60th to 63rd Days of Year: 01.03.23 to 04.02.23 – Single Digits Representations and Pythagorean Triples Patterns

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897Continue reading 60th to 63rd Days of Year: 01.03.23 to 04.02.23 – Single Digits Representations and Pythagorean Triples Patterns

56th to 59th Days of Year: 25.02.23 to 28.02.23 – Single Digits and Semi-Selfie Representations

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897Continue reading 56th to 59th Days of Year: 25.02.23 to 28.02.23 – Single Digits and Semi-Selfie Representations

52nd to 55th Days of Year: 21.02.23 to 24.02.23 – Single Digits and Semi-Selfie Representations

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897Continue reading 52nd to 55th Days of Year: 21.02.23 to 24.02.23 – Single Digits and Semi-Selfie Representations

48th to 51st Days of Year: 17.02.23 to 20.02.23 – Single Digits and Semi-Selfie Representations

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897 Inder … Continue reading 48th to 51st Days of Year: 17.02.23 to 20.02.23 – Single Digits and Semi-Selfie Representations

44th to 47th Days of Year: 13.02.23 to 16.02.23 – Single Digits and Semi-Selfie Representations

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897 Inder … Continue reading 44th to 47th Days of Year: 13.02.23 to 16.02.23 – Single Digits and Semi-Selfie Representations

40th to 43rd Days of Year: 09.02.23 to 12.02.23 – Single Digits and Semi-Selfie Representations

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897 Inder … Continue reading 40th to 43rd Days of Year: 09.02.23 to 12.02.23 – Single Digits and Semi-Selfie Representations

36th to 39th Days of Year: 05.02.23 to 08.02.23 – Single Digits and Semi-Selfie Representations

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897 Inder … Continue reading 36th to 39th Days of Year: 05.02.23 to 08.02.23 – Single Digits and Semi-Selfie Representations

32nd to 35th Days of Year: 01.02.23 to 04.02.23 – Single Digits and Semi-Selfie Representations

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000,Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897 Inder … Continue reading 32nd to 35th Days of Year: 01.02.23 to 04.02.23 – Single Digits and Semi-Selfie Representations

25th to 31st Days of Year: 25.01.23 to 31.01.23 – Crazy and Semi-Selfie Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 item Inder J. Taneja, Semi-Selfie Numbers, \textbf{Zenodo}, February 12, 2019, pp. 1-394, https://doi.org/10.5281/zenodo.2562390. Inder J. Taneja, Patterns in Selfie and Semi-Selfie … Continue reading 25th to 31st Days of Year: 25.01.23 to 31.01.23 – Crazy and Semi-Selfie Representations

23rd to 26th Days of Year: 23.01.23 to 26.01.23 – Single Digits and Single Letter Representations

References: Single Digits 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, … Continue reading 23rd to 26th Days of Year: 23.01.23 to 26.01.23 – Single Digits and Single Letter Representations

19th to 22nd Days of Year: 19.01.23 to 22.01.23 – Single Digits and Single Letter Representations

References: Single Digits 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, … Continue reading 19th to 22nd Days of Year: 19.01.23 to 22.01.23 – Single Digits and Single Letter Representations

17th to 24th Days of Year: 17.01.23 to 24.01.23 – Crazy and Semi-Selfie Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 item Inder J. Taneja, Semi-Selfie Numbers, \textbf{Zenodo}, February 12, 2019, pp. 1-394, https://doi.org/10.5281/zenodo.2562390. Inder J. Taneja, Patterns in Selfie and Semi-Selfie … Continue reading 17th to 24th Days of Year: 17.01.23 to 24.01.23 – Crazy and Semi-Selfie Representations

15th to 18th Days of Year: 15.01.23 to 18.01.23 – Single Digits and Single Letter Representations

References: Single Digits 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, … Continue reading 15th to 18th Days of Year: 15.01.23 to 18.01.23 – Single Digits and Single Letter Representations

11th to 16th Days of Year: 11.01.23 to 16.01.23 – Crazy and Semi-Selfie Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 item Inder J. Taneja, Semi-Selfie Numbers, \textbf{Zenodo}, February 12, 2019, pp. 1-394, https://doi.org/10.5281/zenodo.2562390. Inder J. Taneja, Patterns in Selfie and Semi-Selfie … Continue reading 11th to 16th Days of Year: 11.01.23 to 16.01.23 – Crazy and Semi-Selfie Representations

11th to 14th Days of Year: 11.01.23 to 14.01.23 – Single Digits and Single Letter Representations

References: Single Digits 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, … Continue reading 11th to 14th Days of Year: 11.01.23 to 14.01.23 – Single Digits and Single Letter Representations

23rd to 26th Days of Year: 23.01.23 to 26.01.23 – Single Digits and Single Letter Representations

References: Single Digits 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, … Continue reading 23rd to 26th Days of Year: 23.01.23 to 26.01.23 – Single Digits and Single Letter Representations

11th to 14th Days of Year: 11.01.23 to 14.01.23 – Single Digits Representations and Single Letter Patterns

References: 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. Inder J. Taneja, Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893 Inder J. Taneja, Single Digit Representations of Natural Numbers From 5001 to 10000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538897 Inder … Continue reading 11th to 14th Days of Year: 11.01.23 to 14.01.23 – Single Digits Representations and Single Letter Patterns

23 and 2023 in Numbers and Patterns

This work brings representations of 2023 in different ways. These representations are of crazy-type, running numbers, single digit, single letter, Triangular, Fibonacci, palindromic-type, prime numbers, embedded, repeated digits, colored patterns, magic squares, patterned designs, etc. This year the number 23 is a prime number. Let’s call it prime year. Below is a link of work for download:Inder J. … Continue reading 23 and 2023 in Numbers and Patterns

1st to 10th Days of Year: 01.01.23 to 10.01.23 – Crazy and Single Letter Representations

References: 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/ nder J. Taneja, Crazy Representations of Natural Numbers – The 10958 Problem nder J. Taneja, Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Patterns in Single Letter Representations of Natural Numbers

355th to 365th Days of Year: 21.12.22 to 31.12.22 – Crazy and Selfie Representations

References: 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/ Crazy Representations of Natural Numbers – The 10958 Problem Crazy Representations of Natural Numbers Using Factorial From 200001 to 300000 Inder J. Taneja, Fibonacci Sequence and Selfie Numbers, Zenodo, February 19, 2019, pp. 1-233, https://doi.org/10.5281/zenodo.2572044. Inder J. Taneja, Triangular-Type Selfie Numbers, … Continue reading 355th to 365th Days of Year: 21.12.22 to 31.12.22 – Crazy and Selfie Representations