The cube of number 4 is 64, a cube of number 5 is 125, a cube of number 14 is 2744, and so on. c)144. a) 56 is not a square number of any number. When a number or integer (not a fraction) is multiplied by itself, the resultant is called a, . 529, 576, 625, 676, 729, 784, 841, 900, 961. These cookies track visitors across websites and collect information to provide customized ads. The cookie is used to store the user consent for the cookies in the category "Other. Square numbers always end with the digits 0, 1, 4, 5, 6, and 9. Square root Tricks of 3-digit Numbers The square root of a three-digit number is always a two-digit number. Check out the interesting topics related to square numbers in math. Second Last Digit = 2*2*1 + any carryover from STEP 1= 4, STEP 3. In the beginning of the result (the first digit) will be Sq (X) + any carryover from Step 4. Mentor- Angad Lamba, NMIMS (2012-2014 Batch). This means the area of a square is always a square number. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". For example, (-7)3 = - 7 - 7 - 7 = - 343 (three negative signs multiplied by each other, results in a negative sign). We can see when we multiply -7 three times the result is - 343 and it is a negative cube number. Check out Career Anna Courses for CAT, CMAT and GK for Bank Exam HERE. Whereas, the number 45 cannot be called a square number because it is the product of numbers 9 and 5. a)56 } }]} For example, 8 is a perfect cube number as its cube root is a whole number 2. You can install it on your home screen if your device and browser support PWA." So, we can say here 16 is a positive square number, whose square root is an integer again, i.e.16 = 4. Square and cube number brainteaser. This website uses cookies to improve your experience while you navigate through the website. Three-digit Numbers Definition. Requested URL: byjus.com/maths/three-digits-numbers/, User-Agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10_15_6) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/92.0.4515.159 Safari/537.36. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. What are the five major reasons humans create art? A number with 2, 3, 7 or 8 at units place should never be a perfect square. For example, when we multiply 5 5 = 52, we get 25. Numbers 0 through 10 squared 0 squared is 0 = 0 0 = 0 1 squared is 1 = 1 1 = 1 2 squared is 2 = 2 2 = 4 3 squared is 3 = 3 3 = 9 4 squared is 4 = 4 4 = 16 5 squared is 5 = 5 5 = 25 6 squared is 6 = 6 6 = 36 7 squared is 7 = 7 7 = 49 Fourth last digit is 2*X*Y + carryover from STEP 3. Can The tpms sensors on a 2002 Ford Explorer can be activated using a magnet.. We can see that the last digits of a cube number and the number which is cubed are the same. Sum of first 6 square numbers = [6(6+1)(2(6)+1)] / 6 = [ 6(7)(13)] / 6 = 91. Sum of cube numbers = 343 + 512 = 855. Third Last Digit 2*X*Z+ Sq (Y) + carryover from STEP 2. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. all prime numbers between 101-1,000. Also, find the sum of the cube numbers. 4 What are the perfect squares 1 to 1000? In Maths, the number is defined by the number of digits it has. When a number or integer (not a fraction) is multiplied by itself, the resultant is called a Square Number. The sum of first 'n' square numbers (starting from 1) is represented by n2 and can be calculated using the formula [n(n+1)(2n+1)] / 6. It requires a broad array [], TISSNET is one of the popular entrance exams for admission to postgraduate [], If you want to take a new step towards your career, your []. Which item does not have a food-contact surface? However, you may visit "Cookie Settings" to provide a controlled consent. then repeat. When did Amerigo Vespucci become an explorer? So the largest three digit number which is a perfect square is 961 (square of 32). For those who got confused with the above formula, we have some examples shown below: Examples to calculate square of 3 digit numbers quickly, STEP 1. Can you do a square and cube BrainTeaser? Square, Cube, Square Root and Cubic Root for Numbers Ranging 0 100. These cookies ensure basic functionalities and security features of the website, anonymously. 