Ygthkb

Quickly creating a sparse array

What are the exceptions to Natural Selection?

Using only 1s, make 29 with the minimum number of digits

Words and Words with "ver-" Prefix

What sets the resolution of an analog resistive sensor?

Dilemma of explaining to interviewer that he is the reason for declining second interview

Why do neural networks need so many training examples to perform?

Numbers with a minus sign in a matrix not aligned with the numbers without minus sign

How can I play a serial killer in a party of good PCs?

What to look for when criticizing poetry?

How old is the day of 24 equal hours?

Is boss over stepping boundary/micromanaging?

Is using an 'empty' metaphor considered bad style?

Why did the villain in the first Men in Black movie care about Earth's Cockroaches?

Why is Agricola named as such?

How do you funnel food off a cutting board?

How to deal with an incendiary email that was recalled

Is there a Linux system call to create a “view” of a range of a file?

Why don't hotels mount air conditioning units outside the rooms?

Why did Democrats in the Senate oppose the Born-Alive Abortion Survivors Protection Act (2019 S.130)?

Cat is tipping over bed-side lamps during the night

What would the chemical name be for C13H8Cl3NO

Aligning symbols underneath each other neatly

What would be the rarity of this magic item(s)?

Using only 1s, make 29 with the minimum number of digits

Making π from 1 2 3 4 5 6 7 8 9Express the number $2015$ using only the digit $2$ twiceHow many consecutive positive integers can you make using exactly four instances of the digit '4'?Make numbers 1 - 32 using the digits 2, 0, 1, 7Most consecutive positive integers using two 1sMake numbers 1-31 with 1,9,7,8Make numbers 1 - 30 using the digits 2, 0, 1, 8Make numbers 93 using the digits 2, 0, 1, 8Make numbers 33-100 using only digits 2,0,1,8Make numbers 1-30 using 2, 0, 1, 9

1

$begingroup$

Operations permitted:

• Standard operations: +, −, ×, ÷


• Negation: −


• Exponentiation of two numbers: x^y


• Square root of a number: √


• Factorial: !


• Concatenation of the original digits: dd

mathematics calculation-puzzle formation-of-numbers

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

1

$begingroup$

Operations permitted:

• Standard operations: +, −, ×, ÷


• Negation: −


• Exponentiation of two numbers: x^y


• Square root of a number: √


• Factorial: !


• Concatenation of the original digits: dd

mathematics calculation-puzzle formation-of-numbers

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

Operations permitted:

• Standard operations: +, −, ×, ÷


• Negation: −


• Exponentiation of two numbers: x^y


• Square root of a number: √


• Factorial: !


• Concatenation of the original digits: dd

mathematics calculation-puzzle formation-of-numbers

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|improve this question

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 1 hour ago

Allan CaoAllan Cao

1063

New contributor

Allan Cao is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked 1 hour ago

Allan CaoAllan Cao

1063

2 Answers
2

active

oldest

votes

4

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 46 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is the minimum I achieved by referencing the Single Digit Representations of Natural Numbers paper. Hopefully 6 is possible.
  $endgroup$
  – Allan Cao
  35 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Do you mean that allowing concatenations should reduce it from 7 to 6? Or are the constraints the same in the paper you cite as in the question above?
  $endgroup$
  – Dr Xorile
  33 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The paper uses different rules.
  $endgroup$
  – Allan Cao
  22 mins ago
  

  
  
  
  

add a comment | 

2

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 56 mins ago

simonzacksimonzack

267110

$endgroup$

add a comment | 

Your Answer

StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "559"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});

Allan Cao is a new contributor. Be nice, and check out our Code of Conduct.

draft saved

draft discarded

Sign up or log in

StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});

Sign up using Google

Sign up using Facebook

Sign up using Email and Password

Post as a guest

Name

Email

Required, but never shown

StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f80050%2fusing-only-1s-make-29-with-the-minimum-number-of-digits%23new-answer', 'question_page');
}
);

Post as a guest

Name

Email

Required, but never shown

4

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 46 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is the minimum I achieved by referencing the Single Digit Representations of Natural Numbers paper. Hopefully 6 is possible.
  $endgroup$
  – Allan Cao
  35 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Do you mean that allowing concatenations should reduce it from 7 to 6? Or are the constraints the same in the paper you cite as in the question above?
  $endgroup$
  – Dr Xorile
  33 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The paper uses different rules.
  $endgroup$
  – Allan Cao
  22 mins ago
  

  
  
  
  

add a comment | 

4

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 46 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  That is the minimum I achieved by referencing the Single Digit Representations of Natural Numbers paper. Hopefully 6 is possible.
  $endgroup$
  – Allan Cao
  35 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Do you mean that allowing concatenations should reduce it from 7 to 6? Or are the constraints the same in the paper you cite as in the question above?
  $endgroup$
  – Dr Xorile
  33 mins ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  The paper uses different rules.
  $endgroup$
  – Allan Cao
  22 mins ago
  

  
  
  
  

add a comment | 

$begingroup$

Here's a 7 digits solution:

7 digits: (11-1)x(1+1+1)-1

share|improve this answer

answered 46 mins ago

Dr XorileDr Xorile

12.9k22569

$endgroup$

share|improve this answer

answered 46 mins ago

Dr XorileDr Xorile

12.9k22569

answered 46 mins ago

Dr XorileDr Xorile

12.9k22569

answered 46 mins ago

Dr XorileDr Xorile

12.9k22569

2

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 56 mins ago

simonzacksimonzack

267110

$endgroup$

add a comment | 

2

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 56 mins ago

simonzacksimonzack

267110

$endgroup$

add a comment | 

$begingroup$

Lowest I managed so far is 9 digits:

(1 + 1 + 1 + 1)! + 1 + 1 + 1 + 1 + 1

11*(1 + 1 + 1) - (1 + 1 + 1 + 1)

Some other ways I came up with:

(1 + 1)^(1 + 1 + 1 + 1 + 1) - 1 - 1 - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)!/(1 + 1 + 1 + 1) - 1 (10 digits)

(1 + 1 + 1 + 1 + 1)^(1 + 1) + 1 + 1 + 1 + 1 (11 digits)

11*(1 + 1) + 1 + 1 + 1 + 1 + 1 + 1 + 1 (11 digits)

share|improve this answer

edited 47 mins ago

answered 56 mins ago

simonzacksimonzack

267110

$endgroup$

share|improve this answer

edited 47 mins ago

answered 56 mins ago

simonzacksimonzack

267110

answered 56 mins ago

simonzacksimonzack

267110

answered 56 mins ago

simonzacksimonzack

267110