Recreating Numbers and Magic Squares

Publications

Work on Recreation of Numbers

ByInder J. Taneja

Feb 13, 2022

1. General

  1. Inder J. Taneja, 2019 In Numbers, Zenodo, December 31, 2019, pp. 1-27, http://doi.org/10.5281/zenodo.2529103.
  2. Inder J. Taneja, 2020 In Numbers: Mathematical Style, Zenodo, December 31, 2019, pp. 1-37, http://doi.org/10.5281/zenodo.3596193.
  3. Inder J. Taneja, Factorial-Type Numerical Calendar, Zenodo, March 24, 2020, pp. 1-33, http://doi.org/10.5281/zenodo.3726335.
  4. Inder J. Taneja, Factorial-Type Numerical Calender 2021, Zenodo, December 16, 2020, pp. 1-31, http://doi.org/10.5281/zenodo.4329889.
  5. Inder J. Taneja, 21 Mathematical Highlights for 2021, Zenodo, December 26, 2020, pp. 1-75, http://doi.org/10.5281/zenodo.4394408.
  6. Inder J. Taneja, Geometrical, Numerical, and Symmetrical Representations for the Days of 2020, Zenodo, October 04, 2020, pp. 1-201, http://doi.org/10.5281/zenodo.4065069.
  7. Inder J. Taneja, Hardy-Ramanujan Number – 1729, Zenodo, December 22, 2021, pp. 1-106, https://doi.org/10.5281/zenodo.5799640.
  8. Inder J. Taneja, Mathematical Beauty of 2022, Zenodo, December 26, 2021, pp. 1-78, https://doi.org/10.5281/zenodo.5805264.
  9. Inder J. Taneja, 23 and 2023 in Numbers and Patterns, Zenodo, December 22, 2022, pp. 1-51, https://doi.org/10.5281/zenodo.7473340.
  10. Inder J. Taneja, Mathematical Representations of the Last Day of the Year 23 Written American Style: 12.31.23 (123123), Zenodo, December 19, 2023, pp. 1-13, https://doi.org/10.5281/zenodo.10405771.
  11. Inder J. Taneja, Mathematical Aspects of 24 and 2024, Zenodo, December 19, 2023, pp. 1-40, https://doi.org/10.5281/zenodo.10406530.

2. Crazy Representations: Increasing and Decreasing Orders

Numbers from 0 to 300.000

  1. Inder J. Taneja, Crazy Sequential Representation: Numbers from 0 to 11111 in terms of Increasing and Decreasing Orders of 1 to 9, Jan. 2014, pp.1-161, http://arxiv.org/abs/1302.1479.
    Site link: Crazy Representations of Natural Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem.
  2. Inder J. Taneja, Crazy Representations of Natural Numbers From 11112 to 20000, Zenodo, January 18, 2019, pp. 1-224, http://doi.org/10.5281/zenodo.2543626.
  3. Inder J. Taneja, Crazy Representations of Natural Numbers From 20001 to 40000, Zenodo, November 03, 2021, pp. 1-541, https://doi.org/10.5281/zenodo.5642776.
  4. Inder J. Taneja, Crazy Representations of Natural Numbers From 40001 to 60000, Zenodo, November 03, 2021, pp. 1-541, https://doi.org/10.5281/zenodo.5642826.
  5. Inder J. Taneja, Crazy Representations of Natural Numbers From 60001 to 80000, Zenodo, November 03, 2021, pp. 1-537, https://doi.org/10.5281/zenodo.5642896.
  6. Inder J. Taneja, Crazy Representations of Natural Numbers From 80001 to 100000, Zenodo, November 03, 2021, pp. 1-533, https://doi.org/10.5281/zenodo.5642929.
  7. Inder J. Taneja, Crazy Representations of Natural Numbers from 100001 to 120000, Zenodo, December 11, 2021, pp. 1-527, https://doi.org/10.5281/zenodo.5773381.
  8. Inder J. Taneja, Crazy Representations of Natural Numbers from 120001 to 140000, Zenodo, December 11, 2021, pp. 1-524, https://doi.org/10.5281/zenodo.5773384.
  9. Inder J. Taneja, Crazy Representations of Natural Numbers from 140001 to 160000, Zenodo, December 11, 2021, pp. 1-526, https://doi.org/10.5281/zenodo.5773386.
  10. Inder J. Taneja, Crazy Representations of Natural Numbers from 160000 to 180000, Zenodo, December 11, 2021, pp. 1-521, https://doi.org/10.5281/zenodo.5773388.
  11. Inder J. Taneja, Crazy Representations of Natural Numbers from 180000 to 200000, Zenodo, December 11, 2021, pp. 1-526, https://doi.org/10.5281/zenodo.5773390.
  12. Inder J. Taneja, Crazy Representations of Natural Numbers from 200001 to 220000, Zenodo, January 08, 2022, pp. 1-529, https://doi.org/10.5281/zenodo.5831196
  13. Inder J. Taneja, Crazy Representations of Natural Numbers from 220001 to 240000, Zenodo, January 08, 2022, pp. 1-534, https://doi.org/10.5281/zenodo.5831198
  14. Inder J. Taneja, Crazy Representations of Natural Numbers from 240001 to 260000, Zenodo, January 08, 2022, pp. 1-532, https://doi.org/10.5281/zenodo.5831200
  15. Inder J. Taneja, Crazy Representations of Natural Numbers from 260001 to 280000, Zenodo, January 08, 2022, pp. 1-537, https://doi.org/10.5281/zenodo.5831206
  16. Inder J. Taneja, Crazy Representations of Natural Numbers from 280001 to 300000, Zenodo, January 08, 2022, pp. 1-535, https://doi.org/10.5281/zenodo.5831208.

