2020-04-04, 11:47 | #1 |
Mar 2018
17·31 Posts |
Is this fact provable?
I asked it on mathexchange but I did not receive a clear answer.
Consider this Pari code: liste(lim,mul,base=34,step=5590,offset=588)=my(v=List(),X=mul*base); lim\=1; while(X<lim,forstep(n=X+offset+step,lim,step, listput(v,n)); X*=base); Set(v) list(lim)=setunion(liste(lim,23),liste(lim,223)) v=list(1e6) This code generates numbers: if I am not wrong numbers generated by that Pari code which are multiple of 43 are also congruent either to 0 or 344 mod 559. Is this true and why? : liste(lim,mul,base=34,step=5590,offset=588)=my(v=List(),X=mul*base); lim\=1; while(X<lim,forstep(n=X+offset+step,lim,step, listput(v,n)); X*=base); Set(v) list(lim)=setunion(liste(lim,23),liste(lim,223)) v=list(1e6) If you add this Pari code subset1 = select((x) -> (x % 43 == 0), v); subset2 = select((x) -> (x % 43 == 0) && (x % 559 == 0 || x % 559 == 344), v); vecsort(subset1) == vecsort(subset2) > 1 you should test that actually numbers 0 mod 43 are either 344 or 0 mod 559 Last fiddled with by enzocreti on 2020-04-04 at 19:14 |
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