How to finds primes $p$ with the property that both $10p^2+9$ and $8p^2-9$ are also primes using Wolfram...












1












$begingroup$


I want to know the number of primes $p$ that satisfies the condition that



$10p^2 + 9$



and



$8p^2 - 9$



are both primes, for primes $p$ only.



How can I do it using Wolfram Alpha (or any other online math software)?






polynomials prime-numbers wolfram-alpha







share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    There is a separate site for Mathematica, but if you want to ask about any other maths software (such as Maple), this is the right place.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 2:25










  • $begingroup$
    There probably are an infinite number of primes that satisfy this...
    $endgroup$
    – Don Thousand
    Aug 18 '18 at 2:30
















1












$begingroup$


I want to know the number of primes $p$ that satisfies the condition that



$10p^2 + 9$



and



$8p^2 - 9$



are both primes, for primes $p$ only.



How can I do it using Wolfram Alpha (or any other online math software)?






polynomials prime-numbers wolfram-alpha







share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    There is a separate site for Mathematica, but if you want to ask about any other maths software (such as Maple), this is the right place.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 2:25










  • $begingroup$
    There probably are an infinite number of primes that satisfy this...
    $endgroup$
    – Don Thousand
    Aug 18 '18 at 2:30














1












1








1





$begingroup$


I want to know the number of primes $p$ that satisfies the condition that



$10p^2 + 9$



and



$8p^2 - 9$



are both primes, for primes $p$ only.



How can I do it using Wolfram Alpha (or any other online math software)?






polynomials prime-numbers wolfram-alpha







share|cite|improve this question











$endgroup$




I want to know the number of primes $p$ that satisfies the condition that



$10p^2 + 9$



and



$8p^2 - 9$



are both primes, for primes $p$ only.



How can I do it using Wolfram Alpha (or any other online math software)?






polynomials prime-numbers wolfram-alpha




polynomials prime-numbers wolfram-alpha






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Aug 18 '18 at 7:34









Asaf Karagila♦

308k33441774




308k33441774










asked Aug 18 '18 at 2:19









John FinkelsteinJohn Finkelstein

656




656








  • 1




    $begingroup$
    There is a separate site for Mathematica, but if you want to ask about any other maths software (such as Maple), this is the right place.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 2:25










  • $begingroup$
    There probably are an infinite number of primes that satisfy this...
    $endgroup$
    – Don Thousand
    Aug 18 '18 at 2:30














  • 1




    $begingroup$
    There is a separate site for Mathematica, but if you want to ask about any other maths software (such as Maple), this is the right place.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 2:25










  • $begingroup$
    There probably are an infinite number of primes that satisfy this...
    $endgroup$
    – Don Thousand
    Aug 18 '18 at 2:30








1




1




$begingroup$
There is a separate site for Mathematica, but if you want to ask about any other maths software (such as Maple), this is the right place.
$endgroup$
– Toby Mak
Aug 18 '18 at 2:25




$begingroup$
There is a separate site for Mathematica, but if you want to ask about any other maths software (such as Maple), this is the right place.
$endgroup$
– Toby Mak
Aug 18 '18 at 2:25












$begingroup$
There probably are an infinite number of primes that satisfy this...
$endgroup$
– Don Thousand
Aug 18 '18 at 2:30




$begingroup$
There probably are an infinite number of primes that satisfy this...
$endgroup$
– Don Thousand
Aug 18 '18 at 2:30










3 Answers
3






active

oldest

votes


















5












$begingroup$

Using Wolfram Alpha/Mathematica, this is what I have so far:



10 * Prime[n]^2 + 9


calculates your expression for the $n$th prime.



PrimeQ[ 10 * Prime[n]^2 + 9 ]


checks if that expression is prime.



Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n,20} ]


makes a table of if that expression is prime or not from $1$ to $20$.



I tried:



Count [ Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n, 20} ], True ]


to count how many 'True's there were from $1$ to $20$.



This works on Wolfram Cloud.