Non-Sequential Numbers Representations

  1. Inder J. Taneja, Representation of Numbers from 1 to 10000 in Terms of Palindromic Digits 2022-2202, Zenodo, January 02, 2022, pp. 1-238, https://doi.org/10.5281/zenodo.5813778.
  2. Inder J. Taneja, Representation of Numbers from 1 to 20000 in Terms of Palindromic Digits 1357-9-7531, Zenodo, January 06, 2022, pp. 1-266, https://doi.org/10.5281/zenodo.5826240.
  3. Inder J. Taneja, Hardy-Ramanujan Number – 1729, Zenodo, December 22, 2021, pp. 1-106, https://doi.org/10.5281/zenodo.5799640.

Different Types Functions Representations

  1. Inder J. Taneja, Crazy Representations of Natural Numbers 0 to 10000 Using Triangular Numbers, Zenodo, pp. 1-259, 2024, https://doi.org/10.5281/zenodo.10516039
  2. Inder J. Taneja, Crazy Representations of Natural Numbers from 0 to 10000 Using Fibonacci Sequence Values, Zenodo, pp. 1-261, 2024, https://doi.org/10.5281/zenodo.10501468
  3. Inder J. Taneja, Crazy Representations of Natural Numbers from 0 to 10000 Using Square Function, Zenodo, March 28, 2024, pp. 1- 259, https://doi.org/10.5281/zenodo.10892480.
  4. Inder J. Taneja, Crazy Representations of Natural Numbers from 0 to 10000 Using Cubic Function, Zenodo, March 30, 2024, pp. 1-259, https://doi.org/10.5281/zenodo.10899695.

Different Kind of Representations

  1. Inder J. Taneja, Natural Numbers From 1 to 20000 in Terms of Fibonacci Sequence and Triangular Numbers. Zenodo, February 3, 2019, pp. 1-491, http://doi.org/10.5281/zenodo.2575093.

3. Permutable Bases and Powers Representations

  1. Inder J. Taneja, Crazy Power Representations of Natural Numbers, RGMIA Research Report Collection, 19(2016), Art. 31, pp.1-71, http://rgmia.org/papers/v19/v19a31.pdf.
  2. Inder J. Taneja, Flexible Power Representations of Natural Numbers, RGMIA Research Report Collection,19(2016), Art 131, pp. 1-91, http://rgmia.org/papers/v19/v19a131.pdf.
  3. Inder J. Taneja, Pyramidical Representations of Natural Numbers, RGMIA Research Report Collection, 19(2016), pp.1-95, Art 58, http://rgmia.org/papers/v19/v19a58.pdf. 
    Site link: Pyramidical-Type Representations of Natural Numbers, https://inderjtaneja.wordpress.com/2017/08/20/pyramidical-type-representations-of-natural-numbers.
  4. Inder J. Taneja, All Digits Flexible Power Representations of Natural Numbers From 11112 to 30000, Zenodo, January 14, 2019, pp. 1-140, http://doi.org/10.5281/zenodo.2539203.
  5. Inder J. Taneja, All Digits Flexible Power Representations of Natural Numbers From 30001 to 50000, Zenodo , January 14, 2019, pp. 1-147, http://doi.org/10.5281/zenodo.2539412.
    Site link: Flexible Power Representations: Equal String Lengths, https://inderjtanejawordpress.com/2017/08/20/flexible-power-representations-equal-string-lengths.
  6. Inder 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.
  7. Inder J. Taneja, Pyramid-Type Representations of Natural Numbers, Zenodo, February 5, 2020, pp. 1-213, http://doi.org/10.5281/zenodo.3637662.
  8. Inder J. Taneja, Pyramid-Type Representations of Natural Numbers from 1001 to 10000, Zenodo, January 16, 2024, pp. 1-585, http://doi.org/10.5281/zenodo.10520278.

