bonum ipsum)22:19, 25 January 2017 (UTC)reply
I'm thinking if that didn't come to him on its own, the "coefficient of q" might be confusing. So I should say explicitly that to me the above means .
Wnt (
talk)
00:59, 26 January 2017 (UTC)reply
Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is a
transcluded archive page. While you can leave answers for any questions shown below, please ask new questions on one of the
current reference desk pages.
January 25 Information
What is the highest number with all permutations of its digits being prime?
Other bases have permutable primes with more permutations. I quick calculation found the 8-digit base 494 number with a 445 followed by seven 297's. This has 8 permutations, all prime. In decimal it's 3199161737666234740307.
PrimeHunter (
talk)
03:25, 25 January 2017 (UTC)reply
Lol. Imagine a culture with base-5093. "The number atlatl monkey monkey monkey monkey monkey monkey monkey is the first cat-digit permutable prime. It is conjectured that there are no house-digit permutable primes below base-spark plug."...
Sagittarian Milky Way (
talk)
19:06, 25 January 2017 (UTC)reply
I'm not sure this is even imaginable. How would they learn to add and multiply, without breaking down the numbers into sub-bases like the Sumerians did with their base-60? Still, digits to base-360 have indeed been invented (
link) by an architect (
Michael de Vlieger), and with the principles described you could conceivably go on until 653, where you run out of chemical elements to give the glyphs for the primes.
Double sharp (
talk)
04:47, 28 January 2017 (UTC)reply
I want to find if a
game has a
Mixed Strategy Nash Equilibrium quickly in Excel. q is the probability of playing strategy a, 1-q is the probability of playing strategy b. e, j, g, and m are the payoffs of strategies c and d. It makes sense that this could "just" be a linear equation, but I want to be able to do the algebra by hand, but I'm not getting it.
Schyler(
exquirere bonum ipsum)22:19, 25 January 2017 (UTC)reply
I'm thinking if that didn't come to him on its own, the "coefficient of q" might be confusing. So I should say explicitly that to me the above means .
Wnt (
talk)
00:59, 26 January 2017 (UTC)reply