181st Day of Year: 30.06.19 – Palindromic Prime Number

References Inder J. Taneja, Symmetric Properties of Nested Magic Squares, Zenodo, June 29, 2019, pp. 1-55, http://doi.org/10.5281/zenodo.3262170 Embedded Palindromic Prime Numbers - I, RGMIA Research Report Collection, 20(2017), Art. 121, pp. 1-86, http://rgmia.org/papers/v20/v20a121.pdf 

180th Day of Year: 29.06.19

References Inder J. Taneja, Patterns in Pythagorean Triples Using Single and Double Variable Procedures, Zenodo, January 19, 2019, pp. 1-134,   http://doi.org/10.5281/zenodo.2544519 Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53 http://doi.org/10.5281/zenodo.2544527 Inder J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples, Zenodo, January 20, 2019, pp. 1-160, http://doi.org/10.5281/zenodo.2544551 Inder J. Taneja, Generating Pythagorean Triples, Patterns, and Magic Squares, Zenodo, January 20, 2019, … Continue reading 180th Day of Year: 29.06.19

Publications: Magic Squares

MAGIC SQUARES Digital Fonts-Type Magic Squares Inder J. Taneja, Digital Era: Magic Squares and 8th May 2010 (08.05.2010), May, 2010, pp. 1-4, https://arxiv.org/abs/1005.1384.Inder J. Taneja, Universal Bimagic Squares and the day 10th October 2010 (10.10.10), Oct, 2010, pp. 1-5, https://arxiv.org/abs/1010.2083.Inder J. Taneja, DIGITAL ERA: Universal Bimagic Squares, Oct, 2010, pp. 1-8, https://arxiv.org/abs/1010.2541.Inder J. Taneja, Upside … Continue reading Publications: Magic Squares

Publications: Recreation of Numbers

Recreation of Numbers General Inder J. Taneja, 2019 In Numbers, Zenodo, December 31, 2019, pp. 1-27, http://doi.org/10.5281/zenodo.2529103.Inder J. Taneja, 2020 In Numbers: Mathematical Style - Revised, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193.Inder J. Taneja, Factorial-Type Numerical Calendar, Zenodo, March 24, 2020, pp. 1-33, http://doi.org/10.5281/zenodo.3726335.Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, … Continue reading Publications: Recreation of Numbers

178th Day of Year: 27.06.19

References Inder J. Taneja. (2019). Different Digits Equivalent Fractions – I, Zenodo, March 24, 2019, pp. 1-165, http://doi.org/10.5281/zenodo.2604565. Inder J. Taneja. (2019). Different Digits Equivalent Fractions – II, Zenodo, March 24, 2019, pp. 1-244, http://doi.org/10.5281/zenodo.2604738. I.J. Taneja, Crazy Representation of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ .

177th Day of Year: 26.06.19

References Inder J. Taneja, Running Expressions with Triangular Numbers - I, Zenodo, December 21, 2019, http://doi.org/10.5281/zenodo.2483327. Inder J. Taneja, Running Expressions: Increasing and Decreasing Orders, https://inderjtaneja.com/2017/05/24/running-expressions-increasing-and-decreasing-orders/ Inder J. Taneja, Fibonacci Sequence and Running Expressions With Equalities-I,  https://inderjtaneja.com/2017/05/24/fibonacci-sequence-and-running-expressions-with-equalities-i/ Inder J. Taneja, Single Digits Representations of Numbers from 1 to 20000, https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000/ 

176th Day of Year: 25.06.19

References: Inder J. Taneja. (2019). Palindromic-Type Palindromes – I, Zenodo, January 15, 2019, pp. 1-99,    http://doi.org/10.5281/zenodo.2541174 Inder J. Taneja. (2019). Palindromic-Type Non-Palindromes – I, Zenodo, January 15, 2019, pp. 1-117,    http://doi.org/10.5281/zenodo.2541187 Inder J. Taneja. (2019). Amicable Numbers With Patterns in Products and Powers, Zenodo, March 05, 2019, pp. 1-25,   http://doi.org/10.5281/zenodo.2583306  

175th Day of Year: 24.06.19

References: Inder J. Taneja. (2019). Flexible Powers Narcissistic-Type Numbers, Zenodo, February 19, 2019, pp. 1-126,  http://doi.org/10.5281/zenodo.2572770 Inder J. Taneja. (2019). Fixed and Flexible Powers Narcissistic Numbers with Division, Zenodo, February 19, 2019, pp. 1-142,  http://doi.org/10.5281/zenodo.2573047 Inder J. Taneja. (2019). Semi-Selfie Numbers, Zenodo, February 12, 2019, pp. 1-394, http://doi.org/10.5281/zenodo.2562390 Inder J. Taneja. (2019). Palindromic-Type Palindromes - … Continue reading 175th Day of Year: 24.06.19

