183-192 Days of Year: 01.07.2020-10.07.2020: Geometrical and Factorial Type Representations

Reference: Inder J. Taneja, Factorial-Type Numerical Calendar, Zenodo, March 24, 2020, pp. 1-33,  http://doi.org/10.5281/zenodo.372633

183-192 Days of Year: 01.07.2020-10.07.2020 – Part 9: Crazy, Power and Factorial Type Representations

References: Inder J, Taneja, Crazy Representations of Numbers – The 10958 Problem, https://inderjtaneja.com/2018/11/16/crazy-representations-of-natural-numbers-the-10958-problem/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.pdfInder 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. Inder J. Taneja, Factorial-Type Numerical Calendar, Zenodo, … Continue reading 183-192 Days of Year: 01.07.2020-10.07.2020 – Part 9: Crazy, Power and Factorial Type Representations

183-192 Days of Year: 01.07.2020-10.07.2020 – Part 7: Narcissistic, Selfie, Semi-Selfie and Amicable Type Expressions

References: Inder J. Taneja, Amicable Numbers With Patterns in Products and Powers, Zenodo, March 05, 2019, pp. 1-25, http://doi.org/10.5281/zenodo.2583306Inder J. Taneja, Fibonacci Sequence and Selfie Numbers, Zenodo, February 19, 2019, pp. 1-233, http://doi.org/10.5281/zenodo.2572044.Inder J. Taneja, Triangular-Type Selfie Numbers, Zenodo, February 17, 2019, pp. 1-91, http://doi.org/10.5281/zenodo.2567571.Inder J. Taneja, Quadratic-Type Selfie Numbers, Zenodo, February 25, 2019, pp. … Continue reading 183-192 Days of Year: 01.07.2020-10.07.2020 – Part 7: Narcissistic, Selfie, Semi-Selfie and Amicable Type Expressions

183-192 Days of Year: 01.07.2020-10.07.2020 – Part 6: Fixed Digits Repetitions Prime Patterns

References: 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.Inder J. Taneja. (2019). Fixed Digits Repetitions Prime Patterns of Length 7. Zenodo, February 8, 2019, pp. 1-176, http://doi.org/10.5281/zenodo.2560668.Inder J. Taneja. (2019). Fixed Digits Repetitions Prime Patterns of Length 6. Zenodo, February 9, 2019, … Continue reading 183-192 Days of Year: 01.07.2020-10.07.2020 – Part 6: Fixed Digits Repetitions Prime Patterns

183-192 Days of Year: 01.07.2020-10.07.2020 – Part 5: Embedded Palindromic Prime Numbers

References I.J. TANEJA, Embedded Palindromic Prime Numbers - I, RGMIA Research Report Collection, 20(2017), Art. 121, pp. 1-86, http://rgmia.org/papers/v20/v20a121.pdf. I.J. TANEJA, Palindromic Prime Embedded Trees, RGMIA Research Report Collection, 20(2017), Art. 124, pp. 1-14, http://rgmia.org/papers/v20/v20a124.pdf.Inder J. Taneja, https://inderjtaneja.com/2018/08/16/embedded-palprimes-with-10-palindromic-days-of-august-18/.

183-192 Days of Year: 01.07.2020-10.07.2020 – Part 4: Running Equality Expressions

References: Inder J. Taneja, Running Expressions in Increasing and Decreasing Orders of Natural Numbers Separated by Equality Signs, RGMIA Research Report Collection, 18(2015), Art. 27, pp.1-54, http://rgmia.org/papers/v18/v18a27.pdfInder 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.pdfInder J. Taneja, Running Expressions with Equalities: … Continue reading 183-192 Days of Year: 01.07.2020-10.07.2020 – Part 4: Running Equality Expressions

183-192 Days of Year: 01.07.2020-10.07.2020 – Part 2: Patterned Single Letter and Digits Representations

References: Inder J. Taneja. (2019). Single Digit Representations of Natural Numbers From 1 to 5000, Zenodo, January 14, 2019, http://doi.org/10.5281/zenodo.2538893.Inder J. Taneja. (2019). Single Digit Representations of Numbers From 10001 to 15000, Zenodo, January, 26, 2019, pp. 1-510, http://doi.org/10.5281/zenodo.2550414. Inder J. Taneja. (2019). Single Digit Representations of Numbers From 15001 to 20000, Zenodo, January, 26, … Continue reading 183-192 Days of Year: 01.07.2020-10.07.2020 – Part 2: Patterned Single Letter and Digits Representations

