Integermania - Jan Hus

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Integermania!

Jan Hus

Jan Hus was a church reformer who lived and worked in Prague, but was executed on 6 July 1415 by the church authorities because of his teachings. If we write this date in European format, ignoring the century, we have the date 6.7.15. Using one copy each of the digits 1, 5, 6, and 7, and any standard operations, create each of the positive integers. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.

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Page 1 (1-400), Page 2 (401+).

401 (3.6) $6! \times .\overline{5} + 1^7$ Steve Wilson, 2/23 Lawrence, KS	402 (2.0) $67 \times (1 + 5)$ Steve Wilson, 5/22 Lawrence, KS	403 (2.8) $\dfrac{.6}{.\overline{15}\%} + 7$ Steve Wilson, 5/22 Lawrence, KS	404 (4.0) $(6! + 7) \times .\overline{5} + .\overline{1}$ Steve Wilson, 2/23 Lawrence, KS	405 (2.4) $\dfrac{7.5 \times 6}{.\overline{1}}$ Steve Wilson, 5/22 Lawrence, KS	406 (3.6) $6! \times .\overline{5} + 7 - 1$ Steve Wilson, 2/23 Lawrence, KS	407 (2.2) $\dfrac{6}{1.5\%} + 7$ Steve Wilson, 5/22 Lawrence, KS	408 (2.4) $\left( \dfrac{7}{.\overline{1}} + 5 \right) \times 6$ Steve Wilson, 6/22 Lawrence, KS	409 (5.0) $6! \times .\overline{5} + 7 - \log(1\%)$ Steve Wilson, 3/23 Lawrence, KS	410 (2.2) $\dfrac{5 \times 7 + 6}{.1}$ Steve Wilson, 6/22 Lawrence, KS
		413 (2.4) $\left( \dfrac{6}{.\overline{1}} + 5 \right) \times 7$ Steve Wilson, 6/22 Lawrence, KS	414 (2.8) $\dfrac{1.6 + .7}{.\overline{5}\%}$ Steve Wilson, 7/22 Lawrence, KS	415 (2.2) $\dfrac{7 \times 6}{.1} - 5$ Jonathan Frank, 10/21 Rye, NY	416 (3.6) $6! \times .5\overline{7} \times 1$ Steve Wilson, 7/22 Lawrence, KS	417 (2.4) $(7 - 5\%) \times \dfrac{6}{.1}$ Steve Wilson, 8/22 Lawrence, KS		419 (3.6) $(6! - 5!) \times .7 - 1$ Jonathan Frank, 10/21 Rye, NY	420 (2.4) $6 \times \dfrac{5 - .1}{7\%}$ Steve Wilson, 8/22 Lawrence, KS
421 (2.0) $71 \times 6 - 5$ Jonathan Frank, 10/21 Rye, NY	422 (2.0) $61 \times 7 - 5$ Dana Reigle, 6/21 Goshen, IN	423 (2.2) $6 \times (71 - .5)$ Steve Wilson, 8/22 Lawrence, KS	424 (2.2) $\dfrac{5}{1\%} - 76$ Jonathan Frank, 10/21 Rye, NY	425 (2.2) $\dfrac{7 \times 6}{.1} + 5$ Jonathan Frank, 11/21 Rye, NY	426 (2.6) $\dfrac{71}{.\overline{6} - .5}$ Steve Wilson, 8/22 Lawrence, KS	427 (3.8) $\dfrac{5!}{\sqrt{.\overline{1}}} + 67$ Steve Wilson, 3/23 Lawrence, KS		429 (2.0) $71.5 \times 6$ Steve Wilson, 8/22 Lawrence, KS	430 (2.4) $\dfrac{5 \times 6 + .1}{7\%}$ Steve Wilson, 9/22 Lawrence, KS