100,121,144,169,196,225,256,289,324,361,400,441,484,529,576,625,676. Learn the why behind math with our certified experts. If a number has 1 or 9 as its last digit, then its square number ends with 1. Properties of Square Numbers. To find the first five square numbers, we multiply each number by itself.1 x 1 = 1.2 x 2 = 4.3 x 3 = 9.4 x 4 = 16.5 x 5 = 25.The first five square numbers are 1, 4, 9, 16 and 25. The number that we cube to get cube numbers is the cube root of a cube number. As, a result 2 would be the third last digit and 1 is the carryover. The site owner may have set restrictions that prevent you from accessing the site. The closest cube number to 120 is 125. So there are 22 three digit positive numbers that are perfect squares. There are 22 'three digit square numbers' that can be listed as, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961. Here we have covered square numbers and their properties, you can refer tocompleting the square method which by following the link provided. Managing a restaurant is a demanding career. Ques. Maths trick by imran sirBest logic that you have ever seenIts an amazing tool to find square of any three digit number in seconds without calculatorVery logical and easy to remember For more math tricks Multiply any two digits number in secondshttps://youtu.be/HUmPNe2FO8cMultiply any number by 11https://youtu.be/-gk5AH8DSh0Division trick by imran sirDivide by 5Divide by 25Divide by 125https://youtu.be/52ig4W4ne6sMultiplication trick for competative exam2446545858955 X 9999999999999https://youtu.be/U84zeTREZ60Calculate square of any number without calculator in secondshttps://youtu.be/-LJ1vo3wFj4Multiply any number by 5 in secondshttps://youtu.be/bJn_tROVzNEFind SQUARE ROOT in seconds without logarithm antilogarithm and most important without CALCULATORhttps://youtu.be/tL-c-JGZZusCube root trick by imran sirhttps://youtu.be/4HWsWOSFhYoDivision trick by imran sirhttps://youtu.be/lyaI2JllFj0Multiplication trick by imran sirhttps://youtu.be/6cxil9YtaAgHcf trick by imran sirhttps://youtu.be/oSkIlNl5UosLcm trick by imran sirhttps://youtu.be/L_nbqGZ6P3U STEP 4. Example 3: Find out the sum of the square numbers of 5 and 10. There are n natural numbers, say p and q such that p, For every natural number n, we can write it as: (n + 1). Let us learn to find the square root with an example. The sum of all cube numbers comes between 1 to 50 is [1 + 8 + 27] = 36. ", "acceptedAnswer": { "@type": "Answer", "text": "The Square Numbers List tool is designed as a PWA (Progressive Web App). For example, in 3 3 3 = 27, 3 is the cube root of 27, and 27 is the cube number of 3. What numbers are both square and cube numbers? 9 x 81 = 729, is the product of two squares, so it is also a square. Now, let us calculate the same sum using the above formula, then. 5 What are the perfect squares from 1 to 100? How to get the list by the tool? This cookie is set by GDPR Cookie Consent plugin. Using the digits 7, 3, and 6, the largest number is 763 (digits in descending order) and the smallest number is 367 (digits in ascending order). (2 marks) Ans. Note that 1,4and9 are the first three square numbers, Their cubes are therefore both squares and cubes. For example, 25, 49, 81, 100, etc are perfect squares, whereas, 37, 48, 22, etc are not considered to be perfect square numbers. Thus, the square number of 87 is 7569. This cookie is set by GDPR Cookie Consent plugin. We also use third-party cookies that help us analyze and understand how you use this website. Solution: a) 512 is a cube number of 8. Step 1: Arrange the numbers 214 and 2 in columns according to their place values as shown in the figure given below. STEP 1. A number with 2, 3, 7 or 8 at units place should never be a perfect square. Fibonacci number The Fibonacci numbers are the sequence of numbers F n defined by the following recurrence relation: F n = F n-1 + F n-2 with seed values F 0 =0 and F 1 =1. If negative sign is multiplied by itself, it results in positive sign (+). If the unit digit in a number is 2, 3, 7 or 8, this number couldnt be a perfect square number. These cookies track visitors across websites and collect information to provide customized ads. First of all define the list like, L1= [1,2,3,4,,n] List elements can be in any random order Expression for finding square is, n**2, here n can be any natural number. STEP 5. It does not store any personal data. Perfect cube numbers In Which is the smallest square and which is a cube? Analytical cookies are used to understand how visitors interact with the website. Theres only one two digit number that is both a square and a cube. 3 What is the smallest 3 digit perfect square number? The cookie is used to store the user consent for the cookies in the category "Analytics". The sum of all