4. Running Expressions: Sequential Representations

  1. Inder J. Taneja, Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs, RGMIA Research Report Collection, 18(2015), Article 27, pp.1-54, http://rgmia.org/papers/v18/v18a27.pdf.
  2. Inder J. Taneja, Running Expressions with Equalities: Increasing and Decreasing Orders – I, RGMIA Research Report Collection, 20(2017), Art. 33, pp.1-57, http://rgmia.org/papers/v20/v20a33.pdf.
  3. Inder J. Taneja, Running Expressions with Equalities: Increasing and Decreasing Orders – II, RGMIA Research Report Collection, 20(2017), Art. 34, pp.1-87, http://rgmia.org/papers/v20/v20a34.pdf.
  4. Inder J. Taneja, Fibonacci Sequence and Running Expressions with Equalities – I, RGMIA Research Report Collection, 20(2017), Art. 35, pp. 1-83, http://rgmia.org/papers/v20/v20a35.pdf.
  5. Inder J. Taneja, Running Expressions with Triangular Numbers – I, Zenodo, December 21, 2018, http://doi.org/10.5281/zenodo.2483327.
  6. Inder J. Taneja, Crazy Running Equality Expressions with Factorial and Square-Root, Zenodo, December 06, 2021, pp. 1-464, https://doi.org/10.5281/zenodo.5761752.

5. Single Digit and Letter Representations

Single Digit

  1. Inder J. Taneja, Single Digit Representations of Natural Numbers, Feb. 1015, pp.1-55, http://arxiv.org/abs/1502.03501.
    Site link: Single Digits Representations of Numbers from 1 to 20000, https://inderjtaneja.com/2019/01/01/single-letter-representations-of-numbers-from-1-to-20000.
  2. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893.
  3. Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897.
  4. Inder J. Taneja, Single Digit Representations of Numbers From 10001 to 15000, Zenodo, January, 26, 2019, pp. 1-510, http://doi.org/10.5281/zenodo.2550414.
  5. Inder J. Taneja, Single Digit Representations of Numbers From 15001 to 20000, Zenodo, January, 26, 2019, pp. 1-510, http://doi.org/10.5281/zenodo.2550440.
  6. Inder J. Taneja, Patterned Single Digits Representations of Natural Numbers, Zenodo, July 04, 2020, pp. 1-590, http://doi.org/10.5281/zenodo.3930382.
  7. Inder J. Taneja, Single Digit Representations of Natural Numbers From 20001 to 30000, Zenodo, March 21, 2022, pp. 1-1271, https://doi.org/10.5281/zenodo.6373774.
  8. Inder J. Taneja, Single Digit Representations of Natural Numbers From 30001 to 40000, Zenodo, March 23, 2022, pp. 1-1269, https://doi.org/10.5281/zenodo.6379827.
  9. Inder J. Taneja, Single Digit Representations of Natural Numbers From 40001 to 50000, Zenodo, March 23, 2022, pp. 1-1268, https://doi.org/10.5281/zenodo.6379875.

Single Letter

  1. 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.
    Site link: Single Letter Representations of Natural Numbers, https://inderjtaneja.com/2017/08/19/single-letter-representations-of-natural-numbers.
  2. Inder J. Taneja, Single Letter Representations of Natural Numbers from 1 to 11111, Zenodo, February 5, 2019, pp. 1-133, http://doi.org/10.5281/zenodo.2557025.
  3. Inder J. Taneja, Single Letter Patterned Representations and Fibonacci Sequence Values, Zenodo, February 6, 2019, pp. 1-40, http://doi.org/10.5281/zenodo.2558522.
  4. Inder J. Taneja, Patterned Single Letter Representations of Natural Numbers, Zenodo, July 02, 2020, pp. 1-110, http://doi.org/10.5281/zenodo.3928507.