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Unquote True, it's a built-in symbol.
    $endgroup$
    – Robert Soupe
    Aug 18 '18 at 5:12










  • $begingroup$
    @RobertSoupe Wolfram Alpha still doesn't give an answer.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 9:17










  • $begingroup$
    Oh, yeah, sorry, I should have directed you to sandbox.open.wolframcloud.com instead.
    $endgroup$
    – Robert Soupe
    Aug 19 '18 at 3:03



















2












$begingroup$

If you want to know how many such primes there are total, you're going to have to apply some good old fashioned human mathematical reasoning. Sometimes it's easy, sometimes it's hard.



e.g., how many primes consist of all 9s? That's easy, none in base 10. How many primes are of the form $2^p - 1$? That's hard. At least forty, but maybe not too many more than that.



But if you just want to know how many such of a given form there are in a reasonably small finite range, like, say, 1 to $10^{20}$, you can use Wolfram Alpha.



Many ways to skin a cat, Toby Mak has shown you a couple. Here's how I'd do it: first,



Select[10Prime[Range[100]]^2 + 9, PrimeQ]



Oops, I forgot you need to be a little more explicit in Wolfram Alpha:



Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]



First one should be 499, last one 2714419. Wrap that in Length like so:



Length[Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]]



In Wolfram Mathematica you can also do Length[%], which I read in my mind as "length of previous."



Answer is 21. Meaning that among the first hundred primes $p$, 21 of them are such that $10p^2 + 9$ is also prime.



You can push Wolfram Alpha a little higher than that, but not as high as you can push Wolfram Mathematica. Unless maybe you have a paid Wolfram Alpha subscription.



EDIT: Yong Hao Ng correctly points out that the asker wants $10p^2 + 9$ and $8p^2 - 9$. And also that that can be easily accommodated with an AND, e.g., Length[Select[Prime[Range[100]], PrimeQ[10#^2 + 9] && PrimeQ[8#^2 - 9] &]].






share|cite|improve this answer











$endgroup$









  • 1




    $begingroup$
    A remark that for both conditions one could do Length[Select[Prime[Range[100]], PrimeQ[10#^2+9]&&PrimeQ[8#^2-9]&]]
    $endgroup$
    – Yong Hao Ng
    Aug 18 '18 at 7:55



















0












$begingroup$

The answer to this question is no prime number can be formed satisfying your property because prime's can't be denoted in the subtraction of one- squared quantity and other cubed quantity.



At least, 10p^2 + 9 can never be satisfied.






share|cite|improve this answer









$endgroup$









  • 2




    $begingroup$
    Could you provide more details?
    $endgroup$
    – klirk
    Dec 14 '18 at 12:00












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: "69"
};
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: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
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
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2886354%2fhow-to-finds-primes-p-with-the-property-that-both-10p29-and-8p2-9-are-a%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























3 Answers
3






active

oldest

votes








3 Answers
3






active

oldest

votes









active

oldest

votes






active

oldest

votes









5












$begingroup$

Using Wolfram Alpha/Mathematica, this is what I have so far:



10 * Prime[n]^2 + 9


calculates your expression for the $n$th prime.



PrimeQ[ 10 * Prime[n]^2 + 9 ]


checks if that expression is prime.



Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n,20} ]


makes a table of if that expression is prime or not from $1$ to $20$.



I tried:



Count [ Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n, 20} ], True ]


to count how many 'True's there were from $1$ to $20$.



This works on Wolfram Cloud.






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Unquote True, it's a built-in symbol.
    $endgroup$
    – Robert Soupe
    Aug 18 '18 at 5:12










  • $begingroup$
    @RobertSoupe Wolfram Alpha still doesn't give an answer.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 9:17










  • $begingroup$
    Oh, yeah, sorry, I should have directed you to sandbox.open.wolframcloud.com instead.
    $endgroup$
    – Robert Soupe
    Aug 19 '18 at 3:03
















5












$begingroup$

Using Wolfram Alpha/Mathematica, this is what I have so far:



10 * Prime[n]^2 + 9


calculates your expression for the $n$th prime.



PrimeQ[ 10 * Prime[n]^2 + 9 ]


checks if that expression is prime.



Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n,20} ]


makes a table of if that expression is prime or not from $1$ to $20$.



I tried:



Count [ Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n, 20} ], True ]


to count how many 'True's there were from $1$ to $20$.



This works on Wolfram Cloud.






share|cite|improve this answer











$endgroup$













  • $begingroup$
    Unquote True, it's a built-in symbol.
    $endgroup$
    – Robert Soupe
    Aug 18 '18 at 5:12










  • $begingroup$
    @RobertSoupe Wolfram Alpha still doesn't give an answer.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 9:17










  • $begingroup$
    Oh, yeah, sorry, I should have directed you to sandbox.open.wolframcloud.com instead.
    $endgroup$
    – Robert Soupe
    Aug 19 '18 at 3:03














5












5








5





$begingroup$

Using Wolfram Alpha/Mathematica, this is what I have so far:



10 * Prime[n]^2 + 9


calculates your expression for the $n$th prime.



PrimeQ[ 10 * Prime[n]^2 + 9 ]


checks if that expression is prime.



Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n,20} ]


makes a table of if that expression is prime or not from $1$ to $20$.



I tried:



Count [ Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n, 20} ], True ]


to count how many 'True's there were from $1$ to $20$.



This works on Wolfram Cloud.






share|cite|improve this answer











$endgroup$



Using Wolfram Alpha/Mathematica, this is what I have so far:



10 * Prime[n]^2 + 9


calculates your expression for the $n$th prime.



PrimeQ[ 10 * Prime[n]^2 + 9 ]


checks if that expression is prime.



Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n,20} ]


makes a table of if that expression is prime or not from $1$ to $20$.



I tried:



Count [ Table[ PrimeQ[ 10 * Prime[n]^2 + 9 ], {n, 20} ], True ]


to count how many 'True's there were from $1$ to $20$.



This works on Wolfram Cloud.







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited Aug 19 '18 at 9:43

























answered Aug 18 '18 at 2:40









Toby MakToby Mak

3,57511128




3,57511128












  • $begingroup$
    Unquote True, it's a built-in symbol.
    $endgroup$
    – Robert Soupe
    Aug 18 '18 at 5:12










  • $begingroup$
    @RobertSoupe Wolfram Alpha still doesn't give an answer.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 9:17










  • $begingroup$
    Oh, yeah, sorry, I should have directed you to sandbox.open.wolframcloud.com instead.
    $endgroup$
    – Robert Soupe
    Aug 19 '18 at 3:03


















  • $begingroup$
    Unquote True, it's a built-in symbol.
    $endgroup$
    – Robert Soupe
    Aug 18 '18 at 5:12










  • $begingroup$
    @RobertSoupe Wolfram Alpha still doesn't give an answer.
    $endgroup$
    – Toby Mak
    Aug 18 '18 at 9:17










  • $begingroup$
    Oh, yeah, sorry, I should have directed you to sandbox.open.wolframcloud.com instead.
    $endgroup$
    – Robert Soupe
    Aug 19 '18 at 3:03
















$begingroup$
Unquote True, it's a built-in symbol.
$endgroup$
– Robert Soupe
Aug 18 '18 at 5:12




$begingroup$
Unquote True, it's a built-in symbol.
$endgroup$
– Robert Soupe
Aug 18 '18 at 5:12












$begingroup$
@RobertSoupe Wolfram Alpha still doesn't give an answer.
$endgroup$
– Toby Mak
Aug 18 '18 at 9:17




$begingroup$
@RobertSoupe Wolfram Alpha still doesn't give an answer.
$endgroup$
– Toby Mak
Aug 18 '18 at 9:17












$begingroup$
Oh, yeah, sorry, I should have directed you to sandbox.open.wolframcloud.com instead.
$endgroup$
– Robert Soupe
Aug 19 '18 at 3:03




$begingroup$
Oh, yeah, sorry, I should have directed you to sandbox.open.wolframcloud.com instead.
$endgroup$
– Robert Soupe
Aug 19 '18 at 3:03











2












$begingroup$

If you want to know how many such primes there are total, you're going to have to apply some good old fashioned human mathematical reasoning. Sometimes it's easy, sometimes it's hard.



e.g., how many primes consist of all 9s? That's easy, none in base 10. How many primes are of the form $2^p - 1$? That's hard. At least forty, but maybe not too many more than that.