431 (2.0) $71 \times 6 + 5$ Jonathan Frank, 11/21 Rye, NY	432 (2.0) $61 \times 7 + 5$ Dana Reigle, 6/21 Goshen, IN	433 (2.2) $\dfrac{5}{1\%} - 67$ Jonathan Frank, 11/21 Rye, NY		435 (4.0) $\left( 6! + \dfrac{7}{.\overline{1}} \right) \times .\overline{5}$ Steve Wilson, 3/23 Lawrence, KS	436 (2.4) $\dfrac{5 - .7}{1\%} + 6$ Steve Wilson, 9/22 Lawrence, KS	437 (2.4) $\dfrac{7}{1.6\%} - .5$ Steve Wilson, 9/22 Lawrence, KS	438 (2.4) $\dfrac{7}{1.6\%} + .5$ Steve Wilson, 9/22 Lawrence, KS
441 (2.4) $\dfrac{56 - 7}{.\overline{1}}$ Steve Wilson, 9/22 Lawrence, KS			444 (2.0) $(75 - 1) \times 6$ Jonathan Frank, 11/21 Rye, NY			447 (2.4) $\dfrac{5 - .6}{1\%} + 7$ Steve Wilson, 3/23 Lawrence, KS	448 (2.0) $56 \times (7 + 1)$ Steve Wilson, 3/23 Lawrence, KS	449 (2.0) $75 \times 6 - 1$ Jonathan Frank, 11/21 Rye, NY	450 (2.0) $75 \times 6 \times 1$ Jonathan Frank, 12/21 Rye, NY
451 (2.0) $75 \times 6 + 1$ Jonathan Frank, 12/21 Rye, NY			454 (2.0) $65 \times 7 - 1$ Dana Reigle, 12/21 Prague, Czech Rep.	455 (2.0) $65 \times 7 \times 1$ Dana Reigle, 12/21 Prague, Czech Rep.	456 (2.0) $65 \times 7 + 1$ Dana Reigle, 12/21 Prague, Czech Rep.		458 (2.2) $\dfrac{5}{1\%} - 6 \times 7$ Jonathan Frank, 12/21 Rye, NY		460 (2.4) $\dfrac{6}{1\%} - \dfrac{7}{5\%}$ Jonathan Frank, 2/22 Rye, NY
	462 (2.0) $(61 + 5) \times 7$ Dana Reigle, 4/22 Grove City, PA	463 (3.4) $\sqrt{7^6} + 5! \times 1$ Jonathan Frank, 2/22 Rye, NY	464 (3.4) $\sqrt{7^6} + 5! + 1$ Jonathan Frank, 2/22 Rye, NY
						487 (2.2) $\dfrac{5}{1\%} - 7 - 6$ Jonathan Frank, 3/22 Rye, NY			490 (2.2) $\dfrac{56 - 7}{.1}$ Dana Reigle, 3/22 Grove City, PA
						497 (2.4) $\dfrac{56}{.\overline{1}} - 7$ Jonathan Frank, 3/22 Rye, NY		499 (2.2) $\dfrac{5}{1\%} - 7 + 6$ Jonathan Frank, 2/22 Rye, NY	500 (2.2) $(7 - 6) \times \dfrac{5}{1\%}$ Jonathan Frank, 1/22 Rye, NY
501 (2.2) $\dfrac{5}{1\%} + 7 - 6$ Jonathan Frank, 3/22 Rye, NY			504 (3.2) $\dfrac{7!}{6 + 5 - 1}$ Dana Reigle, 8/22 Lewisburg, PA			507 (2.4) $\dfrac{57}{.\overline{1}} - 6$ Jonathan Frank, 3/22 Rye, NY		509 (2.0) $516 - 7$ Jonathan Frank, 3/22 Rye, NY	510 (2.0) $17 \times 5 \times 6$ Dana Reigle, 2/22 Grove City, PA
