Vpp Equation

This is a webpage I wrote to summarize the Vpp and define miscellaneous terms used in this and other technical articles or post any pictures/proof(s) related to Vpp and the miscellaneous stuff discussed here and in our text messages send to our subscribers. Until this page is completed and made public, it will not be directly accessible from our main site: Krishna Software Inc.. Images on right are some of the receipts after 11/30/2023 and are related to proving my analysis of date 11/30/2023. I calculated that day that 7 and 17 will be predominating rather than just 7 or just 17. Month plus day (m+d) = 41 which can be written as a sandwich of 7 by 17s: 17+7+17 = 41. 2023%41 = 14 = 7+7 (modulo or remainder of dividing the year by sum of month plus day). Using LORE with initial condition of R(0)=41, we see that R(1) is HPX(R(0))=14 and R(2)=7. You can substitute for the year 2023 with its factors and substitute the 41 (m+d) with its sum of 7s and 17s to see the usage of 17s and 7s: (17*7*17)/(17+7+17) = 7*7+(7+7)/(17+7+17). The analogy used to describe this beautiful equation is that the 7 is the princess and the 17s are the dancing queens (Q) around the princess. Just like in certain dances there's symmetricity so here also the number of 7s is 7 and number of 17s is 6. The sum of 7s on right side is 7*5 = 35 and sum of 17s on right side is 34. The 34 sums to 7 digit-wise besides being a multiple of 17. The sum of the numbers on the right side is 34+35=69 which factors to 23*3 and 23 is the same as sum of the digits in our two dancing queens around a princess (17+7+17) and there are 3 such occurrences in our equation (23*3). Sum of all numbers for left side is 82 (41*2) and sum of numbers on both sides is 82+69 = 151 which is a prime number summing to 7. Sum of all digits involving 17 add up to 48 and sum of all 7s is 49. Applying LORE with initial condition of R(0)=1130, the remainders converge to 17 on the 5th iteration (R(5)=2023%118 = 17). Although the date showed 7s and 17s in various ways, some solid proof came in the form of 119 (7*17) showing up in prime time NBA (basketball) games within 24 hours after analyzing this date. Three games had final scores having a 119 in it. Denver scored 119 on 12/1/2023 and won their game 119-111 against Phoenix. Philadelphia scored 119 in an earlier game that evening during prime time. These two games were both on ESPN whose NBA games are nationally televised not some local TV event for a few towns. In fact, that channel even goes internationally to many nations including Canada, India, etc. Another game was the one I was watching where the NY Knicks beat Toronto 119-106. Even that game goes to a big market in tri-state area and it also goes to a large population in the Toronto area (in Canada). The 106 score of the losing team (Toronto) sums to 7 here to add to the 119 which is 7*17. If you go through the NBA schedule of games played this year for all the NBA teams, you will have a hard time finding one team that scored 119 but in this case 3 teams score 119 as their final score. If that was not enough proof, when I went shopping in nearby grocery stores like ShopRite, Apna Bazaar, etc. without even knowing the cost of the items I was putting in my cart, the digits in the total cost had 7s and/or summed to 17 or multiple of 7s. Some of the items are based on weight and there's no way to know the exact cost until you weigh the item and compute the price which normally people do not do even if a scale is available for customers. Even if you could weigh it, the scales are NOT exactly the same as the one that the cashier uses nor can you split/break certain fruits/vegetables to get an exact weight. You can see posted here the photos of the receipts I got around the time 7s and/or 17s dominated. There have been a lot of dates this past year (2023) which are simply summing to multiple of 7s or the remainderS [R(n)] of 2023/(m+d) are resulting in 7 or