6. Narcissistic-Type

  1. Inder J. Taneja, Flexible Powers Narcissistic-Type Numbers, Zenodo, February 19, 2019, pp. 1-126, http://doi.org/10.5281/zenodo.2572770.
  2. Inder J. Taneja, Fixed and Flexible Powers Narcissistic Numbers with Division, Zenodo, February 19, 2019, pp. 1-142, http://doi.org/10.5281/zenodo.2573047.
  3. Inder J. Taneja, Fixed and Flexible Powers Narcissistic Numbers with Division (revised), Zenodo, May 11, 2020, pp. 1-201, http://doi.org/10.5281/zenodo.3820428.
  4. Inder J. Taneja, Unified Study of Narcissistic Numbers without and with Division, \textbf{Zenodo}, Feb. 15, 2024, pp. 1-353, http://doi.org/10.5281/zenodo.10662872.

7. Selfie Expressions

  1. Inder J. Taneja, Same Digits Equalities Expressions, Zenodo, February 19, 2019, pp. 1-182, http://doi.org/10.5281/zenodo.2573194.
  2. Inder J. Taneja, Factorial-Power Selfie Expressions, Zenodo, February 20, 2019, pp. 1-115, http://doi.org/10.5281/zenodo.2573569.
  3. Inder J. Taneja, Selfie Expressions with Factorial, Fibonacci and Triangular Values, Zenodo, February 20, 2019, pp. 1-180, http://doi.org/10.5281/zenodo.2574151.
  4. Inder J. Taneja, Same Digits Equality Expressions: Power and Plus, Zenodo, January 03, 2020, 2019, pp. 1-1729, http://doi.org/10.5281/zenodo.3597506.

8. Selfie Numbers

Permutable, Basic Operations, Factorial and Square-Root

  1. Inder J. Taneja, Permutable Powers Selfie Numbers, Zenodo, February 15, 2019, pp. 1-227, http://doi.org/10.5281/zenodo.2566445.
  2. Inder J. Taneja, Selfie Numbers: Basic Operations, Zenodo, March 26, 2019, pp. 1-134, http://doi.org/10.5281/zenodo.2609143.
  3. Inder J. Taneja, Factorial-Type Selfie Numbers in Digit’s Order, Zenodo, March 06, 2019, pp. 1-243, http://doi.org/10.5281/zenodo.2585586.
  4. Inder J. Taneja, Factorial-Type Selfie Numbers in Reverse Order of Digits, Zenodo, March 06, 2019, pp. 1-227, http://doi.org/10.5281/zenodo.2585599.
  5. Inder J. Taneja, Square-Root Type Selfie Numbers, Zenodo, July 06, 2019, pp. 1-248, http://doi.org/10.5281/zenodo.3352388.

Fibonacci and Triangular Numbers

  1. Inder J. Taneja, Fibonacci Sequence and Selfie Numbers, Zenodo, February 19, 2019, pp. 1-233, http://doi.org/10.5281/zenodo.2572044.
  2. Inder J. Taneja, Triangular-Type Selfie Numbers, Zenodo, February 17, 2019, pp. 1-91   http://doi.org/10.5281/zenodo.2567571.
  3. Inder J. Taneja, Simultaneous Representations of Selfie Numbers in Terms of Fibonacci and Triangular Numbers, Zenodo, February 19, 2019, pp. 1-233, http://doi.org/10.5281/zenodo.2574136.
  4. Inder J. Taneja, Triangular-Type Selfie Numbers: Digit’s Order, Zenodo, April 11, 2019, pp. 1-240, http://doi.org/10.5281/zenodo.2636787.
  5. Inder J. Taneja, Triangular-Type Selfie Numbers: Reverse Order of Digits, Zenodo, April 14, 2019, pp. 1-249, http://doi.org/10.5281/zenodo.2639099.
  6. Inder J. Taneja, Fibonacci Sequence Type Selfie Numbers: Basic Operations,  Zenodo, April 28, 2019, pp. 1-163, http://doi.org/10.5281/zenodo.2653093.
  7. Inder J. Taneja, Fibonacci Sequence Type Selfie Numbers with Square-Root, Zenodo, October 10, 2019, pp. 1-206, http://doi.org/10.5281/zenodo.3479255.
  8. Inder J. Taneja, Fibonacci Sequence Type Selfie Numbers with Factorial: Digit’s Order, Zenodo, October 13, 2019, pp. 1-692, http://doi.org/10.5281/zenodo.3484117.
  9. Inder J. Taneja, Fibonacci Sequence Type Selfie Numbers with Factorial: Reverse Order of Digits, Zenodo, October 13, 2019, pp. 1-742, http://doi.org/10.5281/zenodo.3484119.

