Form Gp 1: Fill & Download for Free

Its Grace Period -1.GP-1 :- After expiry of your sim validity. BSNL will keep some 7/15 days as GP1 ,within that period,if you can recharge once,you can restore all your services.GP2–6 months.Within this period,if you can recharge once,you can restore all your services.After GP2- number will be deactivated and later on it will be given to a new customer.

Hey it is easy one just keep calm and solve with free mind.lets solve step by step[ n/m] =0 when 0<=n<m1 when m<=n<2m2 when 2m<=n<3m……. so onfrom above terms from 1 to m-1 will be positive and m to 2m-1 will be negative and this step will repeat.lets calculate first sum of n = 0 to n = m-1 and say GP.GP = 1 +r +r*r+….+r^m-1Gp=(1-r^m )/1-r as 0<r<1now for rest-r^m -r^m+1-…….-r^2m+1;take common -r^m-r^m(1 +r +r*r+….+r^m-1) =-r^m(GP)for next +r^2m(gp)-r^3m(gp) …so sum=Gp -r^m(GP)+r^2m(gp)-r^3m(Gp) +..another gp with common ratio -r^m;sum=GP/(1+r^m)= (1-r^m )/((1-r) *(1+r^m) ) so ans is B.

/TLDR: people smarter than me have worked on this problem, and nobody has yet found a factor for Googolplex + 37. Doesn’t mean it’s prime - would take ages to prove that - but it’s the closest number to a googolplex that has not yet been proven composite.The list of longest known primes has numbers with tens of millions of digits, not a googol digits! This problem is far beyond the computing power of mankind. But let’s look at some odd numbers CLOSE to googolplex and eliminate some candidates.GP - 1 is not prime; that should be obvious. It’s a multiple of 3, 9, 111111…11111 and many other things. It is also a difference of squares, since GP is 10^[(5E99)^2] and 1 is 1 squared. Difference of squares can be factored (a+b)(a-b). Since GP - 9, GP -25, GP - 49, GP - 81, etc. are all difference of squares, they are all composite.Since GP - 1 is a multiple of 3, then GP - 7, GP - 13, GP - 19, GP - 25, and GP +5, GP + 11, GP + 17, GP + 23, etc. are also multiples of 3.Since GP - 1 is a multiple of 11 (has an even number of digits, all nines, therefore sum of odd-positioned digits = sum of even-positioned digits) we know that GP - 23, GP - 45, etc. are composite, and so are GP + 21, GP + 43, etc.GP + 1 is not prime because Googolplex is a sum of fifth powers. It’s 10^[(2E99)^5] while 1 is the fifth power of 1. Any sum of cubes, sum of fifth, seventh, ninth, etc. powers can be factored as (a+b) times some other stuff. So GP + 27, GP + 243, etc. are not prime.GP / 7 has a remaider of 4 (may include proof in the comments if I have time later) so GP - 4 , and thus GP - 11, GP - 25, GP - 39, etc. and GP + 3, GP + 17, GP + 31, etc. are all multiples of 7.Obviously nothing that ends with 5 is prime, so GP +/- 5, +/- 15, etc. are composite.You can keep going and going and going along these lines, and believe me, much better mathematicians than I have done this. To date, NOBODY HAS EVER FOUND A FACTOR FOR GP + 37. But it would take eons to actually prove its primality.