multiple of 7s. The number 17 with or without 7 has also shown up more so than your average number should. This is supposed to be "lucky" or auspicious for the universe as researched and posted in lucky7 article I started writing some time ago and is posted at Lord Nrsimha/Lucky7 articles. This is not the final version of the article but good enough to point out some facts about 7 and 17. The 41 written as (17+7+17) also shows up if you take the first digit of the current year and take to the power of the next three digits or 2^023 = 8388688 where the sum of the digits is 41. You get the same 41 if you write the date as yyddmm and sum up the factors' digits: 231130 = 2*5*29*797 (2+5+2+9+7+9+7=41). If you sum up the 17+7+17 one digit at a time (digit-wise) you get 23 and this also has been showing up near end of 2023 although less frequently than 7 and 17. For example, factors of 1219 and 121923 have 23 as factors and 1230 and 123123 which have a 23 in them have 41 as factors. I even received a parcel from Fedex whose label is pictured on this webpage. The tracking # is 788237777364 where if you split the number at start of "23", we see that 7+8+8 = 23 and factors to 2*2*197 which sums to 2+2+1+9+7 = 7+7+7 (21). The numbers to the right of 23 sum to 41 and its factors are 2*2*7*17*16339 which not only have 7 and 17 as factors but once again the digits sum to 41. If we sum up the factors we get 16367 which sums to 23 and factors to 13*1259 whose digits sum to 21 (7+7+7). Now sum up the 1259+13 and you get 1272 = 2*2*2*3*53 and the digits of these factors sum to 17! If you sum the left side of the fedex tracking number inclusive of 23, you get 28 (7*4) and if you sum the right side inclusive of 23, you get 46 (23*2) and if you factor it: 237777364 = 2*2*11*5404031 where the rightmost factor sums to 17 and sum of all these factors is 23. The clincher for this tracking number being the "destiny of 23" was the fact that the item shipped to me cost $23.92 (23*4=92) from an auction site and it was a smart watch (timepiece) that came in a timely manner on 12/21/23 when I was running out of time trying combinations of SPA to generate a 23 from combinations of 12/21/23. To top it off 23s appearing near the end of 2023 seems to predict the 23 for the next year where factors of 2024 are 11*2*2*2*23. What numbers appear more on certain days seems to be destined as a function of time (f(t)) or if the number's durability is long time it's destined as if unrelated to f(t). So if its in your destiny then as the classic song goes "if you look you'll find me time after time". Going back to 7 and 17 combinations, not only did the m+d=41 gives us a beautiful expression but many numbers around that time period fit into the linear equation 7i+17j where i & j are positive integers greater than zero (0). The same feat repeated around 12/29/2023 and also on 1/28/2024 which when phase shifted to make it continuous from last year gives 13/28/2023 (13th month of previous year so 13+28=41). If you examine the number of solutions of 0<7i+17j<=77, you will find that 3/7 of the 77 numbers have solutions. If you examine the number of solutions of 0<7i+17j<=70, it's (7*4)/70 or 40%. If you examine the number of solutions of 0<7i+17j<119 (17*7), it's 70/119 or 10/17. In these solutions up to 119, 119 is non-inclusive since for 119 we get more than one solution; you can get 119 with i=17 & j=0 or i=0 & j=7. I have studied 7-ology and find it fascinating how it shows up in "beautiful" patterns in reality just like there are beautiful patterns in the stars/constellations, snowflakes, leaves, etc. I find these 7-ology patterns based on time or space like sports scores (as already mentioned), tracking numbers, receipts, etc. They are also present in some prime number related equations (explained later). One deductive derivation from our beautiful expression of 2023/41 = 49+14/41 is the swap of 41 and 49 which is doable given general proof:

a/p = q + r/p (any natural number a divided by natural number p is quotient q and a remainder r)

a = pq + r (multiply both sides by p)

a/q = p + r/q (divided by q both sides)

So we can write another beautiful expression for 2023/49 = (17*7*17)/(7*7) = (17+7+17)+(7+7)/(7*7). Sum of all 17s is 68 which sums to 14 (6+8). Sum of all 7s is 56 (7*7+7) and total is 68+56 = 124 (which sums to 7). In terms of dates, one needs to use the phase shifted date from 2023 to get m+d = 49 since maximum m+d value in a normal year is 12+31 = 43.

Recently, on March 14th which some call Pi-day (3/14/24), I was just looking through 17 digits of pi based on an integer formed by multiplying or scaling pi by 10^16. As also stated in our Lucky 7 article, 16 sums to 7 digit-wise and is considered one of the sacred numbers in Vedic scriptures along with 64 (4^3), 108 (7*7+17+7*7-7), 1008 (16*9*7), and others. Let us assign "s" to sacred sixteen summing to seven. I call the pi value scaled by 10^s SPY because this scaled pi yields (SPY) the 17-digit integer number 31415926535897932 and sum of these digits is 82 which is 2 times (2X) the 41 we analyzed above so 41*2 = 17+17+7+7+17+17. The digits in 41*2 sum to 4+1+2=7 and is also the sum of the digits in the beautiful mathematical expression given before (17*7*17)/(17+7+17). In computer science base 2 (binary) is more commonly used than base 10. If we do 2^17 we get 131072 which sums to 14 and 14 is also the first two digits of pi after the decimal point and when added to 3 (only digit before the decimal point), it's 17 and the 14th digit of pi is 7. Now factor this SPY number and we get exactly 7 prime factors: 2*2*7*7*2381*57493*1170899. Here we have 4 (2*2) as first two factors which also form the square root of 16 (s), the power of 10 which we used to scale pi, 7*7 a perfect square of 7 as next two factors, fifth factor 2381 sums to 14 (7+7), sixth factor 57493 sums to 28 (7*4 or 14*2) and has a 7 and 49 in the middle, and the 7th factor 1170899 is 7 digits, sums to 35 (7*5) and has a 7 and 17 in it. We can state that each multi-digit or big prime factor has some form of 7 in it in addition to sum of its digits being a multiple of 7. In 2381, the 81 is 3^4 where 3+4=7. Sums of the digits of all the multi-digit prime factors is 77. There are more 7s here if you look around like if you sum up the 3 multi-digit prime factors you end up with 1230773 and prime factoring this new number gives us 1230773 = 257*4789. These digits of the two factors also sum to multiples of 7 while the number 1230773 sums to 23. Since order of factors does not matter in coming to the value of SPY, we can also rewrite the factors of SPY as (7+7)*2381*57493*1170899*(7+7) so the factor with 7 and 49 (7*7) is in the middle sandwiched by 14s (7+7). Then using our linear equation 7i+17j = F where F is the factor and solving for minimal j, we find that j=5 for F=2381 and j=3 for F=1170899 which are the two values next to those factors in our middle factor 57493. They don't have to be next to them but if we list our factors in increasing magnitude, they happen to be next to their minimal j solutions. So given these properties and others, we can perform lossless data compression on our 17-digit (queen size) pi. We can reconstruct our SPY of 17 digits with the properties involving 7-ology with the 5-digit middle factor 57493 as a given starting point. It can be done in other ways, but this factor fits in very well with what we have been discussing so far and is easy to remember. Besides having a 7 and 7*7 (49) in it, the nearest number with explicit triple 7s is just the same sacred number away that we used to form SPY: 57477 + s = 57493. Now it should be easier to remember and we can compress our 17-digit pi even further by factoring 57477 and seeing the presence of another triple 7: 57477 = 3*7*17*7*23. Sum of these prime factors is 57, or the first two digits of the product of the same prime factors and our middle factor of SPY. As explained above, the year 2023 had triple 7s in its factors of 17*7*17 where it was described as two queens (17s) dancing around a princess (7). Here the triple 7s are two princesses surrounding a queen: 7*17*7 = 833 . The digits of the year 2023 sum to 7 and digits of 833 sum to 14 (7+7). As you can see the number 14 is a recurring number in dealing with SPY. In fact, 4 of our 7 factors of SPY (all the single digit factors) 2*2*7*7 form a perfect square of 14 or 196 and our scaling number s is also sum of its digits: s=1+9+6. Another property we get using 7-ology properties on 2381 and 1170899 is the fact that the sum of the digits of these two factors is 49 and the product of these two factors (2787910519) also has sum of digits equal to 49. Another form of pi that can be useful is 1/pi or SLIP (Simply Lovely's Inverse Pi). If we use the same sacred number 16 and scaling factor of 10^16 and scale 1/pi, we get 3,183,098,861,837,906 which is 16 digits and sum of its digits is 80 (16*5) and factors to 2*11*126233*1146184531. The last two factors sum to multiples of 17. Sum of all digits sums to 55 or 11*5 which sums to 16 (11+5) or 7 (1+1+5) digit-wise. The normal sum of these factors end with a triple 7: 1,146,310,777 = 23*31*47*79*433. In general, any integer formed by scaling a mathematical expression involving pi to an integer and analyzed with 7-ology falls in the catagory of LIPS or Lovely's Integer Pi Synopsis. More examples later in next version of this article...

