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Number Recreations by Shyam Sunder Gupta

The Place for Number lovers , Number theorists, interested in Number Recreations, computational number theory and recreational number theory

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Number Recreations by Shyam Sunder Gupta | shyamsundergupta.com Reviews
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The Place for Number lovers , Number theorists, interested in Number Recreations, computational number theory and recreational number theory
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1 Number Recreations
2 Rare numbers
3 Primes
4 sequence
5 amicable
6 perfect
7 sociable
8 Strong pseudoprime
9 Unlucky 13
10 EPORN
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Number Recreations by Shyam Sunder Gupta | shyamsundergupta.com Reviews

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The Place for Number lovers , Number theorists, interested in Number Recreations, computational number theory and recreational number theory

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1

Fascinating Triangular Numbers By Shyam Sunder Gupta

http://www.shyamsundergupta.com/triangle.htm

The numbers which can be arranged in a compact triangular pattern are termed as triangular numbers. The triangular numbers are formed by partial sum of the series 1 2 3 4 5 6 7. n. So. Triangular number can be obtained as T. N*(n 1)/2, where n is any natural number.In other words triangular numbers form the series 1,3,6,10,15,21,28. Have you heard of the following famous story about the famous mathematician. Carl F. Gauss. Some of the interesting properties of triangular numbers published in [5] are:.

2

Fascinating Factorials by Shyam Sunder Gupta

http://www.shyamsundergupta.com/factorial.htm

How big is the factorial. Number of Trailing Zeros in Factorials. Factorion, amicable factorion and magic factorion. Various Kinds of factorials like half, double, multi, hyper and super factorials. Prime counting function and factorials. Triangular Numbers and factorials. Euler totient function and factorials. The factorial of a natural number n is the product of the positive integers less than or equal to n. This is written as n! And pronounced as n factorial. 1 * 2 * 3 * 4 * 5 = 120. Since factorial i...

3

Fascinating Rare Numbers by Shyam Sunder Gupta

http://www.shyamsundergupta.com/rare.htm

Properties of Rare Numbers. Computation of Rare Numbers. Conjecture about Rare Numbers. The numbers, which gives a perfect square on adding as well as subtracting its reverse are rare and hence termed as Rare Numbers. If R is a positive integer and R1 is the integer obtained from R by writing its decimal digits in reverse order, then if R R1 and R - R1 both are perfect square then R is termed as Rare Number. So for R to be a Rare Number we must have. And R - R1 = B. For R=65, R1=56. R-R1 = 65 - 56 = 9 = 3.

4

fsquare

http://www.shyamsundergupta.com/fsquare.htm

Can you think what is the similarity among the numbers. You will surprise to note that all have like digits (i.e. And at the same time all are perfect squares i.e. the square of 133, 137, 281 and 286 respectively. A systematic study of Square numbers up to 10. Was made and reported by me in [1], which revealed that:. There is only one set of six squares i.e. (10609, 16900, 19600, 61009, 90601, 96100) and one set of five squares i.e. (16384, 31684, 36481, 38416, 43681) up to 10. There are pairs of consecu...

5

SMARANDACHE SEQUENCE OF HAPPY NUMBERS

http://www.shyamsundergupta.com/shappy.htm

SMARANDACHE SEQUENCE OF HAPPY NUMBERS. Chief Engineer(C), S.E. Railway, Garden Reach. Kolkata - 700043, India. URL: http:/ www.shyamsundergupta.com/. In this article, we present the results of investigation of Smarandache Concatenate Sequence formed from the sequence of Happy Numbers and report some primes and other results found from the sequence. 7 - 49 - 97 - 130 - 10 - 1, so the number 7 is a happy number. Also Smarandache Back Concatenated sequence or Reversed Smarandache S-sequence is. Smarandache ...

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Els enigmes d’en Ziol: 23: La constant àuria amb una mentida

http://ziolenigmes.blogspot.com/2011/03/23-la-constant-auria-amb-una-mentida.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Diumenge, 20 de març de 2011. 23: La constant àuria amb una mentida. La constant àuria, anomenada també divina proporció, és la relació que guarden dues quantitats x. Si entre la seva suma i la més gran d’elles hi ha la mateixa relació que entre la gran i la petita. El seu valor numèric amb quinze decimals és: 1,618033988749895… s’acostuma a representar amb la lletra grega fi, ( φ. Sinó que és la millor...

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Els enigmes d’en Ziol: 16: El misteri del número 37

http://ziolenigmes.blogspot.com/2011/03/16-el-misteri-del-37.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Dimecres, 2 de març de 2011. 16: El misteri del número 37. Quan tenia 8 anys, a la contracoberta de color lila d’un quadern de cal·ligrafia, hi vaig trobar una digressió que un anònim, i lloable, dissenyador hi havia afegit per entretenir els nens. Demanava d’escriure dues vegades seguides un número de tres xifres —en un paper, clar, encara no hi havia calculadores de butxaca—. Divisions per 7, 11 i 13.