But if you just want to know how many such of a given form there are in a reasonably small finite range, like, say, 1 to $10^{20}$, you can use Wolfram Alpha.



Many ways to skin a cat, Toby Mak has shown you a couple. Here's how I'd do it: first,



Select[10Prime[Range[100]]^2 + 9, PrimeQ]



Oops, I forgot you need to be a little more explicit in Wolfram Alpha:



Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]



First one should be 499, last one 2714419. Wrap that in Length like so:



Length[Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]]



In Wolfram Mathematica you can also do Length[%], which I read in my mind as "length of previous."



Answer is 21. Meaning that among the first hundred primes $p$, 21 of them are such that $10p^2 + 9$ is also prime.



You can push Wolfram Alpha a little higher than that, but not as high as you can push Wolfram Mathematica. Unless maybe you have a paid Wolfram Alpha subscription.



EDIT: Yong Hao Ng correctly points out that the asker wants $10p^2 + 9$ and $8p^2 - 9$. And also that that can be easily accommodated with an AND, e.g., Length[Select[Prime[Range[100]], PrimeQ[10#^2 + 9] && PrimeQ[8#^2 - 9] &]].






share|cite|improve this answer











$endgroup$









  • 1




    $begingroup$
    A remark that for both conditions one could do Length[Select[Prime[Range[100]], PrimeQ[10#^2+9]&&PrimeQ[8#^2-9]&]]
    $endgroup$
    – Yong Hao Ng
    Aug 18 '18 at 7:55
















2












$begingroup$

If you want to know how many such primes there are total, you're going to have to apply some good old fashioned human mathematical reasoning. Sometimes it's easy, sometimes it's hard.



e.g., how many primes consist of all 9s? That's easy, none in base 10. How many primes are of the form $2^p - 1$? That's hard. At least forty, but maybe not too many more than that.



But if you just want to know how many such of a given form there are in a reasonably small finite range, like, say, 1 to $10^{20}$, you can use Wolfram Alpha.



Many ways to skin a cat, Toby Mak has shown you a couple. Here's how I'd do it: first,



Select[10Prime[Range[100]]^2 + 9, PrimeQ]



Oops, I forgot you need to be a little more explicit in Wolfram Alpha:



Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]



First one should be 499, last one 2714419. Wrap that in Length like so:



Length[Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]]



In Wolfram Mathematica you can also do Length[%], which I read in my mind as "length of previous."



Answer is 21. Meaning that among the first hundred primes $p$, 21 of them are such that $10p^2 + 9$ is also prime.



You can push Wolfram Alpha a little higher than that, but not as high as you can push Wolfram Mathematica. Unless maybe you have a paid Wolfram Alpha subscription.



EDIT: Yong Hao Ng correctly points out that the asker wants $10p^2 + 9$ and $8p^2 - 9$. And also that that can be easily accommodated with an AND, e.g., Length[Select[Prime[Range[100]], PrimeQ[10#^2 + 9] && PrimeQ[8#^2 - 9] &]].






share|cite|improve this answer











$endgroup$









  • 1




    $begingroup$
    A remark that for both conditions one could do Length[Select[Prime[Range[100]], PrimeQ[10#^2+9]&&PrimeQ[8#^2-9]&]]
    $endgroup$
    – Yong Hao Ng
    Aug 18 '18 at 7:55














2












2








2





$begingroup$

If you want to know how many such primes there are total, you're going to have to apply some good old fashioned human mathematical reasoning. Sometimes it's easy, sometimes it's hard.



e.g., how many primes consist of all 9s? That's easy, none in base 10. How many primes are of the form $2^p - 1$? That's hard. At least forty, but maybe not too many more than that.



But if you just want to know how many such of a given form there are in a reasonably small finite range, like, say, 1 to $10^{20}$, you can use Wolfram Alpha.