511 (2.0) $517 - 6$ Jonathan Frank, 3/22 Rye, NY		513 (2.2) $\dfrac{5}{1\%} + 7 + 6$ Jonathan Frank, 4/22 Rye, NY						519 (2.4) $\dfrac{57}{.\overline{1}} + 6$ Jonathan Frank, 4/22 Rye, NY
		523 (2.0) $517 + 6$ Jonathan Frank, 3/22 Rye, NY		525 (2.2) $\dfrac{6}{1\%} - 75$ Jonathan Frank, 4/22 Rye, NY		527 (3.6) $6! - \dfrac{1}{.5\%} + 7$ Jonathan Frank, 4/22 Rye, NY		529 (3.4) $6! - 5! - 71$ Jonathan Frank, 4/22 Rye, NY
	542 (2.2) $\dfrac{5}{1\%} + 6 \times 7$ Jonathan Frank, 5/22 Rye, NY	543 (2.2) $\dfrac{6}{1\%} - 57$ Jonathan Frank, 5/22 Rye, NY		545 (3.2) $6! - 175$ Jonathan Frank, 5/22 Rye, NY	546 (3.2) $71 \times 6 + 5!$ Jonathan Frank, 5/22 Rye, NY
		553 (2.2) $\dfrac{56}{.1} - 7$ Dana Reigle, 2/23 Lewisburg, PA			556 (3.4) $\dfrac{7}{1\%} - \dfrac{6!}{5}$ Jonathan Frank, 5/22 Rye, NY				560 (2.0) $16 \times 5 \times 7$ Dana Reigle, 5/22 Lewisburg, PA
		563 (3.2) $6! - 157$ Jonathan Frank, 6/22 Rye, NY	564 (2.2) $\dfrac{57}{.1} - 6$ Dana Reigle, 7/22 Lewisburg, PA	565 (2.0) $571 - 6$ Jonathan Frank, 6/22 Rye, NY	566 (2.0) $567 - 1$ Jonathan Frank, 6/22 Rye, NY	567 (2.0) $567 \times 1$ Jonathan Frank, 6/22 Rye, NY	568 (2.0) $567 + 1$ Jonathan Frank, 7/22 Rye, NY
				575 (2.0) $576 - 1$ Jonathan Frank, 7/22 Rye, NY	576 (2.0) $576 \times 1$ Jonathan Frank, 7/22 Rye, NY	577 (2.0) $576 + 1$ Jonathan Frank, 7/22 Rye, NY	578 (3.4) $6! - \dfrac{71}{.5}$ Jonathan Frank, 7/22 Rye, NY		580 (2.2) $\dfrac{65 - 7}{.1}$ Dana Reigle, 9/22 Lewisburg, PA
		583 (3.4) $6! - 5! - 17$ Jonathan Frank, 8/22 Rye, NY				587 (3.6) $(6! + 5!) \times .7 - 1$ Jonathan Frank, 8/22 Rye, NY	588 (2.2) $\dfrac{6}{1\%} - 7 - 5$ Jonathan Frank, 8/22 Rye, NY	589 (3.6) $(6! + 5!) \times .7 + 1$ Jonathan Frank, 8/22 Rye, NY
	592 (3.4) $6! - 5! - 7 - 1$ Jonathan Frank, 9/22 Rye, NY	593 (3.4) $6! - 5! - 7 \times 1$ Jonathan Frank, 9/22 Rye, NY	594 (3.4) $6! - 5! - 7 + 1$ Jonathan Frank, 9/22 Rye, NY				598 (2.2) $\dfrac{6}{1\%} + 5 - 7$ Jonathan Frank, 9/22 Rye, NY		600 (2.2) $\dfrac{7 - 6 + 5}{1\%}$ Jonathan Frank, 1/22 Rye, NY
					606 (3.4) $6! - 5! + 7 - 1$ Jonathan Frank, 9/22 Rye, NY	607 (3.4) $6! - 5! + 7 \times 1$ Jonathan Frank, 10/22 Rye, NY	608 (3.4) $6! - 5! + 7 + 1$ Jonathan Frank, 10/22 Rye, NY