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Els enigmes d’en Ziol: 18: En català i màgic

http://ziolenigmes.blogspot.com/2011/03/18-en-catala-i-magic.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Dimarts, 8 de març de 2011. 18: En català i màgic. Fixem-nos en la figura següent:. L’únic quadrat màgic de 3×3. És el que s’anomena un quadrat màgic, una disposició quadrada de números, en aquest cas 3×3, en la qual totes les files columnes o diagonals sumen el mateix, en aquest cas 15. Quadrat màgic de 4×4 a la Sagrada Família. Ara, fixem-nos en el quadre de la següent il·lustració:. Però n’hi h...

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Els enigmes d’en Ziol: 12: La mateixa figura

http://ziolenigmes.blogspot.com/2011/02/12-la-mateixa-figura.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Dimecres, 9 de febrer de 2011. 12: La mateixa figura. A la figura hi podem veure dos conjunts de peces de Lego: al l’esquerra tres peces en forma del pentominó U. I a la dreta cinc trominós rectes. Els dos grups tenen la mateixa àrea total, concretament 15 caselles. Dos grups de figures formades amb Lego. El problema consisteix en trobar una figura que es pugui formar amb cadascun dels dos grups. 8226; ...

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Els enigmes d’en Ziol: 11: Circuit de diferents distàncies

http://ziolenigmes.blogspot.com/2011/02/11-circuit-de-diferents-distancies.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Diumenge, 6 de febrer de 2011. 11: Circuit de diferents distàncies. Sobre una quadrícula, en el nostre cas de rajoles, hem col·locat vint-i-vuit monedes. Suposem que la quadrícula és exacta, amb una distància unitat entre dos encreuaments contigus i que les monedes estan exactament ben posades a les interseccions. 28 monedes sobre la quadrícula. Es tracta de trobar dotze monedes. 9733;★★. Aprenentatge, ...

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Els enigmes d’en Ziol: 13: Operacions ocultes

http://ziolenigmes.blogspot.com/2011/02/problema-13-la-figura-hi-podem-veure.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Dimarts, 15 de febrer de 2011. Reconstruir una operació, és un procés molt menys mecànic i força més divertit, que simplement construir-la. I pedagògicament és tan útil com poc emprat, llevat de trivialitats. 8217; ha d. 8217; operar per eliminació: quines xifres no pot ser determinada marca? Tots aquests problemes, si estan ben construïts, tenen solució única, i això a vegades és una pista per trobar-la.

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Els enigmes d’en Ziol: 25: Vuit dames?

http://ziolenigmes.blogspot.com/2011/04/25-vuit-dames.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Dimarts, 5 d’abril de 2011. Un altre tema relacionat amb els escacs. És força conegut el problema de com posar al taules vuit dames, de manera que no n’hi hagi dos que s’ataquin mútuament. Té 92 solucions, que es redueixen a 12 de bàsiques si considerem que dues són la mateixa si podem passar de l’una a l’altra mitjançant girs o simetries del tauler. Una de les solucions al problema de les 8 dames.

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Els enigmes d’en Ziol: 20: Manquen peces

http://ziolenigmes.blogspot.com/2011/03/xx-manca-una-peca.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Diumenge, 13 de març de 2011. El mètode inductiu consisteix en observar les propietats comunes a una sèrie de dades, obtenir una llei que les generi, i generalitzar a altres casos. En el conjunt de peces de la il·lustració —només els fons de suro és una fotografia— hi manca potser alguna peça. 53 peces d’una determinada col·lecció. Esbrinar quantes i les seves formes es pot aconseguir pel mètode inductiu.

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Els enigmes d’en Ziol: Números

http://ziolenigmes.blogspot.com/p/numeros.html

Els enigmes d’en Ziol. Trencaclosques, més o menys fàcils, i també subtils, per fer gimnàstica mental. Números és un conjunt de notes curtes, algunes d’elles il·lustrades, sobre diversos números naturals que tinguin un cert interès en el camp de l’educació i la matemàtica lúdica. És la identitat multiplicativa, qualsevol número multiplicat —o dividit— per 1. Pertany a la sèrie dels quadrats: 0, 1. 4, 9, 16, 25, 36… la dels cubs: 0, 1. 8, 27, 64, 125… la dels números triangulars: 0, 1. Punts més notables ...

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Capacity Building & Development | Interesting Informative Management Posts

Capacity Building and Development. Interesting Informative Management Posts. STEM (Science,Technology,Engineering,& Math) education in USA, The initiative, The interest, The action. July 25, 2010. Please also read my article on Wiki.This article was featured on the wikiHow home page during Septmber-October 2010). STEM (Science Technology Engineering and Math) education has again come into limelight suddenly with everyone concerned including White House taking initiatives in this direction. America will c...