Many ways to skin a cat, Toby Mak has shown you a couple. Here's how I'd do it: first,



Select[10Prime[Range[100]]^2 + 9, PrimeQ]



Oops, I forgot you need to be a little more explicit in Wolfram Alpha:



Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]



First one should be 499, last one 2714419. Wrap that in Length like so:



Length[Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]]



In Wolfram Mathematica you can also do Length[%], which I read in my mind as "length of previous."



Answer is 21. Meaning that among the first hundred primes $p$, 21 of them are such that $10p^2 + 9$ is also prime.



You can push Wolfram Alpha a little higher than that, but not as high as you can push Wolfram Mathematica. Unless maybe you have a paid Wolfram Alpha subscription.



EDIT: Yong Hao Ng correctly points out that the asker wants $10p^2 + 9$ and $8p^2 - 9$. And also that that can be easily accommodated with an AND, e.g., Length[Select[Prime[Range[100]], PrimeQ[10#^2 + 9] && PrimeQ[8#^2 - 9] &]].






share|cite|improve this answer











$endgroup$



If you want to know how many such primes there are total, you're going to have to apply some good old fashioned human mathematical reasoning. Sometimes it's easy, sometimes it's hard.



e.g., how many primes consist of all 9s? That's easy, none in base 10. How many primes are of the form $2^p - 1$? That's hard. At least forty, but maybe not too many more than that.



But if you just want to know how many such of a given form there are in a reasonably small finite range, like, say, 1 to $10^{20}$, you can use Wolfram Alpha.



Many ways to skin a cat, Toby Mak has shown you a couple. Here's how I'd do it: first,



Select[10Prime[Range[100]]^2 + 9, PrimeQ]



Oops, I forgot you need to be a little more explicit in Wolfram Alpha:



Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]



First one should be 499, last one 2714419. Wrap that in Length like so:



Length[Select[10Prime[Range[100]]^2 + 9, PrimeQ[#] &]]



In Wolfram Mathematica you can also do Length[%], which I read in my mind as "length of previous."



Answer is 21. Meaning that among the first hundred primes $p$, 21 of them are such that $10p^2 + 9$ is also prime.



You can push Wolfram Alpha a little higher than that, but not as high as you can push Wolfram Mathematica. Unless maybe you have a paid Wolfram Alpha subscription.



EDIT: Yong Hao Ng correctly points out that the asker wants $10p^2 + 9$ and $8p^2 - 9$. And also that that can be easily accommodated with an AND, e.g., Length[Select[Prime[Range[100]], PrimeQ[10#^2 + 9] && PrimeQ[8#^2 - 9] &]].







share|cite|improve this answer














share|cite|improve this answer



share|cite|improve this answer








edited Aug 18 '18 at 8:37

























answered Aug 18 '18 at 5:33









Robert SoupeRobert Soupe

11.5k21950




11.5k21950








  • 1




    $begingroup$
    A remark that for both conditions one could do Length[Select[Prime[Range[100]], PrimeQ[10#^2+9]&&PrimeQ[8#^2-9]&]]
    $endgroup$
    – Yong Hao Ng
    Aug 18 '18 at 7:55














  • 1




    $begingroup$
    A remark that for both conditions one could do Length[Select[Prime[Range[100]], PrimeQ[10#^2+9]&&PrimeQ[8#^2-9]&]]
    $endgroup$
    – Yong Hao Ng
    Aug 18 '18 at 7:55








1




1




$begingroup$
A remark that for both conditions one could do Length[Select[Prime[Range[100]], PrimeQ[10#^2+9]&&PrimeQ[8#^2-9]&]]
$endgroup$
– Yong Hao Ng
Aug 18 '18 at 7:55




$begingroup$
A remark that for both conditions one could do Length[Select[Prime[Range[100]], PrimeQ[10#^2+9]&&PrimeQ[8#^2-9]&]]
$endgroup$
– Yong Hao Ng
Aug 18 '18 at 7:55











0












$begingroup$

The answer to this question is no prime number can be formed satisfying your property because prime's can't be denoted in the subtraction of one- squared quantity and other cubed quantity.