	612 (2.2) $\dfrac{6}{1\%} + 7 + 5$ Jonathan Frank, 10/22 Rye, NY			615 (3.2) $6! - 15 \times 7$ Jonathan Frank, 10/22 Rye, NY		617 (3.4) $6! - 5! + 17$ Jonathan Frank, 10/22 Rye, NY	618 (3.2) $6 \times (5! - 17)$ Dana Reigle, 2/23 Lewisburg, PA		620 (2.2) $\dfrac{67 - 5}{.1}$ Dana Reigle, 10/22 Lewisburg, PA
									630 (2.0) $15 \times 7 \times 6$ Jonathan Frank, 11/22 Rye, NY
				635 (2.2) $\dfrac{6}{1\%} + 7 \times 5$ Jonathan Frank, 11/22 Rye, NY
		643 (2.2) $\dfrac{65}{.1} - 7$ Dana Reigle, 12/22 Lewisburg, PA	644 (2.0) $651 - 7$ Jonathan Frank, 11/22 Rye, NY	645 (3.2) $6! - 75 \times 1$ Jonathan Frank, 11/22 Rye, NY	646 (3.2) $6! - 75 + 1$ Jonathan Frank, 11/22 Rye, NY
	652 (3.6) $6! - 5 - \dfrac{7}{.\overline{1}}$ Jonathan Frank, 12/22 Rye, NY			655 (3.4) $6! + 5 - \dfrac{7}{.1}$ Jonathan Frank, 12/22 Rye, NY	656 (2.0) $657 - 1$ Jonathan Frank, 12/22 Rye, NY	657 (2.0) $657 \times 1$ Jonathan Frank, 12/22 Rye, NY	658 (2.0) $657 + 1$ Jonathan Frank, 12/22 Rye, NY
	662 (3.4) $6! - \dfrac{7}{.\overline{1}} + 5$ Jonathan Frank, 1/23 Rye, NY	663 (2.0) $51 \times (7 + 6)$ Dana Reigle, 1/23 Lewisburg, PA						669 (2.4) $\dfrac{75}{.\overline{1}} - 6$ Jonathan Frank, 1/23 Rye, NY	670 (2.2) $\dfrac{7}{1\%} - 6 \times 5$ Jonathan Frank, 1/23 Rye, NY
671 (3.4) $6! - 5! + 71$ Jonathan Frank, 1/23 Rye, NY				675 (2.2) $\dfrac{6}{1\%} + 75$ Jonathan Frank, 1/23 Rye, NY				679 (2.4) $\dfrac{76}{.\overline{1}} - 5$ Jonathan Frank, 2/23 Rye, NY	680 (3.2) $6! - (7 + 1) \times 5$ Jonathan Frank, 2/23 Rye, NY
681 (2.4) $\dfrac{75}{.\overline{1}} + 6$ Jonathan Frank, 2/23 Rye, NY			684 (3.2) $6! - 7 \times 5 - 1$ Jonathan Frank, 3/22 Rye, NY	685 (3.2) $6! - 7 \times 5 \times 1$ Jonathan Frank, 3/22 Rye, NY	686 (3.2) $6! - 7 \times 5 + 1$ Jonathan Frank, 3/22 Rye, NY			689 (2.2) $\dfrac{7}{1\%} - 6 - 5$ Jonathan Frank, 2/23 Rye, NY	690 (3.2) $6! - (7 - 1) \times 5$ Jonathan Frank, 1/22 Rye, NY
									700 (2.2) $(6 - 5) \times \dfrac{7}{1\%}$ Jonathan Frank, 1/22 Rye, NY
									800 (2.2) $\dfrac{7 + 6 - 5}{1\%}$ Jonathan Frank, 1/22 Rye, NY
									1000 (3.2) $(7 + 1) \times \sqrt{5^6}$ Jonathan Frank, 1/22 Rye, NY

Page 1 (1-400), Page 2 (401+).