Badulla Badu Numbers-------- !!link!! Official

Given the difficulty, perhaps the term refers to numbers that appear in the Badulla sequence , a hypothetical recurrence: ( B_1 = 2, B_2 = 3 ), and ( B_{n} = B_{n-1} + B_{n-2} ) but with digits interpreted in base 5? That’s too forced.

Introduction: The Mystery of the Name In the vast landscape of number theory and recreational mathematics, new sequences and constants often emerge from obscure corners of human curiosity. Every so often, a term surfaces that defies immediate classification. One such intriguing phrase is "Badulla Badu Numbers."

Alternatively, the phrase could be a mishearing of "Badulla Badu" as "Buddhālaṅkāra" numbers—a lost Sinhala mathematical text. In modern number theory, newly defined sequences often find use in cryptography. If we define Badulla Badu Numbers as those that are both pseudoprime to base 2 and non-palindromic but become palindromic after reversing digits and multiplying by the original number’s digit sum, they could serve as keys in hash functions.

Until then, they stand as a monument to the beauty of undiscovered mathematics. Do you have a candidate for a Badulla Badu Number? Share it with researchers in number theory forums or the Sri Lankan Mathematical Society.