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This section illustrates several systems for naming large numbers, and shows how they can be extended past vigintillion. Traditional British usage assigned new names for each power of one million (the long scale): 1,000,000 = 1 million; 1,000,000 2 = 1 billion; 1,000,000 3 = 1 trillion; and so on.
As an illustration of this, the parity cycle (1 1 0 0 1 1 0 0) and its sub-cycle (1 1 0 0) are associated to the same fraction 5 / 7 when reduced to lowest terms. In this context, assuming the validity of the Collatz conjecture implies that (1 0) and (0 1) are the only parity cycles generated by positive whole numbers (1 and 2 ...
January 13, 2025 at 9:04 PM If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1305 ahead. Let's start with a few hints.
The final digit of a triangular number is 0, 1, 3, 5, 6, or 8, and thus such numbers never end in 2, 4, 7, or 9. A final 3 must be preceded by a 0 or 5; a final 8 must be preceded by a 2 or 7. In base 10, the digital root of a nonzero triangular number is always 1, 3, 6, or 9. Hence, every triangular number is either divisible by three or has a ...
Hints and the solution for today's Wordle on Thursday, January 16.
If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1303 ahead. Let's start with a few hints.
Marine biologists have captured a rare sight of a giant pod of over 1,500 dolphins leaping and swimming off the California coast.. The “super pod” of Risso’s dolphins was spotted in Carmel ...