Another important number to consider is what is called a HPX() resistant number or palindromic number. We recently gifted a palindromic number 2823282 to our text message subscribers. Here we encoded the 5 main 7-ology numbers less than 100 into 2823282 in various ways. Here 23 is center of the 7-digit number, 7 is encoded into first two digits (7*4), and 41 is encoded into last two digits (41*2). If we move forward to the next two digits from each side, we have 23 and 32 (16*2). Then we decode the center 3 digits 232 = 29*2*2*2 and sum of these digits is 17. He as we factor each pair of digits, we take the largest factor as the number to be decoded. In the final step when we factor the inner 3 digits, we sum the digits of our factors and then take the largest factor of that sum.

General rules for Krishna Software's equations: we generally write equations that are in integer domain or preferably in the natural number domain so there are no decimal points and results are 0...infinity (no negative numbers). All the equations involving lucky 7 are lossless meaning even if they involve intermediary non-integer calculations, fractions are used so nothing is lost in the next calculation. For example, one of Lovely's Lucky7 Call (LLC) equation is: L(n+1) = 7*L(n)+5/7 with L(0)=1. If we used the decimal form of 5/7, we end up trying to keep infinite digits since 5/7 = 0.7142857142857... Also, in LORE (Lovely's Original Remainder Equation), where we divide the numbers and keep only the remainder R(n+1), nothing is lost since the remainder is always a positive integer as long as we set our initial condition R(0) to a positive integer (R(0)>0). In our date calculations where m=month, d=day, and y=year, we try to use only addition, multiplication, certain quotients w/remainders, just remainders, and certain powers of positive whole numbers (integers). There are no negative numbers or multipliers for m, d, and y or other constants added to m, d, and y other than those allowed for or given in the original problem. Even the division restricts the divisors to positive values that do NOT cancel the month (m), day (d), and/or year (y) in the dividend; this prevents the calculation from becoming independent of the date. This is what we call Simple Positive Analysis (SPA). By default for date analysis, only multiplier and/or constant allowed is 7 since that's related to days in a week, planets, and our lucky number for positive influence. Therefore all calculations of SPA are all positive whether doing intermediary calculations or in the final result. The result should simply flow out easily from the equation and not involve complicated calculations. For example, 10/25/2023, sum of month and day is 35 (m+d = 35 = 7*5). Sum of m+d+y = 2058 = 2*3*7^3. Here 7^3 means 7 to the power of 3 or 7*7*7 or 7 cubed. Remainder of y/(m+d) = 28 or 7*4. If we involved negative numbers and arbitrary constants multiplying the month, day, or year other than those allowed for like 7, etc. then it's a complex integer analysis (CIA). Obvioulsy, if you used decimal points and real numbers you can get any resultant value from the f(m,d,y). But time in the universe is only a positive entity and there is quantization of days, hours, etc. in reality corresponding to planets, the sun, and other things not something arbitrary defined. To prove the rarity of "lucky 7", SPA is used and if SPA cannot generate our lucky 7 then we have no choice but concede that lucky 7 is not meant for that day. A glossary of acronyms used by Krishna Software Inc. is given at the end of this article (not an exhaustive list but enough for this article).