Binomial Coefficients

  1. Inder J. Taneja, Selfie Numbers with Binomial Coefficients, Zenodo, March 17, 2019, pp. 1-131, http://doi.org/10.5281/zenodo.2596421.
  2. Inder J. Taneja, Selfie Numbers with Binomial Coefficients and Fibonacci Numbers. Zenodo, March 30, 2019, pp. 1-148, http://doi.org/10.5281/zenodo.2617290.
  3. Inder J. Taneja, Binomial Coefficients Triangular Type Selfie Numbers: Basic Operations, Zenodo, April 25, 2019, pp. 1-72, http://doi.org/10.5281/zenodo.2650508.
  4. Inder J. Taneja, Selfie Numbers with Binomial Coefficients, Triangular Numbers and Square-Root,  Zenodo, May 10, 2019, pp. 1-209, http://doi.org/10.5281/zenodo.2707318.
  5. Inder J. Taneja, Selfie Numbers with Binomial Coefficients, Triangular Numbers and Factorial, Zenodo, July 09, 2019, pp. 1-172, http://doi.org/10.5281/zenodo.3273300.

Quadratic and Cubic

  1. Inder J. Taneja, Quadratic-Type Selfie Numbers, Zenodo, February 25, 2019, pp. 1-315, http://doi.org/10.5281/zenodo.2577472.
  2. Inder J. Taneja, Cubic-Type Selfie Numbers, Zenodo, March 12, 2019, pp. 1-150, http://doi.org/10.5281/zenodo.2591257.

Concatenation-Type

  1. Inder J. Taneja, Concatenation-Type Selfie Numbers with Factorial and Square-Root, Zenodo, March 08, 2019, pp. 1-43, http://doi.org/10.5281/zenodo.2587751.

Multiple Representations

  1. Inder J. Taneja, Multiple Representations of Selfie Numbers – I, Zenodo, February 08, 2024, pp. 1-108, https://doi.org/10.5281/zenodo.10633471.
  2. Inder J. Taneja, Multiple Representations of Selfie Numbers – II, Zenodo, April 15, 2024, pp. 1-284, https://doi.org/10.5281/zenodo.10974798.
  3. Inder J. Taneja, Multiple Choice Patterns in Selfie Numbers – I, Zenodo, 2024, April 15, pp. 1-85, http://doi.org/10.5281/zenodo.10972221.

9. Semi-Selfie Numbers

  1. Inder J. Taneja, Semi-Selfie Numbers, Zenodo, February 12, 2019, pp. 1-394, http://doi.org/10.5281/zenodo.2562390.
  2. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130, http://doi.org/10.5281/zenodo.3338366.
  3. Inder J. Taneja, Patterns in Selfie and Semi-Selfie Numbers, Zenodo, February 6, 2019, pp. 1-51 http://doi.org/10.5281/zenodo.2563202.

