146th to 151st Days of Year: 26.05.2023-31.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 143, 144 and 145 are represented by primes. References Inder J. Taneja, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ Inder J. Taneja, Same Digits Embedded Palprimes of Lengths 3, 5 and 7, Zenodo, August 08, 2020, pp. 1-315, https://doi.org/10.5281/zenodo.3977028. Inder J. Taneja, Prime Numbers in Fixed … Continue reading 146th to 151st Days of Year: 26.05.2023-31.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

143rd to 145th Days of Year: 23.05.2023-25.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 143, 144 and 145 are represented by primes. References Inder J. Taneja, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ Inder J. Taneja, Same Digits Embedded Palprimes of Lengths 3, 5 and 7, Zenodo, August 08, 2020, pp. 1-315, https://doi.org/10.5281/zenodo.3977028. Inder J. Taneja, Prime Numbers in Fixed … Continue reading 143rd to 145th Days of Year: 23.05.2023-25.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

140th to 142nd Days of Year: 20.05.2023-22.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 140, 141 and 142 are represented by primes. References Inder J. Taneja, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ Inder J. Taneja, Same Digits Embedded Palprimes of Lengths 3, 5 and 7, Zenodo, August 08, 2020, pp. 1-315, https://doi.org/10.5281/zenodo.3977028. Inder J. Taneja, Prime Numbers in Fixed … Continue reading 140th to 142nd Days of Year: 20.05.2023-22.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

135th to 139th Days of Year: 15.05.2023-19.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 135, 136, 137, 138 and 139 are represented by primes. References Inder J. Taneja, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/ Inder J. Taneja, Same Digits Embedded Palprimes of Lengths 3, 5 and 7, Zenodo, August 08, 2020, pp. 1-315, https://doi.org/10.5281/zenodo.3977028. Inder J. Taneja, Prime Numbers … Continue reading 135th to 139th Days of Year: 15.05.2023-19.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

131st to 134th Days of Year: 11.05.2023-14.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 131, 132, 133 and 134 are represented by primes. 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, Same Digits Embedded … Continue reading 131st to 134th Days of Year: 11.05.2023-14.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

127th to 130th Days of Year: 07.05.2023-10.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 127, 128, 129 and 130 are represented by primes. 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, Same Digits Embedded … Continue reading 127th to 130th Days of Year: 07.05.2023-10.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

124th to 126th Days of Year: 04.05.2023-06.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 124, 125 and 126 are represented by primes. 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, Same Digits Embedded Palprimes … Continue reading 124th to 126th Days of Year: 04.05.2023-06.05.2023 – Crazy Representations, Fixed Digit Repetitions and Embedded Prime Patterns

121st to 123rd Days of Year: 01.05.23-03.05.23 – Crazy Representations, Fixed Digits and Embedded Prime Patterns

Special on Prime Numbers: Each row in itens 2 and 3 are prime numbers. Numbers 121, 122 and 123 are represented by primes. 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, Same Digits Embedded Palprimes … Continue reading 121st to 123rd Days of Year: 01.05.23-03.05.23 – Crazy Representations, Fixed Digits and Embedded Prime Patterns

Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24

For the first time in history, this work brings a new kind of bordered magic squares. These are multiples of 4 starting from order 8. These are based on magic rectangles of order 2 × 4. These kinds we call as two digits bordered magic squares. This part, work is for the magic squares of … Continue reading Two Digits Bordered Magic Squares Multiples of 4: Orders 8 to 24

115th to 120th Days of Year: 25.04.23-30.04.23 – Crazy, Selfie-Fractions 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, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  https://doi.org/10.5281/zenodo.3520096. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  https://doi.org/10.5281/zenodo.3338366.

109th to 114th Days of Year: 19.04.23-24.04.23 – Crazy, Selfie-Fractions 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, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  https://doi.org/10.5281/zenodo.3520096. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  https://doi.org/10.5281/zenodo.3338366.

103rd to 108th Days of Year: 13.04.23-18.04.23 – Crazy, Selfie-Fractions 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, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, https://doi.org/10.5281/zenodo.3520096. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  https://doi.org/10.5281/zenodo.3338366.

8000+ Magic Squares of Order 22 in Different Styles, Models and Designs

This work brings 8071 magic squares of order 22. Whole the work is based on small blocks of magic squares, bordered magic squares, bordered magic rectangles, etc. In order to construct these magic squares, the idea of possible combinations is considered. The mais aspect lies in two facts as given below: Using small blocks of bordered … Continue reading 8000+ Magic Squares of Order 22 in Different Styles, Models and Designs

97th to 102nd Days of Year: 07.04.23-12.04.23 – Crazy, Selfie-Fractions 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, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267, https://doi.org/10.5281/zenodo.3520096. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  https://doi.org/10.5281/zenodo.3338366.

91st to 96th Days of Year: 01.04.23-06.04.23 – Crazy, Selfie-Fractions 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, Patterned Selfie Fractions, Zenodo, October 27, 2019, pp. 1-267,  https://doi.org/10.5281/zenodo.3520096. Inder J. Taneja, Power-Type Semi-Selfie Numbers and Patterns, Zenodo, July 16, 2019, pp. 1-130,  https://doi.org/10.5281/zenodo.3338366.

88th to 90th Days of Year: 29.03.23 to 31.03.23 – 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.2538897 … Continue reading 88th to 90th Days of Year: 29.03.23 to 31.03.23 – Single Digits Representations and Pythagorean Triples Patterns

84th to 87th Days of Year: 25.03.23 to 28.03.23 – Single Digits, Semi Selfie, Pythagorean Triples 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 … Continue reading 84th to 87th Days of Year: 25.03.23 to 28.03.23 – Single Digits, Semi Selfie, Pythagorean Triples Representations

80th to 83rd Days of Year: 21.03.23 to 24.03.23 – 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.2538897 … Continue reading 80th to 83rd Days of Year: 21.03.23 to 24.03.23 – Single Digits Representations and Pythagorean Triples Patterns

76th to 79th Days of Year: 17.03.23 to 20.03.23 – 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.2538897 … Continue reading 76th to 79th Days of Year: 17.03.23 to 20.03.23 – Single Digits Representations and Pythagorean Triples Patterns