Vpp Equations (Virender's prime to prime equations)-- [documentation is incomplete]

In layman's terms, if you have ever tried to cross a small shallow river or stream in the forest and did not want to get dirty or you didn't want to get wet, you usually try to find areas in the river where there are rocks that stick out of the water that you can step on until you can cross. In this analogy the rocks sticking out of the water are the prime numbers and presumption is that the water level of the stream/river is constant (does not change). Just as in crossing the river you step on one rock after another that is not submerged in the water so Vpp equation is an equation that goes from one prime to another as far as possible without running into a composite number... We are not trying to exhaustively get all the primes to fit into our equation just like in crossing the river we are not trying to find all the rocks that are above the water. Initial condition of the equation is given in P(0). For versions of the equation that require two initial conditions, then P(1) would become the first initial condition and P(0) becomes the second initial condition. For three initial conditions, P(2) is the first initial condition, P(1) is the second initial condition, and P(0) is the third initial condition. And so on. Initial conditions do not have to be primes just like when crossing the river you can start on one bank of the river that does not necessarily have to be a rock not submerged in the water. For example, P(0)=lg(3) is an example of an initial condition that works fine for generating prime numbers for one of our Vpp equations. P(n) = f(P(n-1)) as n goes from 1 and up. Obviously, in this example, P(0) is neither prime nor composite since lg(3) = 1.5849625... Here "lg" means logarithm of base 2 so lg(2048)=11 whereas log(x) means base 10 logarithm so log(1000)=3 and ln(x)=logarithm to the base e which is an irrational constant (e=2.718281828459045... or to be more exact, e=SUM(1/n!) (n=0..infinity). In trying to come up with this equation (Vpp) I did come up with several equations that work for generating unique primes in a certain range. Let us start with an easy example that works in generating a limited number of consecutive prime numbers using our perfect square equation: P(n+2) = 2*P(n-1)-P(n)+2. If we let the difference between two recently generated primes be delta P; i.e., dP = P(n-1)-P(n) then this equation becomes P(n+2) = P(n-1)+dP+2. Recall that this equation generates perfect squares when initial conditions are P(0)=4 and P(1)=1. Here we just have to change the two initial conditions P(1) and P(0) so it generates primes. If we let P(0)=P(1)=17 (Q) then we can generate 16 (Q-1) consecutive primes in range of [Q..Q*Q]. Similarly, if we let P(0)=P(1)=41 then we can generate 40 (41-1) consecutive primes in range of [41..41*41]. For P(1)=-7 and P(0)=-1, we can get consecutive primes up to 77. Initial conditions can be adjusted depending on whether we want them to be inclusively part of the list of primes or excluded from the list of primes we generate. For example, to get 40 consecutive unique primes starting from P(2), we can set P(0)=43 and P(1)=41. There is more to this method of generting primes but I'll leave it for a future update if there's any interest.