10. Selfie Fractions

  1. Inder J. Taneja, Selfie Fractions: Addable, Subtractable, Dottable and Potentiable, Zenodo, March 24, 2019, pp. 1-260, http://doi.org/10.5281/zenodo.2604531.
  2. Inder J. Taneja, Pandigital Equivalent Selfie Fractions, Zenodo, April 02, 2019, pp. 1-392, http://doi.org/10.5281/zenodo.2622028.
  3. Inder J. Taneja, Repeated Digits Selfie Fractions: Two- and Three-Digits Numerators, Zenodo, September 12, 2019, pp. 1-1091, http://doi.org/10.5281/zenodo.3406655.
  4. Inder J. Taneja, Different Digits Selfie Fractions: Two- and Three-Digits Numerators, Zenodo, September 12, 2019, pp. 1-337, http://doi.org/10.5281/zenodo.3474091
  5. Inder J. Taneja, Different Digits Selfie Fractions: Four Digits Numerator, Zenodo, October 06, 2019, pp. 1-844, http://doi.org/10.5281/zenodo.3474267.
  6. Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, http://doi.org/10.5281/zenodo.3520096.
  7. Inder J. Taneja, Different Digits Selfie Fractions: Five Digits Numerator – Pandigital, Zenodo, October 06, 2019, pp. 1-362, http://doi.org/10.5281/zenodo.3474379.
  8. Inder J. Taneja, Patterns in Splitted Selfie Fractions, Zenodo, July 30, 2023, pp. 1-122, http://doi.org/10.5281/zenodo.8197701

11. Equivalent Fractions

  1. Inder J. Taneja, Different Digits Equivalent Fractions – I, Zenodo, March 24, 2019, pp. 1-165, http://doi.org/10.5281/zenodo.2604565.
  2. Inder J. Taneja, Different Digits Equivalent Fractions – II, Zenodo, March 24, 2019, pp. 1-244, http://doi.org/10.5281/zenodo.2604738.
  3. Inder J. Taneja, Different Digits Equivalent Fractions: Single Digit Numerator, Zenodo, November 15, 2019, pp. 1-794, http://doi.org/10.5281/zenodo.3543532.
  4. Inder J. Taneja, Different Digits Equivalent Fractions: Two Digits Numerator, Zenodo, November 15, 2019, pp. 1-794, http://doi.org/10.5281/zenodo.3543752.
  5. Inder J. Taneja, Different Digits Equivalent Fractions: Three Digits Numerator, Zenodo, November 19, 2019, pp. 1-1014, http://doi.org/10.5281/zenodo.3547874.

12. Amicable Numbers

  1. Inder J. Taneja, Amicable Numbers with Patterns in Products and Powers, Zenodo, March 05, 2019, pp. 1-25, http://doi.org/10.5281/zenodo.2583306.

13. Palindromic-Type Representations

  1. Inder J. Taneja, Palindromic-Type Palindromes – I, Zenodo, January 15, 2019, pp. 1-99 http://doi.org/10.5281/zenodo.2541174.
  2. Inder J. Taneja, Palindromic-Type Non-Palindromes – I, Zenodo, January 15, 2019, pp. 1-117, http://doi.org/10.5281/zenodo.2541187.
  3. Inder J. Taneja, Palindromic-Type Squared Expressions with Palindromic and Non-Palindromic Sums – I,  Zenodo, January 15, 2019, pp. 1-133, http://doi.org/10.5281/zenodo.2541198.

14. Pythagorean Triples

  1. 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.
  2. Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53, http://doi.org/10.5281/zenodo.2544527
  3. Inder J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples, Zenodo, January 20, 2019, pp. 1-160, http://doi.org/10.5281/zenodo.2544551.
  4. Inder J. Taneja, Generating Pythagorean Triples, Patterns, and Magic Squares, Zenodo, January 20, 2019, pp. 1-121, http://doi.org/10.5281/zenodo.2544555.
  5. Inder J. Taneja, Patterns in Pythagorean Triples, Zenodo, March 13, 1-136, 2021, http://doi.org/10.5281/zenodo.4603197.
  6. Inder J. Taneja, Pandigital-Type and Pythagorean Triples Patterns, Zenodo, March 17, 1-750, http://doi.org/10.5281/zenodo.4611511.

15. Prime Numbers

Fixed Digits Repetitions

  1. Inder 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
  2. Inder J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 7, Zenodo, February 8, 2019, pp. 1-176, http://doi.org/10.5281/zenodo.2560668.
  3. Inder J. Taneja, Fixed Digits Repetitions Prime Patterns of Length 6. Zenodo, February 9, 2019, pp. 1-303, http://doi.org/10.5281/zenodo.2561096.
  4. Inder J. Taneja, Prime Numbers in Fixed Digits Repetitions Prime Patterns, Zenodo, November 10, 2020, pp. 1-280, http://doi.org/10.5281/zenodo.4265818.
  5. Inder J. Taneja, 4-Digits Prime Numbers in Fixed Digits Repetition Prime Patterns, Zenodo, November 29, 2020, pp. 1-1544, http://doi.org/10.5281/zenodo.4295652.
  6. Inder J. Taneja, Fixed Digits Repetitions Prime Patterns for 5-Digits Prime Numbers, Zenodo, January 17, 2021, pp. 1-2069, http://doi.org/10.5281/zenodo.4445395.