180th, 181st and 182nd Days of Year: 28.06.20, 29.06.20 and 30.06.20

References: 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, 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.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/Inder J. Taneja, Patterns in Selfie and Semi-Selfie … Continue reading 180th, 181st and 182nd Days of Year: 28.06.20, 29.06.20 and 30.06.20

170-179 Days of Year: 18.06.2020-27.06.2020 – Six Parts

References: 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, 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.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/Inder J. Taneja, Fixed and Flexible Powers Narcissistic … Continue reading 170-179 Days of Year: 18.06.2020-27.06.2020 – Six Parts

169th Day of Year: 17.06.20 – Upside-Down Magic and Bimagic Squares With Digits 1, 6 and 9

References: Inder 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.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.2539203Inder J. Taneja, Permutable Power Minimum Length Representations of Natural Numbers from 0 … Continue reading 169th Day of Year: 17.06.20 – Upside-Down Magic and Bimagic Squares With Digits 1, 6 and 9

165th, 166th, 167th and 168th Days of Year: 13.06.2020, 14.06.2020, 15.06.2020 and 16.06.2020

References: 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, 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.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/Inder J. Taneja, Fixed and Flexible Powers Narcissistic … Continue reading 165th, 166th, 167th and 168th Days of Year: 13.06.2020, 14.06.2020, 15.06.2020 and 16.06.2020

161st, 162nd, 163rd and 164th Days of Year: 09.06.2020, 10.06.2020, 11.06.2020 and 12.06.2020 – Parts 1, 2 and 3

References: 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, 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.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/Inder J. Taneja, Fixed and Flexible Powers Narcissistic … Continue reading 161st, 162nd, 163rd and 164th Days of Year: 09.06.2020, 10.06.2020, 11.06.2020 and 12.06.2020 – Parts 1, 2 and 3

157th, 158th, 159th and 160th Days of Year: 05.06.2020, 06.06.2020, 07.06.2020 and 08.06.2020 – Parts 1, 2 and 3

References: 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, 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.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/Inder J. Taneja, Fixed and Flexible Powers Narcissistic … Continue reading 157th, 158th, 159th and 160th Days of Year: 05.06.2020, 06.06.2020, 07.06.2020 and 08.06.2020 – Parts 1, 2 and 3

153rd, 154th, 155th and 156th Days of Year: 01.06.2020, 02.06.2020, 03.06.2020 and 04.06.2020 – Parts 1, 2 and 3

References: 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, 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.Inder J. Taneja, Fraction-Type Single Letter Representations of Natural Numbers From 1 to 11111, Zenodo, February 4, 2019, pp. … Continue reading 153rd, 154th, 155th and 156th Days of Year: 01.06.2020, 02.06.2020, 03.06.2020 and 04.06.2020 – Parts 1, 2 and 3

150th, 151st and 152nd Days of Year: 29.05.2020, 30.05.2020 and 31.05.2020

References: 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, 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.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/Inder J. Taneja, Patterns in Selfie and … Continue reading 150th, 151st and 152nd Days of Year: 29.05.2020, 30.05.2020 and 31.05.2020

146nd, 147rd, 148th and 149th Days of Year: 25.05.2020, 26.05.2020, 27.19.05.2020 and 28.05.2020

References: 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, 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.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/Inder J. Taneja, Patterns in Selfie … Continue reading 146nd, 147rd, 148th and 149th Days of Year: 25.05.2020, 26.05.2020, 27.19.05.2020 and 28.05.2020

142nd, 143rd, 144th and 145th Days of Year: 21.05.2020, 22.05.2020, 23.19.05.2020 and 24.05.2020 – Parts 1 and 2

References: 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, 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, Patterns in Selfie and Semi-Selfie Numbers. Zenodo, February 6, 2019,  pp. 1-51,  http://doi.org/10.5281/zenodo.2563202.Inder J. Taneja, Same Digits Equality Expressions: Power and Plus,  Zenodo, January 03, 2020, … Continue reading 142nd, 143rd, 144th and 145th Days of Year: 21.05.2020, 22.05.2020, 23.19.05.2020 and 24.05.2020 – Parts 1 and 2