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ਸ਼ਿਆਮ ਸੁੰਦਰ ਅਗਰਵਾਲ श्याम सुन्दर अग्रवाल

ਸ਼ ਆਮ ਸ ਦਰ ਅਗਰਵ ਲ. श य म स न दर अग रव ल. ਸ਼ਿਆਮ ਸੁੰਦਰ ਅਗਰਵਾਲ. श्याम सुन्दर अग्रवाल. ਪੰਜਾਬੀ-ਹਿੰਦੀ ਕਥਾਕਾਰ/पंजाबी-हिन्दी कथाकार. Sunday, April 14, 2013. टूटी हुई ट्रे. सत्तर वर्ष की उम्र में अब इतनी फुर्ती तो थी नहीं कि बहू के देखने से पहले, किसी तरह ट्रे और चाय के कपों को छिपा लेते।. बहू उनके सामने आ खड़ी हुई थी,. बाबू जी, क्या बात आज दो कप चाय. 8221; गले से डरी हुई सी आवाज निकली।. 8220;और बाबू जी, यह टूटी हुई ट्रे! 8220;मगर आज ये दो कप? ਸ਼ਿਆਮ ਸੁੰਦਰ ਅਗਰਵਾਲ. Labels: लघुकथाएँ. Sunday, November 20, 2011. अपन&#236...

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Cheap Domestic, International DTDC Courier Services in Noida Sector 18

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Shyam Sunder Export House - Exporter of Textile Chemicals and Auxiliaries & Industrial Minerals from Kolkata

Your Enquiry has been sent successfully. Serving the industry for many years, we have been able to position ourselves among the reputed names engaged in Manufacturing, Supplying. A comprehensive range of Textile Chemicals and Auxiliaries, Industrial Minerals, Speciality Chemicals and many more. These products are known for perfect composition purity, Eco-friendly nature and other attributes. Our offered range of products are extensively used in various industries such as Chemical, Agriculture, paint .

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SHYAM SUNDER - Home Page

WELCOME TO OUR WEBSITE! Shyam Sunder is one of the leading manufacturer of Namkeen and Sweets products, established in Ahmedabad by late Shri Laxmilalji Hinger in 1969. Our Goal is to make the life Sweet and Namkeen. Our team is into continuous upgradation of quality food through expertise and newer production methodology. Today "SHYAM SUNDER" ranks no.1 in quality Namkeen Food Products in Ahmedabad. Taste, Purity and Hygiene practices are always central in our working and have become a DNA of our culture.

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Number Recreations by Shyam Sunder Gupta

Executive Director Track(P),. 141, Rail Bhawan, Ministry of Railways,. New Delhi, India-110001. Telephone: (011) 23382619(O), 23368426(R). Http:/ www.shyamsundergupta.com/. Update 7 July, 2015). The page on Fascinating Triangular Numbers. The page on Curious Properties of 153. The page on Unique Numbers. CYF NO. 43. Solution by Al Zimmermann. CYF NO. 26. Comments by Mauro Fiorentini. CYF NO. 15. Comments by Mauro Fiorentini. CYF NO. 7. Comments by Mauro Fiorentini. CYF NO. 46. Curious Properties of 153.

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Number Recreations by Shyam Sunder Gupta

Executive Director Track(P),. 141, Rail Bhawan, Ministry of Railways,. New Delhi, India-110001. Telephone: (011) 23382619(O), 23368426(R). Http:/ www.shyamsundergupta.com/. Update 7 July, 2015). The page on Fascinating Triangular Numbers. The page on Curious Properties of 153. The page on Unique Numbers. CYF NO. 43. Solution by Al Zimmermann. CYF NO. 26. Comments by Mauro Fiorentini. CYF NO. 15. Comments by Mauro Fiorentini. CYF NO. 7. Comments by Mauro Fiorentini. CYF NO. 46. Curious Properties of 153.

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My Thoughts - Shyam Sunder Pariavakkam

My Thoughts - Shyam Sunder Pariavakkam. Sunday, November 29, 2009. Medical Tourism in India. Recently I had been to the Indian Consulate in. I started browsing thru the magazine and went thru its table of contents just to get an idea of what articles I can expect inside. Few of them were interesting but one stood out with it’s attractive title that read “East or West,. Is the Best”. So I decided to turn to the page number listed and find out what the article is about. What is Medical Tourism? Or Eastern ...

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All About CIN- Country Version India. User exits in CIN. Tax Collected at Source. MODVAT was replaced by CENVAT w.e.f. 1.4.2000. Principally, there is no difference between CENVAT and earlier MODVAT. Here I would like to highlight some of the country-specific (India specific) functions. These are functions which are related to India only and cover the needs arising from local legislation or business practices with in Indian Jurisdiction. In India these functions are popularly known as CIN. Special Field ...

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Shyam's Visions | Professional Photography

Architecture & Interior Design. Products & Table-tops. Hotels & Food. We do lots of work for advertising agencies. Explore. Mobile: 91 98222 18882 Email: info@shyamsvisions.com. Architecture & Interior Design. Architecture & Interior Design. We do exterior as well as interior photography. Explore. Mobile: 91 98222 18882 Email: info@shyamsvisions.com. We have a wide roster of industrial clients. Explore. Mobile: 91 98222 18882 Email: info@shyamsvisions.com. Products & Table-tops. Products & Table-tops.