what is the last 4 digit prime ending in "53"
starting from 9953, 9853, 9753 etc. ?

Question

what is the last 4 digit prime ending in "53"
starting from 9953, 9853, 9753 etc. ?

anonymous · Answer

Start with 1053.$$\text{PrimeQ}[1053]\to \text{False} $$$$\text{PrimeQ}[1153]\to \text{True} $$PrimeQ is a Mathematica function that returns True if the argument is prime and False otherwise.

rational · Answer

@BSwan try this

rational · Answer

find all $\large x$ and $\large  y$ such that :

$\large 1000x + 100y+ 53$ is a prime

anonymous · Answer

when its up to primes , only one thing work -.-

guessing hehehe

anonymous · Answer

yeah lol , why dont you use matlab ?

rational · Answer

$\large 1000x + 100y + 53 = p$


$\large 1000x + 100y  = p-53$

this is a linear diophantine equation, solution exist only when $\large 100 | ( p-53)$

anonymous · Answer

hmmm

rational · Answer

thats an useless thing as it doesn't tell anything new :o

anonymous · Answer

wait brb

anonymous · Answer

i dont think diphontane solve anything right ?

rational · Answer

its not useful http://math.stackexchange.com/questions/914199/find-the-largest-four-digit-prime-number-ending-with-53

anonymous · Answer

so what about trial ?