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/.