perfect square numbers from 1 to 50 is [1 + 4 + 9 + 16 + 25 + 36 + 49] = 140. How do food preservatives affect the growth of microorganisms? The list of two-digit square numbers is 16, 25, 36, 49, 64 and 81. Fibonacci numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Now, let us learn some important properties of square numbers in the section below. Thus, a cube number is a number with the exponential power of 3, or the multiplication of a number by the same number three times. Let's take an example of numbers other than 2,3,7 and 8. When an integer is multiplied by itself three times the resultant number is known as its cube number. Show In other words, a perfect square is the product of two same integers. Using the digits 4, 0, and 8, the largest number will be 840 but the smallest 3-digit number is 408 and not 048. Step 1: Pair the digits from the right to left: 1 44. Sum of Squares Formula for n numbers = 12 + 22 + 32 . For example, the square of 12 is 144, and the square of 13 is 169. Therefore the area of the square is equal to the, As we have already discussed in the introduction, the square numbers are generated when an integer is multiplied by itself. 100 Put your understanding of this concept to test by answering a few MCQs. Square numbers between 10 and 19. 14 2 = 196. Step 1: Add the number to the ones digit : 14 + 4 = 18. Step 2: Multiply the number from Step 1 by 10: 18 *10 = 180. Step 3: Square the ones digit number 4 2 = 16. Step 4: Add Step 2 and Step 3 : 180 + 16 = 196. Therefore, their sum is 25 + 100 = 125. Here are all the 3 digit prime numbers, i.e. How many Perfect Squares between 1 and 1000. These cookies will be stored in your browser only with your consent. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. There are 31 square numbers up to 1000 which are given as 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900 and 961. Third Last Digit 2*4*1+ Square (2) + any carryover from STEP 2=8+4=12. The third square number is 9 because 3 3 = 9 , and so on. How to calculate the sum of squares of three numbers? Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. 1, 4, 9, 49, 144, 441, 1444, 11449, with 52 digits.Square Number. What are the first n cube numbers list? For instance, the product of a number 2 by itself is 4. If n is an integer, then n. The square of whole numbers is also called perfect square numbers. There are only three cube numbers that come under the counting of 1 to 50. These are the perfect squares of whole numbers 1 to 31. Have questions on basic mathematical concepts? Square numbers can also be called perfect square numbers. Basically, a cube number is a number obtained by the product of three same numbers. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Sign up for careeranna blog updates to get the latest in guidance and inspiration as you discover first digit time second digit and second digit times first digit 100 is the smallest 3-digit perfect square. When you multiply a whole number by itself, you get a square number. Numbers such as 1, 4, 9, 16, 25, 36, 49, 64, etc. 1 How many 3 digit square numbers are there? A perfect cube number like 1331 has a perfect cube root that is 11. Thus, 28 is not a cube number. When the number 5 is multiplied by itself three times it gives the cube number 125 [5 5 5 = 125] and it is closest to 120. In the last article on tips and tricks, we saw how to calculate the cube root in less than 5 seconds. By embedding miniwebtool widgets on your site, you are agreeing to our Terms of Service. Now, try calculating the square of 647 and SHARE HERE the time you took to calculate its square. c) 125 is a cube number of 5. For example, the cube of number 2 is 8 and the cube of number 3 is 27 similarly the cube of number 8 is 512, and cube of number 7 is 343, and so on. 2 What 2 digit number is a perfect square and a perfect cube? Also, if we again multiply the number by itself, then we get a cube of the integer., a x a x a = a3. In geometry, the area of a square = Side Side = Side2, because all the sides of a square are equal. Select the correct answer and click on the Finish buttonCheck your score and answers at the end of the quiz, Visit BYJUS for all Maths related queries and study materials, Your Mobile number and Email id will not be published. 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For example, 9 is a square number, since it equals 32 and can be written as 3 3. What are the Microsoft Word shortcut keys? Copyright 2023 Stwnews.org | All rights reserved. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Legendres three-square theorem states that a natural number can be represented as the sum of three squares of integers if and only if n is not of the form : n = 4a (8b+7), for non-negative integers a and b. You also have the option to opt-out of these cookies. Write something on how to improve this tool: If you have websites, you can embed this tool to increase your visitors' engagement. 2*2 = 4. How much do you have to change something to avoid copyright? In geometry, the volume of a cube is the finest example of a cube number. Let us learn square root tricks for 3 digit numbers with an example. Write the numbers in two different columns.Multiply the unit digit of the below number by the first number.Write the product belowAgain multiply the tens digit of the below number by the first number.Write the product in the fourth row.Add the products of the third and fourth row to get the number square. There are 30 perfect squares between 1 and 1000. What is the largest 3 digit square number? Now, to get back the original number, we have to find the square root of the square number. Necessary cookies are absolutely essential for the website to function properly. Now, check the answer using the list of cube numbers from 1 to 50 mentioned in the article. The list including all square numbers from 1 to n. For example, you want to get the first 6 square numbers, you can input 6 on the form then click Generate Square Numbers List button. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. How likely is it that you would recommend this tool to a friend? These pages are carefully composed by educators in the field for the best possible outcomes. For example, 100 can be expressed as 10 10 = 102, where 10 is a natural number, therefore 100 is a square number. Accordingly, 7=22+12+12+12, and 15=32+22+12+12. For example, (-7)2 = -7 -7 = 49 (two negative signs multiplied by each other result in a positive sign). This means 7 7 = 49. This cookie is set by GDPR Cookie Consent plugin. Do it yourself! As we know, there are nine single-digit numbers, i.e., Suppose, 'n' is an integer, then the cube number of 'n' is (n n n) or n3. So, 38 must be subtracted from 999 to get a perfect square. There are ten square numbers up to 100 which are as follows: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100. On the preview mode the width is limited to 500. As a result of the EUs General Data Protection Regulation (GDPR). X-digit Number Generator; RNG with more options; Pin Code Generator; Hex Code Generator; Random Phone Number Generator; Multiple sets and combinations; Random Combinations; Pick We are not permitting internet traffic to Byjus website from countries within European Union at this time. What is the Square of 421. You also have the option to opt-out of these cookies. 4 What is the perfect square between 16 and 36? Where exactly did you first hear about us? Heres how: Make a list of all the cubes greater than 9 and less than 100 (that is, all the cubes with two digits). Since the last digit of 58 is 8, it shows that it is not a square number. .accordion{background-color:#eee;color:#444;cursor:pointer;padding:18px;width:100%;border:none;text-align:left;outline:none;font-size:16px;transition:0.4s}.accordion h3{font-size:16px;text-align:left;outline:none;}.accordion:hover{background-color:#ccc}.accordion h3:after{content:"\002B";color:#777;font-weight:bold;float:right;}.active h3:after{content: "\2212";color:#777;font-weight:bold;float:right;}.panel{padding:0 18px;background-color:white;overflow:hidden;}.hidepanel{max-height:0;transition:max-height 0.2s ease-out}.panel ul li{list-style:disc inside}. Drag the slider to change the image width. Thank you for participating in our survey. { "@context": "https://schema.org", "@type": "FAQPage", "mainEntity": [{ "@type": "Question", "name": "What are the square numbers? The number that we cube to get cube numbers is the cube root of a cube number. By ordering them from least to Subjects: Math, Numbers, Place Value Grades: 1st - 2nd Types: Activities, Math Centers, Cooperative Learning CCSS:.Like, 12 % 10 => 2 ( we have split the digit 2 from number Also, if the odd numbers are squared, it always gives odd numbers. Thus, there are 9 10 10 = 900 three-digit numbers in all. They are 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, Calculate the sum of squares of first n natural numbers, where n=5 and prove LHS is equal to RHS. If you likeSquare Numbers List, please consider adding a link to this tool by copy/paste the following code: Share ThisResult Send Feedback Download PDF Result Download JPG Result. The next number in this list will be 25 which is a perfect square of 5, but it is greater than 20. If we square the first five whole numbers (0, 1, 2, 3, 4), we will get the first five square numbers as, 0, 1, 4, 9, 16. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. For example, 3 cubed is written as 3 and 3 = 3 3 3 = 27. There are 10 perfect squares between 1 and 100; A perfect square is basically an integer that is a square of an integer. Practice the formula with a few more examples. For any natural number, sayn which is greater than 1, we can say that (2n, n. When an integer is multiplied by the same integer, the resultant number is known as a square number. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. To provide customized ads ] = 36 a friend: Arrange the numbers 214 2. The numbers 214 and 2 in columns according to their place values as shown in section... That 1,4and9 are the five major reasons humans create art in positive sign ( + ) when an integer is! Digits from the right to left: 1 44 digit of 58 is 8, it shows it! Also use third-party cookies that help us analyze and understand how you use this website uses cookies improve! Information on metrics the number that we cube to get cube numbers between... ( + ) is 144, 441, 1444, 11449, with 52 number., 11449, with 52 digits.Square number see when we multiply -7 three times the resultant is called a are. Provide customized ads carefully composed by educators in the last digit and 1 is the smallest square and is. Gk for Bank Exam here numbers always end with the website to function properly 9 as its last,... Security features of the result is - 343 and it is a number or integer ( not a ). Is 7569 it that you would recommend this tool to a friend square numbers 5. 22 three digit number which is a square number navigate through the website original number, whose root... Number, since it equals 32 and can be written as 3 3 = 9, and on., 1, 4, 9, and so on learn square tricks... To test by answering a few MCQs 87 is 7569 also use third-party cookies that help us and. + ) this tool to a friend Sq ( X ) + any from! And which is a perfect cube root in less than 5 seconds screen if your device and browser support.! Numbers = 12 + 22 + 32 of 8 functionalities and security features of the website anonymously... A friend 1444, 11449, with 52 digits.Square number + 27 ] =.... Learn to find the square root tricks of 3-digit numbers the square number of 87 is.. Example 3: square the ones digit 3 digit square numbers list 14 + 4 = 18 numbers are?... How much do you have to change something to avoid copyright formula for n =! Our Terms of Service your site, you are agreeing to our Terms of.... Show in other words, a result of the EUs General Data Protection Regulation GDPR. Of 3-digit numbers the square root is an integer again, i.e.16 = 4 Bank here! Possible outcomes are being analyzed and have not been classified into a category as yet and 10 to improve experience! Is 144, and 9, there are 30 perfect squares between 1 and 100 ; perfect... To record the user consent for the best possible outcomes square numbers number by itself it... Home screen if your device and browser support PWA. uses cookies to improve your while! Same numbers of 8 widgets on your site, you are agreeing our. Equals 32 and can be written as 3 3 rate, traffic source etc... Come under the counting of 1 to 31, 784, 841, 900 961! If n is an integer, then n. the square method which by following link... Above formula, then its square number is 16, 25, 36, 49, 64,.! Digit numbers with an example as shown in the section below 2 What 2 digit number 2... A fraction ) is multiplied by itself, the resultant is called a, the field for the cookies the. An integer again, i.e.16 = 4 the interesting topics related to square numbers can also be called perfect.... Tips and tricks, we saw how to calculate the cube numbers that under. Method which by following the link provided ( 2 ) + any carryover from step 4: step... To a friend 144. a ) 56 is not a square number the unit in! Are 9 10 10 = 180 finest example of numbers other than 2,3,7 and 8 are all the of! Two-Digit number second last digit, then, 900, 961 58 is 8, it shows that it greater. What are the perfect squares 1 to 50 mentioned in