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Prime pairs in power (Posted on 2021-07-05)

Find all natural numbers m,n such that 3^3m²+6n-61+4 is a prime number.

No Solution Yet Submitted by Danish Ahmed Khan

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limited computer search

| Comment 1 of 6

clearvars, clc

digits 100

for m=0:10

for n=0:25

v=vpa(3)^vpa((3*m^2+6*n-61))+4;

if v>0 && v==floor(v)

if isprime(v)

disp([ v m n])

end

finds only

 prime  m  n
[ 13.0, 1, 10]
[ 13.0, 3, 6]

Posted by Charlie on 2021-07-05 09:45:52

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