Count Up with the Four Fours Puzzle

For all your silly time-killing forum games.

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Sabrar
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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Mon Jan 16, 2017 4:27 pm UTC

Prime factorization:

1782 = √4 * (√!4)4 * L(√!4)!

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Thu Jan 19, 2017 12:32 pm UTC

Could not find better than:
1783 = (τ(4!!) + ((√!4)!)! + (4!!)!!) / ((√!4)!)!!

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Thu Jan 19, 2017 1:04 pm UTC

1784 = ((!4)! + (4!!)! + F4!) / τ(√!4)

Spoiler:
1783 = τ(24) / 11!! - !6

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Thu Jan 19, 2017 3:19 pm UTC

1785 = (√(!4!4) - ((√!4)!)!!) / L(√!4)!

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Fri Jan 20, 2017 8:48 am UTC

1786 = (T(4!) + T(4!!) * τ((√!4)!)) / T(L(√!4)!) = (T(4!) + √4) / (!4 * L!4)

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Fri Jan 20, 2017 10:28 am UTC

Nice

1787 = ((!4)!! * F(T(√!4)!) - (4!!)!!) / L(L(√!4)!)

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Fri Jan 20, 2017 1:34 pm UTC

Thanks. Too many possibilities:

1788 = (τ(L(√!4)!) + τ(L(√!4)!) / T(T(√!4)!)) / L(T(√!4)!)
1788 = (F(L4!!) - (4!!)! - F(L(√!4)!)) / !((√!4)!)
1788 = (L!4 * !(4!!) - T(F4!!)) / L(T(√!4)!)
1788 = T(√!4)! * τ(L(√!4)!) / (!(4!!) - F(F4!!))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Mon Jan 23, 2017 2:17 pm UTC

1789 = Ack(√!4, 4!!) - 44

Spoiler:
1789 = Ack(√4, Ack(√4, Ack(√4, Ack(√4, Ack(√4, Ack(√4, Ack(√4, Ack(√4, √4 + √4))))))))

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Sabrar
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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Tue Jan 24, 2017 8:05 am UTC

Very nice! I completely forgot about the Ackermann function.

1790 = (τ(4!) + (!4)!) / τ(√!4) / ((√!4)!)!!

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Tue Jan 24, 2017 8:29 pm UTC

Thanks!

1791 = !4 * (!((√!4)!) - T4!! / √.4̅ )

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Sabrar
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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Wed Jan 25, 2017 9:58 am UTC

Feeling lazy.

1792 = 44 * (4 + F4)

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Tue Feb 07, 2017 10:57 am UTC

Sorry, been a while

1793 = -F4! * !(4!!) * L(√!4)! / τ(F4!!)

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Tue Feb 07, 2017 12:12 pm UTC

No problem at all.

1794 = 4 * τ(L(√!4)!) / (T(T(√!4)!) + !((√!4)!))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Tue Feb 07, 2017 3:04 pm UTC

1795 = Ack(√4, F(F4!!) + ((√!4)!)!) / T(√!4)!

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Tue Feb 07, 2017 3:54 pm UTC

1796 = √(-F((√!4)!)!! / τ(4) - (4!!)! - L!4)

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Tue Feb 07, 2017 4:08 pm UTC

You're too fast!

1797 = (τ(4!!) + 4!! - L4!!) / L!4

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Wed Feb 08, 2017 1:41 pm UTC

1798 = (F(L4!!) - L(T(F4))) / (τ(√!4) + F!4)

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Thu Feb 09, 2017 2:54 pm UTC

1799 = -(τ((√!4)!) * L(√!4)! / 4 + !(4!!))

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Fri Feb 10, 2017 9:39 am UTC

1800 = ((√!4)!)! * L(√!4)!! / (!4)! / T4!!

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Tue Feb 14, 2017 10:38 am UTC

1801 = (F4! - τ(F4!!)) / τ(√!4) - L(F4!!)

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Tue Feb 14, 2017 3:50 pm UTC

1802 = (!(4!!) + L(√!4)!!!) / F4!! / √.4̅

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Fri Feb 17, 2017 9:09 am UTC

1803 = -(τ(!4) + ((!4)! + τ(4!!)) / 4)

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Mon Feb 20, 2017 10:04 am UTC

1804 = √(L(√!4)!! - T(L(√!4)!) * !(!4) - τ(4!!))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Mon Feb 20, 2017 7:02 pm UTC

Cool!

1805 = (L(√!4)!! + T(√!4)!!! - τ(4!)) / L(√!4)!!!

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Tue Feb 21, 2017 2:11 pm UTC

Thanks!

1806 = √(-F((√!4)!)!! / τ(4) - L(√!4)!!! - τ((√!4)!))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Thu Feb 23, 2017 9:23 am UTC

1807 = (!(!4) + τ(!4) + 4!) / L(√!4)!

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Fri Feb 24, 2017 12:19 pm UTC

1808 = √(!4 * (!4)! - √4 * τ(4))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Wed Mar 08, 2017 10:58 am UTC

1809 = ((!4)! + 4!4) / (4!!)!!

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Wed Mar 08, 2017 3:56 pm UTC

1810 = -(T!4 * T(√!4)!!! + (!4)!!) / τ((√!4)!)

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Wed Mar 08, 2017 5:06 pm UTC

1811 = F(F4!!) - L4!!C4! / T(√!4)!

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Sabrar
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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Thu Mar 09, 2017 12:08 pm UTC

1812 = √(L(T(√!4)!) * L(√!4)!!! - L4! + F(T(√!4)!))
1812 = √(F(T(√!4)!) * L(F4!!) - T4! + F(L4!!))
1812 = √(τ(√!4) * !(4!!) + 4 * τ(!4))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Thu Mar 09, 2017 1:01 pm UTC

Very nice! I always forget to check squares...

1813 = !(!√4) - (τ(T(√!4)!) + τ((√!4)!)) / L(T(√!4)!)

Edit: forgot one 4 :)

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Fri Mar 10, 2017 7:39 am UTC

Thanks! I built a part specifically to look for them so will be doing a couple more.

1814 = !(!4 - √4) - T4!! + 4

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Fri Mar 10, 2017 2:08 pm UTC

Speaking of which...

1815 = τ(4!!) * L(√!4)!!! * T4!! / τ(4!)
1815 = √((T(√!4)!!! + τ(4!!)) * (√!4)! / .4)
1815 = √(T(T(√!4)!) - (τ(!4) + T!4) * L4!!)

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Sabrar
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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Mon Mar 13, 2017 11:35 am UTC

Good ones!

1816 = √(√L!44 - L4!! * τ(!4))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Tue Mar 14, 2017 11:05 am UTC

Thanks!

1817 = (√!4)!4 + L(F4!! * √.4̅)

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Tue Mar 14, 2017 2:59 pm UTC

1818 = √(τ(√!4) * L(F4!!) - (√!4)! * τ(4!!))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Wed Mar 15, 2017 1:52 pm UTC

1819 = (F4! - (4!!)! * T(L(√!4)!)) / τ((√!4)!)

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Re: Count Up with the Four Fours Puzzle

Postby Sabrar » Thu Mar 16, 2017 9:35 am UTC

Base 3 (and almost base 6):

1820 = √(T(L(√!4)!)C(√!4) + T(√!4)! * τ((√!4)!))

generalz
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Re: Count Up with the Four Fours Puzzle

Postby generalz » Thu Mar 16, 2017 4:18 pm UTC

1821 = (4!!)! + (!4 - L(T(√!4)!)) * L(L(√!4)!)


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