One perspective of the universe that's been around since time immemorial is that nothing is random not even a coin flip. This is pointed out in the newsletters at our website https://www.krishnasoft.com and these newsletters are based on the Srimad-Bhagavatam, an ancient Vedic text propounding the Absolute Truth. The universe is under pefect control. The Sanskrit word isvara means controller and each material body is a yantra (machine) which is perfectly under control and the universe is just a bigger machine. Astrology when perfectly understood can look at the constellations and other aspects of the universe and foretell events that will take place on this and other planets. This prophesizing has been going on since time immemorial. Just because it looks complex for the average human to figure out does not make it random. We need a definition of randomness first before we claim it exists or not. One definition of randomness given in math books regarding numbers states that any series of numbers that have no correlation are random. That's okay to define it that way but who will determine whether there is a correlation between a set of numbers? Some used to think the tree and plants and their branches had random patterns but then someone came up with recursive fractal equations that model patterns similar to those found in trees and plants and other things in nature. Therefore one should not make any absolute assertions that things are random based on their own limited experience or limited knowledge. One can always write an equation for any set of data but because they cannot be simplified some people think the data is "random". It could be our math transforms are insufficient to deal with the data or data is still organized yet cannot be simplified. Philosophically, there is a relationship of currently existing state of affairs to previous plus some delta which is a function of various things. Going back to our coin flip example, if you can figure out things exactly about the initial conditions of the coin and surroundings you can foretell the result of the coin flip a priori. Certain things do have initial conditions that can easily be determined by your average human. Our coin flip equation can drop back to a probability event resultant (R): R = Ti/2 + (1-i/2)*H when initial conditions are not known. This is one way to look at a coin flip event or anything else that has a head and tail even a badminton birdie. When i=1.00, then this reduces to your normal 50% for tails and 50% for heads equation assuming coin and surroundings are unbiased. For a badminton birdie, the head is biased (heavier) than the tail so the value for i will not be 1.00 and exact determination of the value for i will be function of the initial conditions which include things like distance it drops, the air speed, the weight of the head of the birdie compared to it total weight, forces involved like gravity, etc. Even if you do NOT accept exactness of the universe, there's no reason to reject this equation unless you are biased. This is because the probability calculations which many people use to describe the coin flip is a subset or part of the equation. Why not get exact answers when possible and filter those out prior to employing probability if needed? For example, I can flip a large coin in such a way, that I know how many flips will occur prior to it falling to the ground or in my hand or in case of a badminton birdie one can toss it so it is guaranteed to fall with the head down. Why would I want to use "chance" or "probability" to explain it which gives me inexact answers or no answers? For those coin flip events where we are NOT aware of the initial conditions, it does not mean the event is random or probabilistic. If the event is significant enough, some people can sense the result due to destiny, karma, love, divine intervention, etc. There's a famous song that goes "I can feel it coming in the air tonight.." This second method is unknown to modern science but is evidence of the EXACT nature of the universe. To sum up, one method is by our own calculations and control we predict the result according to someone's intellectual capacity and the other method is we take help from another more powerful intellectual source although the explanation may be beyond our capacity to understand or inconceivable. Just like in computer software, one can write his own program or take advantage of a theoretical perfectly optimized operating system or library of software. Futuristic factual events sometimes show up in certain people's dreams and whether true or not, dreams are proof of a more complex system of math taking place without us being aware of it. Love is also a means to attain perfect knowledge of a particular subject that you love. I have researched a useful equation to express love mathematically as: L=m*k*k (love equals money times knowledge squared). By love, here I mean unconditioned love as conditioned love would be very complex in figuring out which components are tainting love like selfishness, greed, etc. By money, it does not just mean dollars, it can be wealth in any form like diamonds, land, cows, your own body, etc. In some cases, knowledge can also be transformed to money or vice-versa. Then there are the negative emotions that can hinder knowledge like hatred (H), anger (A), greed (G), etc. These form an equation like A=sqrt(k)/m where we have less access to knowledge when in a state of anger and things can get worse depending on amount of wealth.

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Glossary

7-OLOGY = the study of 7 and numbers related to it like 17, 41 (17+7+17), 119 (17*7), etc. and sacred numbers 16, 64, 108, etc. The 5 main 7-ology numbers less than 100 are 7, 16, 17, 23, and 41.

ANTIC = apparently not taught in colleges.

CIA = complex integer analysis.

DRY LIPS = Delta-modulated Reciprocal Yields; a form of LIPS involving 1/pi and delta-modulation. ECLIPSE = Extremely Complex LIPS Exposition (see LIPS below).

HPX = Hokey Pokey Xform (transform) where the digits of a number are rotated about its center derived from "put your right number in, put your left number out, do the hokey-pokey and turn your numbers around; that's what it's all about." For example, HPX(911)=119 and for any number with power (exponent), HPX(a^p)=p^x. To make HPX(x) complete, the inverse function would have to be defined and in our case HPX(x) has an inverse function which is HPX(x) itself; i.e, HPX(HPX(x))=x. There are bit more details to this like derivative and integration where the constant is lost in taking the derivative and must be accounted for when integrating to complete the inverse.

