This note's credits goes to a comment by Deepak Gowda in this post.

Generate 0 to 100 with only **one** digit **once**: the digit 3.
You may use any other functions, like the one in the title.

Please enter as much as you can! :)

This note's credits goes to a comment by Deepak Gowda in this post.

Generate 0 to 100 with only **one** digit **once**: the digit 3.
You may use any other functions, like the one in the title.

Please enter as much as you can! :)

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## Comments

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TopNewest\(\lfloor \sin(3^{\circ})\rfloor = 0\)

\(\text{sgn}(3) = 1\) (sign function)

\(\phi(3) = 2\) (Euler's totient phi function)

\(3\)

\(\sigma(3) = 4\) (divisor sum)

\(\Sigma(3) = 5\) (prime sum)

\(3! = 6\)

\(\lfloor \csc(3)\rfloor = 7\)

\(\lceil \csc(3)\rceil = 8\)

\(\lfloor\text{antilog}(\tan(3)) \rfloor = 9\) (\(\text{antilog}(x) = 10^{x}\))

\(\Sigma(\Sigma(3)) = 10\)

\(p_{\Sigma(3)} = 11\) (n-th prime number)

\(\sigma(3!) = 12\)

\(F_{\lceil \csc(3)\rceil} = 13\) (Fibonacci function \(F_{1} = 0, F_{2} = 1, F_{n+2} = F_{n} + F_{n+1}\))

\(\sigma(F_{\lceil \csc(3)\rceil}) = 14\)

\(\sigma(\lceil \csc(3)\rceil) = 15\)

\(\phi(s(\sigma(\sigma(\sigma(3))))) = 16\)

\(s(\sigma(\sigma(\sigma(3)))) = 17\) (aliquot sum \(s(n) = \sigma(n) - n\))

\(\sigma(s(\sigma(\sigma(\sigma(3))))) = 18\)

\(p_{\lceil \csc(3)\rceil} = 19\)

\(\sigma(p_{\lceil \csc(3)\rceil}) = 20\)

\(\lfloor \tan(\tan(\cos(\sin(3^{\circ})))) \rfloor = 21\)

\(\lceil \tan(\tan(\cos(\sin(3^{\circ})))) \rceil = 22\)

\(p_{\lfloor\text{antilog}(\tan(3)) \rfloor} = 23\)

\((\Sigma(3))! = 24\) – Samuraiwarm Tsunayoshi · 3 years ago

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– Samuraiwarm Tsunayoshi · 3 years ago

Actually we can do any prime numbers if we have first 25 numbers. And also prime numbers minus 1 using Euler's totient function. And also Fibonacci numbers. And also Lucas numbers. And blahuhuhuhLog in to reply

I've commented but you've created...

so credits goes to Kenny Lau and Vinay Sipani – Deepak Gowda · 3 years ago

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– Vinay Sipani · 3 years ago

Ty... But the credit must go to you..Log in to reply

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– Kenny Lau · 3 years ago

Well, \(\frac d{dx}(3)=0\).Log in to reply

– Vinay Sipani · 3 years ago

oops yeah...its 0 mis-typo...Log in to reply

– Samuraiwarm Tsunayoshi · 3 years ago

The floor and ceiling is also switched too.Log in to reply