Form 3539: Fill & Download for Free

He can.Why?He comes at the No.3 spot which makes him a probable candidate for making more runs through his career as we have seen some No.3’s on the list of overall run-scorers like Kumar Sangakkara, Rahul Dravid and Ricky Ponting.His Statistics now:He has accumulated around 3500+ runs in 46 matches and has been a mainstay in India’s test line-up.Age-factor:He is 29 yrs old now and since he plays only Test cricket for India as of now… Guess he could be playing for next 10 years… No fatigue due to too many international fixtures…The Prediction part:Now, he has accumulated 3539 runs and needs only 6461 runs over 10 years… at an average of 647 runs per year.India on a average of 9 test matches per year.So, 647/9 ~ 72 runs per test match, which by Pujara’s standard would be easy.If he sees an improvement, he could achieve it even earlier, provided he maintains his fitness over the duration.So, Pujara with his present form and being a mainstay in the test line-up is likely to join the elite 10000 run club in Test Cricket.Edit: inputs from Pradeep Ravilla - Pujara has a history of knee injuries and fielding at FSL, adds stress to them.So, in order to negotiate the effect of the stress, Pujara might have to score a more faster pace than he has being doing now, if at all the knee factor becomes a major problem in the future.

So, let's look at the spell description:“You choose an area of water that you can see within range and that fits within a 5-foot cube. You manipulate it in one of the following ways:…You freeze the water, provided that there are no creatures in it. The water unfreezes in 1 hour… If you cast this spell multiple times, you can have no more than two of its non-instantaneous effects active at a time,…” in this case, frozen water.A 5-foot cube means a cube that's 5′×5′×5′, which means a volume of 125 cubic feet. Converted into US gallons, that's a little more than 935 gallons, or 3539 liters. Being able to have two of these at one time means a total of 1870 gallons, or 7078 liters. That's about 14,156 bottles of water, or almost 50 150-quart Igloo coolers; or about 8.7 kiddie pools of frozen water.This much frozen water would weigh about 15,521 lbs., or about 7040 kg. Makes for a great deadfall trap, as long as you make sure to set it up ahead of time; you're going to be hard-pressed to convince the barbarian to haul all that ice up to the top of the overhang of the cave mouth…Although, you could just move the water into the deadfall on its own; from the spell description: “You cause the water to form into simple shapes and animate at your direction. This change lasts for 1 hour.”So, you could animate all that water, have it “walk" into position, then freeze it. Now you just need to make sure to draw out your enemies before the hour is up. What do owlbears eat, anyway?

If [math]\gcd(2^p - 1, 3^p - 1) \neq 1[/math] for some prime [math]p[/math], than is [math]p[/math] a Sophie germain prime (ie prime of the form [math]p =1+2q[/math], where [math]q[/math] is also a prime number)?Nope, at least not necessarily.from sympy import isprime from math import gcd  def isSophiePrime(p, chekIsPrime=True):  if chekIsPrime and not isprime(p): return False  return isprime((p-1)//2)  interstingPrimes=[p for p in range(10**4) if isprime(p) and gcd(2**p-1, 3**p-1)!=1] print([i for i in interstingPrimes if not isSophiePrime(i, False)]) And the result:[43, 131, 191, 239, 251, 419, 431, 443, 463, 491, 659, 683, 743, 883, 911, 1031, 1103, 1223, 1451, 1499, 1511, 1559, 1583, 1811, 1931, 2003, 2339, 2351, 2399, 2543, 2699, 2939, 3299, 3319, 3359, 3491, 3539, 3851, 3911, 4019, 4057, 4211, 4271, 4373, 4391, 4871, 4903, 4943, 5003, 5039, 5051, 5171, 5231, 5279, 5303, 5711, 5903, 6131, 6263, 6323, 6491, 6551, 6563, 6947, 7043, 7103, 7151, 7211, 7529, 7691, 7883, 8111, 8243, 8317, 8663, 8951, 9007, 9059, 9371, 9419, 9479, 9539, 9791] So these are concrete counter examples, meaningthey are all prime numbers[math]\gcd \left (2^p-1, 3^p-1 \right ) \ne 1[/math]but [math]q=\frac{p-1}{2}[/math] is not a primeFor example [math]43[/math]:it is a prime number [math]\ddot\smile[/math][math]\gcd \left (2^{43}-1, 3^{43}-1 \right )=431\ \ddot\smile[/math][math]q=\frac{43-1}{2}=\frac{42}{2}=21=3 \cdot 7 \ \ddot\frown[/math]