174th Day of Year: 23.06.19

References Inder J. Taneja. (2019). Different Digits Equivalent Fractions – I, Zenodo, March 24, 2019, pp. 1-165, http://doi.org/10.5281/zenodo.2604565. Inder J. Taneja. (2019). Different Digits Equivalent Fractions – II, Zenodo, March 24, 2019, pp. 1-244, http://doi.org/10.5281/zenodo.2604738. Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203,   http://doi.org/10.5281/zenodo.2556902

173rd Day of Year: 22.06.19

References Inder J. Taneja. (2019). Different Digits Equivalent Fractions – I, Zenodo, March 24, 2019, pp. 1-165, http://doi.org/10.5281/zenodo.2604565. Inder J. Taneja. (2019). Different Digits Equivalent Fractions – II, Zenodo, March 24, 2019, pp. 1-244, http://doi.org/10.5281/zenodo.2604738. Inder J. Taneja, Semi-Selfie Numbers, https://inderjtaneja.com/2017/07/11/semi-selfie-numbers/

172nd Day of Year: 21.06.19

References: I.J. Taneja, Same Digits Equalities Expressions, Zenodo, February 19, 2019, pp. 1-182, http://doi.org/10.5281/zenodo.2573194 I.J. Taneja, Crazy Representation of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ . I.J. Taneja, Permutable Power Minimum Length Representations of Natural Numbers from 0 to 20000, Zenodo, January, 30, 2019, pp. 1-288, http://doi.org/10.5281/zenodo.2553326

170th Day of Year: 19.06.19

References Inder J. Taneja, Factorial-Power Selfie Expressions, Zenodo, February 20, 2019, pp. 1-115, http://doi.org/10.5281/zenodo.2573569 Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, pp. 1-510, http://doi.org/10.5281/zenodo.2538893. Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, pp. 1-510, http://doi.org/10.5281/zenodo.2538897. Inder J. Taneja, Single … Continue reading 170th Day of Year: 19.06.19

169th Day of Year: 18.06.19

References I.J. Taneja, Palindromic, Patterned Magic Sums, Composite, and Colored Patterns in Magic Squares. Zenodo, February 2, 2019, pp. 1-99,   http://doi.org/10.5281/zenodo.2555741. I.J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203,   http://doi.org/10.5281/zenodo.2556902

168th Day of Year: 17.06.19

References Inder J. Taneja, Semi-Selfie Numbers, Semi-Selfie Numbers,  Zenodo, February 12, 2019, pp. 1-394, http://doi.org/10.5281/zenodo.2562390 I. J. Taneja, Patterns in Prime Numbers: Fixed Digits Repetitions,   https://inderjtaneja.com/2017/07/14/fixed-length-multiple-choice-patterns-in-prime-numbers/ I. J. Taneja, Fixed Digits Repetitions Prime Patterns of Lengths 10, 9 and 8. Zenodo, February 8, 2019, pp. 1-175,  http://doi.org/10.5281/zenodo.2560640. I. J. Taneja, Fixed Digits Repetitions Prime Patterns of … Continue reading 168th Day of Year: 17.06.19

Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences

The idea of nested magic squares is well known in the literature, generally known by bordered magic squares. Instead, considering entries as consecutive numbers, we considered consecutive odd numbers entries. This gives us perfect square sum magic squares. We worked with magic squares of orders 3 to 25. Finally, the result can be written in … Continue reading Nested Magic Squares With Perfect Square Sums, Pythagorean Triples, and Borders Differences

166th Day of Year: 15.06.19

References I.J. Taneja, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260, http://doi.org/10.5281/zenodo.2604531. I.J. Taneja, Semi-Selfie Numbers, Zenodo, February 12, 2019, pp. 1-394, http://doi.org/10.5281/zenodo.2562390. I.J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. 1-203,  http://doi.org/10.5281/zenodo.2556902.

165th Day of Year: 14.06.19

References I.J. Taneja, Fixed and Flexible Powers Narcissistic Numbers with Division,Zenodo, February 19, 2019, pp. 1-142, http://doi.org/10.5281/zenodo.2573047. I.J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53,  http://doi.org/10.5281/zenodo.2544527. I. J. Taneja, Semi-Selfie Numbers, https://inderjtaneja.com/2017/07/11/semi-selfie-numbers/.