At least, 10p^2 + 9 can never be satisfied.






share|cite|improve this answer









$endgroup$









  • 2




    $begingroup$
    Could you provide more details?
    $endgroup$
    – klirk
    Dec 14 '18 at 12:00
















0












$begingroup$

The answer to this question is no prime number can be formed satisfying your property because prime's can't be denoted in the subtraction of one- squared quantity and other cubed quantity.



At least, 10p^2 + 9 can never be satisfied.






share|cite|improve this answer









$endgroup$









  • 2




    $begingroup$
    Could you provide more details?
    $endgroup$
    – klirk
    Dec 14 '18 at 12:00














0












0








0





$begingroup$

The answer to this question is no prime number can be formed satisfying your property because prime's can't be denoted in the subtraction of one- squared quantity and other cubed quantity.



At least, 10p^2 + 9 can never be satisfied.






share|cite|improve this answer









$endgroup$



The answer to this question is no prime number can be formed satisfying your property because prime's can't be denoted in the subtraction of one- squared quantity and other cubed quantity.



At least, 10p^2 + 9 can never be satisfied.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Dec 14 '18 at 10:11









Aziz LokhandwalaAziz Lokhandwala

14




14








  • 2




    $begingroup$
    Could you provide more details?
    $endgroup$
    – klirk
    Dec 14 '18 at 12:00














  • 2




    $begingroup$
    Could you provide more details?
    $endgroup$
    – klirk
    Dec 14 '18 at 12:00








2




2




$begingroup$
Could you provide more details?
$endgroup$
– klirk
Dec 14 '18 at 12:00




$begingroup$
Could you provide more details?
$endgroup$
– klirk
Dec 14 '18 at 12:00


















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid …



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2886354%2fhow-to-finds-primes-p-with-the-property-that-both-10p29-and-8p2-9-are-a%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







-

Popular posts from this blog

How to change which sound is reproduced for terminal bell?

Image
3 Recently upgrade to 18.10 from 18.04, and using the terminal is becoming annoying: the new alert sound is a drip ( /usr/share/sounds/gnome/default/alerts/drip.ogg ), and the previous one is still located at ( /usr/share/sounds/ubuntu/stereo/bell.ogg ). My issue is that at the gnome-terminal, when autocompleting or pressing left BOTH sounds are reproduced, at the same time. I want to just have ubuntu/stereo/bell.ogg active, not both . At the moment I have been only able to reduce the volume of the alerts (but still both are played), or turn the alerts down (but I dislike both "solutions"). gnome-terminal 18.10 teminal-bell share | improve this question
Read more

Title Spacing in Bjornstrup Chapter, Removing Chapter Number From Contents

Image
up vote 5 down vote favorite 2 I would like to make it so that the vertical space below the title of each chapter is the same when using the Bjornstrup package (i.e. so that the descenders do not affect the spacing - as shown by the red arrow in the picture below). I think I'm fairly happy with the spacing around "A chapter", so I'd really like titles without descenders (e.g. "Contents") to have the same vertical spacing as "A chapter" below the title. I would also like to remove the large "0" in the contents title. Any help appreciated, as always. documentclass[11pt,a4paper]{book} % Packages[![enter image description here][1]][1] usepackage[left=3.5cm, right=3.5cm, top=4.3cm, bottom=4.25cm]{geometry} usepackage[utf8]{inputenc} usepackage{libertine} usepackage[libertine]{newtx
Read more

Can I use Tabulator js library in my java Spring + Thymeleaf project?

Image
0 I want to add Tabulator js to my java project. I added tabulator.min.js, tabulator.min.css to resources folder. After that added to my html page these dependencies as recommending in readme.md. <link rel="stylesheet" th:href="@{/css/tabulator.min.css}"> <script type="text/javascript" th:src="@{/js/tabulator.min.js}"></script> Now my tables view all elements, that I have in the html page, but not correct. In the documentation of Tabulator is example how to create header and table, var table = new Tabulator("#example-table", { columns:[ {title:"Name", field:"name", sorter:"string", width:200, editor:true}, {title:"Age", field:"age", sorter:"
Read more