Magic Square Type Palindromic Primes

  1. Inder J. Taneja, Magic Squares Type Palprimes of Orders 5×5, 7×7 and 9×9, Zenodo, February 27, 2019, pp. 1-143, http://doi.org/10.5281/zenodo.2578443.
  2. Inder J. Taneja, Same Digits Embedded Palprimes of Lengths 3, 5 and 7, Zenodo, August 08, 2020, pp. 1-315, http://doi.org/10.5281/zenodo.3977028.
  3. Inder J. Taneja, 3 and 5-Digits Multiple Choice Embedded Palprimes, Zenodo, December 05, 2020, pp. 1-511, http://doi.org/10.5281/zenodo.4307875.

Prime Numbers in Prime Numbers

  1. Inder J. Taneja, Prime Numbers in Prime Numbers Up To 5 Digits, Zenodo, July 16, 2019, pp. 1-265, http://doi.org/10.5281/zenodo.3338679.

16. Power Expressions

  1. Inder J. Taneja, Multiple Choice Power Expressions, Zenodo, February 15, 2019, pp. 1-143, http://doi.org/10.5281/zenodo.2565729.

17. Patterns in Numbers

  1. Inder J. Taneja, Amicable Numbers with Patterns in Products and Powers, Zenodo, March 05, 2019, pp. 1-25, http://doi.org/10.5281/zenodo.2583306.
  2. Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, http://doi.org/10.5281/zenodo.3520096.
  3. Inder J. Taneja, Patterns in Selfie and Semi-Selfie Numbers, Zenodo, February 6, 2019, pp. 1-51 http://doi.org/10.5281/zenodo.2563202.
  4. Inder J. Taneja, Single Letter Patterned Representations and Fibonacci Sequence Values, Zenodo, Feb 06, 2019, 1-40, https://doi.org/10.5281/zenodo.2558522.
  5. Inder J. Taneja, Patterned Single Digits Representations of Natural Numbers, Zenodo, July 04, 2020, pp. 1-590, http://doi.org/10.5281/zenodo.3930382.
  6. Inder J. Taneja, Patterned Single Letter Representations of Natural Numbers, Zenodo, July 02, 2020, pp. 1-110, http://doi.org/10.5281/zenodo.3928507.
  7. Inder J. Taneja, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, http://doi.org/10.5281/zenodo.3520096.
  8. Inder J. Taneja, Patterns in Splitted Selfie Fractions, Zenodo, July 30, 2023, pp. 1-122, http://doi.org/10.5281/zenodo.8197701
  9. Inder J. Taneja, Patterns in Selfie Numbers – I, Zenodo, 2024, February 10, pp. 1-26, https://doi.org/10.5281/zenodo.10674570.
  10. 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.
  11. Inder J. Taneja, Multiple-Type Patterns and Pythagorean Triples, Zenodo, January 19, 2019, pp.1-53, http://doi.org/10.5281/zenodo.2544527
  12. Inder J. Taneja, Palindromic-Type Pandigital Patterns in Pythagorean Triples, Zenodo, January 20, 2019, pp. 1-160, http://doi.org/10.5281/zenodo.2544551.
  13. Inder J. Taneja, Generating Pythagorean Triples, Patterns, and Magic Squares, Zenodo, January 20, 2019, pp. 1-121, http://doi.org/10.5281/zenodo.2544555.
  14. Inder J. Taneja, Patterns in Pythagorean Triples, Zenodo, March 13, 1-136, 2021, http://doi.org/10.5281/zenodo.4603197.
  15. Inder J. Taneja, Pandigital-Type and Pythagorean Triples Patterns, Zenodo, March 17, 1-750, http://doi.org/10.5281/zenodo.4611511.
  16. Inder J. Taneja, Inder J. Taneja}, Multiple Choice Patterns in Selfie Numbers – I, Zenodo, 2024, April 15, pp. 1-85, http://doi.org/10.5281/zenodo.10972221.

All the work given in this part of “patterns in numbers” is repeated from other works given in previous parts. These are written here to give importance to pattened work on numbers.

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