IRS = individual recursive sum: when digits are summed up in a number or numbers independently of their weights.

IPAD = interest in profit, adoration, and distinction. This is one reason you don't always get a better product in a newer version or so-called "progress".

L1L = Lovely's first law of math related to 7-ology: if a natural number n has repeating digits "ab" and the number of times they repeat is a multiple of 3 then that number is also evenly divisible by 777 or n%777=0.

L7L = Lovely's 7th Law of math: a proven fact that if given integers i,j, and k, if i%k=0 and j%k=0, then (i+j)%k = 0 and (i*j)%k = 0.

LIPS = Lovely's Integer Pi Synopsis: various mathematical expressions of pi scaled to an integer like SPY and analyzed with 7-ology.

LLC = Lovely's Lucky7 Call: a type of equation that generates values containing infinite multiples of 7 but involves fractions.

LOG(f(d)) = A deductive positive function f(d) derived due to love of God or "luck" of God helping you (divine intervention). If f(d) you came up with is unrelated to all the hard work and research you did and is better than the function you derived then the credit you should get is log(f(d))/f(d). Any function you get due to love is greater than any function you can get with all the money and knowledge in the world; i.e., L=m*k*k or love is money times knowledge squared; sounds like Einstein's equation e=m*c*c.

LORE = Lovely's Original Remainder Equation: a type of recursive equation that extracts remainders of division based on previous remainder. The input and output of this equation is always a positive integer and initial condition of R(0) is usually the month (mm) and day (dd) in either mm+dd or mmdd format where mmdd is equivalent to mm*100+dd.

PLUMBER = Palindromic number (like breakfast and lunch form brunch); a number that is the HPX() resistant; i.e, when HPX(x) = x then x is a palindromic number. For example, 71617 is a palidromic number made up of 3 of the 7-ology numbers 7, 16, and 17.

SOUL = Survival Of Unconditioned Lover: this is the optimal way to survive all calamities since the body is subject to birth, death, old age, and disease so even the fittest material body is bound to become dust but the soul is eternal and the soul who has developed or has unconditioned love for the Absolute Truth survives through all adversities as illustrated by many examples in history like Prahlada Maharaja, Valmiki, Jada Bharata, etc.

SLIP = Simply Lovely's Inverse Pi: scaled version of 1/pi where the scale is fixed at 10^16. This yields 16-digit integer 3,183,098,861,837,906. If the scale is other than 10^16 then it must be explicitly specified in the parentheses like SLIP(10^32). Note that to get queen size integer for the inverse of pi, scale factor of 10^17 is needed and this is given by SLIP(10^Q) where Q=17 for queen size.

SLIPS = Simply Lovely's Inverse Pi Shortened: scaled version of 1/pi where the scale is fixed at 10^7. This yields the 7-digit integer 3,183,098 and factors to 2*29*54881 which sum to 54912 = (2^7)*3*11*13; this has similar properties to 17+7+17 as it sums to 23 digit-wise and 41 otherwise. SPA = simple positive analysis -- a type of integer analysis using only addition, multiplication, remainders, and powers of positive numbers and any given positive constants.

SPY = Scaled Pi Yields: when pi is scaled by 10^16 then the integer it yields is SPY. If the scale is other than 10^16 then it must be explicitly specified in the parentheses like SPY(10^27). By default SPY() or just SPY refers to scale of 10^16 applied to pi yielding 31,415,926,535,897,932 which has been found to contain a gold-mine of 7s in various forms and used in the study of 7-ology.

Lovely's Original Remainder Equation (LORE)

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Don't go ape over why I threw this monkey wrench of putting a picture of bananas here; I'm not monkeying around-- just haven't had the time to get to this: