62
Lokesh Verma
·2010-07-12 05:24:08
no one!?? The guys greater than class X?
1
ARKA(REEK)
·2010-07-24 08:38:40
Sir ... is the answer ... 250501 ... ???
1
ARKA(REEK)
·2010-07-24 08:45:00
My logic ....
Consider the first 7 digits of the no. , i.e., 1002004
If we multiply 1002004 by 8 ... it gives a result equal to the 9 left out digits of the no., i.e., 008016032. Hence 1002004 must be a factor of the no., i.e., 1002004008016032 [ factorisation gives 1002004 and 1002 as factors ... ]
Now ... 1002004 can be still factorised further ... into 4 and 250501 ... 4 can be further factorised ... but 250501 can not be further factorised ... Hence 250501 is the reqd. PRIME FACTOR of the no. > 250000
62
Lokesh Verma
·2010-07-24 11:12:26
very good work arka..
i had a slightly different proof in mind... but yours is better..
1
ARKA(REEK)
·2010-07-24 21:48:44
Sir ... please tell ur proof too ... would love to learn that too ...
62
Lokesh Verma
·2010-07-25 07:04:18
1002004008016032=1x1015+2x1012+4x109+8x106+16x103+32
1002004008016032=20x1015+2x1012+22x109+23x106+24x103+25
=25x5006-1500-1
Now there is 5006-1 which we factorize further... to get to where arka has reached..
* I think this is the same proof as given in the book too!
1
ARKA(REEK)
·2010-07-25 07:20:50
Wow .. sir ... the proof is wonderful .... pata nehi mere bheje me kyun nahi aya ...
1
ARKA(REEK)
·2010-07-26 05:14:03
Zarur mere dimag me chemical locha hai !!! Hehehe ...
6
AKHIL
·2010-07-26 06:46:07
still a gr88 proof arka!!!!