How many pairs of integers $(m,n)$ satisfy $m^3+6m^2+5m=27n^3+9n^2+9n+2011;?$ [on hold]












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How many pairs of integers $(m,n)$ satisfy $$m^3+6m^2+5m=27n^3+9n^2+9n+2011;?$$










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put on hold as off-topic by amWhy, stressed out, Toby Mak, user91500, Paul Frost Jan 4 at 11:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, stressed out, Toby Mak, user91500, Paul Frost

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 2




    Hint: Work modulo $3$.
    – Toby Mak
    Jan 4 at 3:14






  • 1




    It looks to me like there aren't any.
    – Doug M
    Jan 4 at 3:19
















-5














How many pairs of integers $(m,n)$ satisfy $$m^3+6m^2+5m=27n^3+9n^2+9n+2011;?$$










share|cite|improve this question









New contributor




Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











put on hold as off-topic by amWhy, stressed out, Toby Mak, user91500, Paul Frost Jan 4 at 11:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, stressed out, Toby Mak, user91500, Paul Frost

If this question can be reworded to fit the rules in the help center, please edit the question.









  • 2




    Hint: Work modulo $3$.
    – Toby Mak
    Jan 4 at 3:14






  • 1




    It looks to me like there aren't any.
    – Doug M
    Jan 4 at 3:19














-5












-5








-5







How many pairs of integers $(m,n)$ satisfy $$m^3+6m^2+5m=27n^3+9n^2+9n+2011;?$$










share|cite|improve this question









New contributor




Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











How many pairs of integers $(m,n)$ satisfy $$m^3+6m^2+5m=27n^3+9n^2+9n+2011;?$$







number-theory






share|cite|improve this question









New contributor




Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question









New contributor




Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question








edited Jan 4 at 3:06









amWhy

192k28225439




192k28225439






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Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked Jan 4 at 3:00









Chand16Chand16

11




11




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Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor





Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Chand16 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




put on hold as off-topic by amWhy, stressed out, Toby Mak, user91500, Paul Frost Jan 4 at 11:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, stressed out, Toby Mak, user91500, Paul Frost

If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by amWhy, stressed out, Toby Mak, user91500, Paul Frost Jan 4 at 11:15


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – amWhy, stressed out, Toby Mak, user91500, Paul Frost

If this question can be reworded to fit the rules in the help center, please edit the question.








  • 2




    Hint: Work modulo $3$.
    – Toby Mak
    Jan 4 at 3:14






  • 1




    It looks to me like there aren't any.
    – Doug M
    Jan 4 at 3:19














  • 2




    Hint: Work modulo $3$.
    – Toby Mak
    Jan 4 at 3:14






  • 1




    It looks to me like there aren't any.
    – Doug M
    Jan 4 at 3:19








2




2




Hint: Work modulo $3$.
– Toby Mak
Jan 4 at 3:14




Hint: Work modulo $3$.
– Toby Mak
Jan 4 at 3:14




1




1




It looks to me like there aren't any.
– Doug M
Jan 4 at 3:19




It looks to me like there aren't any.
– Doug M
Jan 4 at 3:19










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