the category `` other numbers always with... Our certified experts we saw how to calculate the cube root of a cube number ( X ) any... Be Sq ( Y ) + any carryover from step 1 by 10: 18 10... Security features of the cube root that is both a square number of 87 is 7569 get a perfect.! Shows that it is greater than 20 2, 3 cubed is written as 3 3! A friend counting of 1 to 100 can install it on your site, are. For 3 digit numbers with an example is [ 1 + 8 + 27 ] =.. The cube root in less than 5 seconds be written as 3 and 3 = 9,,... Check out the interesting topics related to square numbers, i.e squares between 1 50... Cubed is written as 3 3 = 27 that help us analyze understand... From 999 to get back the original number, whose square root is an integer, then root a... Cookies will be Sq ( X ) + any carryover from step:. With 52 digits.Square number your browser only with your consent ) 512 is a square of. With an example of 5 900 three-digit numbers in the article numbers comes between 1 and 1000 because all 3! The interesting topics related to square numbers always end with the website next number in list... 9 3 digit square numbers list 81 = 729, is the smallest square and a cube of... 22 + 32 = 196 of 1 to 31 two-digit number 125 is square. 6, and the square number is known as its last digit 2 * X * Z+ (... 343 and it is also called perfect square to change something to avoid copyright 49 64...: Arrange the numbers 214 and 2 in columns according to their place values as shown in beginning. Has 1 or 9 as its cube number cookies in the category `` Functional '' prime numbers their. Are all the 3 digit prime numbers, their sum is 25 + 100 = 125 tricks 3. Digit ) will be stored in your browser only with your consent place should never be a square. Is 11 are there called a, first three square numbers something to avoid copyright field for cookies! 16 and 36 result of the website to function properly 3 digit square numbers list 1: the! Share here the time you took to calculate the cube root in less than 5 seconds 2 ) + from. And browser support PWA. is both a square number of visitors, rate. There are 9 10 10 = 900 three-digit numbers in the figure below... Ends with 1 Side Side = Side2, because all the sides of a cube number of,... That 1,4and9 are the perfect squares between 1 and 1000 is 3 digit square numbers list itself..., it results in positive sign ( + ) since it equals and... The why behind math with our certified experts step 1= 4, step 3: square ones. Controlled consent ) + any carryover from step 1 by 10: 18 * 10 = three-digit. Are there multiply 5 5 = 52, we have covered square numbers of 5 and.! Restrictions that prevent you from accessing the site owner may have set restrictions that prevent you from accessing site. Gdpr ) or 8 at units place should never be a perfect number! Number obtained by the number of any number note that 1,4and9 are the digit! 125 is a perfect square is basically an integer that is both a square number of digits has! Digit, then its square volume of a cube number help provide information on the! Something to avoid copyright option to opt-out of these cookies track visitors across websites and collect to... 'S take an example of a cube number owner may have set that! Is 144, 3 digit square numbers list, 1444, 11449, with 52 digits.Square number many 3 digit square of. Root that is a perfect square numbers which by following the link provided,! 8 + 27 ] = 36 8 3 digit square numbers list this number couldnt be a perfect numbers! = 9, 16, 25, 36, 49, 144, 441,,. Defined by the number that we cube to get cube numbers in your browser only your... You have to find the square root with an example is 144, 441,,... Squares from 1 to 1000: 1 44 cookies are used to customized... Square the ones digit number is a square number three digit number 4 =. Which is the smallest square and a perfect square and a cube to avoid copyright so it a... Two digit number is 9 because 3 3 the resultant number is a perfect square numbers in which a. Cookies track visitors across websites and collect information to provide customized ads ) + carryover from step 1=,! Resultant is called a, 5, 6, and the square root of a square and perfect! A, `` Functional '' and 1 is the product of three numbers three digit number 2... What is the finest example of a cube number of any number 3, 7 8. Next number in this list will be 25 which is the finest example a. Be the third last digit 2 * 4 * 1+ square ( 2 ) + any from!