We use MathJax
Four fours is a classic problem, dating back at least 90 years. Create each of the positive integers using four copies of 4, and any standard operations. All four numbers must be used, but no others. Your solutions will be assigned an exquisiteness level.
Use the online submissions page to get your Integermania solutions posted here! This problem is now in semi-retired status, so you may submit an unlimited number of solutions each month.
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).
| 401 (2.4) $\dfrac{4 \times 4 + 4\%}{4\%}$ Dave Jones, 9/07 Coventry, England |
402 (3.4) $\dfrac{4}{4\%} \times 4 + \sqrt{4}$ Steve Wilson, 2/08 Raytown, MO |
403 (3.8) $(4 + 4)!\% - \dfrac{.4}{\sqrt{4}}$ Steve Wilson, 9/08 Raytown, MO |
404 (2.2) $4 \times \dfrac{4}{4\%} + 4$ Dave Jones, 12/06 Coventry, England |
405 (3.2) $\dfrac{4 - .4}{(.\overline{4} + .\overline{4})\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
406 (3.6) $\dfrac{4 \times 4 + 4!\%}{4\%}$ Steve Wilson, 6/08 Raytown, MO |
407 (3.8) $(4 + 4)!\% - \sqrt{4\%} + 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
408 (3.4) $4 \times 4! \times 4 + 4!$ Steve Wilson, 6/08 Raytown, MO |
409 (3.2) $\dfrac{4 \times .\overline{4} + 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 6/08 Martina Franca, Italy |
410 (2.4) $\dfrac{4 \times 4 + .4}{4\%}$ Dave Jones, 9/07 Coventry, England |
|
| 411 (4.8) $\dfrac{\sqrt{4} - \sqrt{.\overline{4}\%}}{.\overline{4}\%} - 4!$ Steve Wilson, 10/08 Raytown, MO |
412 (3.8) $\dfrac{4 + 4 + 4!\%}{(\sqrt{4})\%}$ Steve Wilson, 12/08 Raytown, MO |
413 (5.0) $\coth\ln\coth\arsinh(4 \times 4) - \dfrac{4}{4\%}$ Steve Wilson, 9/23 Lawrence, KS |
414 (3.8) $\sqrt{\left(\sqrt{4^{4!}}\right)\%} + 4.4$ Steve Wilson, 11/23 Lawrence, KS |
415 (3.8) $\dfrac{\dfrac{4}{.4} - 4\%}{4! \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
416 (2.2) $4 \times \left(4 + \dfrac{4}{4\%} \right)$ Dave Jones, 3/07 Coventry, England |
417 (4.2) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\%} - 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
418 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\%} - \sqrt[.4]{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
419 (4.8) $\dfrac{4! + 4 - \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 11/08 Raytown, MO |
420 (3.2) $444 - 4!$ Steve Wilson, 2/08 Raytown, MO |
|
| 421 (4.8) $\dfrac{4! + 4 + \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 11/08 Raytown, MO |
422 (4.0) $\dfrac{\sqrt{4}}{.\overline{4}\%} - 4! - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
423 (4.4) $\dfrac{4! + 4 + \sqrt{4\%}}{\sqrt{.\overline{4}\%}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
424 (3.4) $\dfrac{4}{4\%} \times 4 + 4!$ Steve Wilson, 2/08 Raytown, MO |
425 (3.8) $\dfrac{ \dfrac{4}{4\%} + \sqrt{4}}{4!\%}$ Steve Wilson, 8/09 Raytown, MO |
426 (4.0) $\dfrac{4}{.\overline{4}\% \times \sqrt{4}} - 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
427 (4.0) $(4 + 4)!\% - \sqrt{4\%} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
428 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\%} - 4! + \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
429 (4.4) $\dfrac{\sqrt{4} - \sqrt{4\%}}{.\overline{4}\%} + 4!$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
430 (3.8) $\dfrac{\sqrt{4} - (4! + 4)\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
|
| 431 (4.6) $\dfrac{\sqrt{4} - \sqrt{.\overline{4}\%}}{.\overline{4}\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
432 (3.4) $4! \times (4 \times 4 + \sqrt{4})$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
433 (4.8) $\dfrac{\sqrt{4} - \sqrt{.\overline{4}\%}}{.\overline{4}\%} - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
434 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\%} - 4 \times 4$ Steve Wilson, 6/08 Raytown, MO |
435 (4.0) $\dfrac{\sqrt{4} - (4! + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
436 (3.2) $\dfrac{4}{.\overline{4}\%} \times (4\% + .\overline{4})$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
437 (4.0) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\%} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
438 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\%} - \dfrac{4!}{\sqrt{4}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
439 (4.0) $\dfrac{\sqrt{4} - (4! + .4)\%}{4 \pmf}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
440 (2.0) $444 - 4$ Kimberly Grosdidier, 12/05 Overland Park, KS |
|
| 441 (3.8) $\dfrac{ \sqrt{(4 + \sqrt{4\%})^4}}{4\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
442 (3.2) $444 - \sqrt{4}$ Eric Millard, 5/07 Olathe, KS |
443 (4.2) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\%} + \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
444 (3.2) $.\overline{4} \times \dfrac{4}{.4\%} - .\overline{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
445 (4.0) $\dfrac{ \sqrt{4} - 4\%}{.\overline{4}\%} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
446 (3.0) $\dfrac{4}{(.\overline{4} + .\overline{4})\%} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
447 (4.4) $\dfrac{\sqrt{4} + .\overline{4}\%}{.\overline{4}\%} - 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
448 (2.0) $444 + 4$ Steven Charlton, 1/05 Sunderland, England |
449 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\%} - \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
450 (2.6) $\dfrac{4 + 4}{4 \times .\overline{4}\%}$ Dave Jones, 1/08 Coventry, England |
|
| 451 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\%} + \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
452 (3.8) $\dfrac{\sqrt{4}}{4 \pmf} - 4! - 4!$ Steve Wilson, 6/08 Raytown, MO |
453 (4.4) $\dfrac{\sqrt{4} - .\overline{4}\%}{.\overline{4}\%} + 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
454 (3.0) $\dfrac{4}{(.\overline{4} + .\overline{4})\%} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
455 (4.0) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\%} - 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
456 (3.4) $\dfrac{\sqrt{4}}{4 \pmf} - 44$ Steve Wilson, 6/08 Raytown, MO |
457 (4.0) $(\sqrt{4} + 4!)^4 \pmf + 4!\pmf$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
458 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\%} + 4 + 4$ Steve Wilson, 6/08 Raytown, MO |
459 (4.0) $\dfrac{4 - \sqrt{4} + 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
460 (3.2) $\dfrac{4 \times .4 + .\overline{4}}{.\overline{4}\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
|
| 461 (4.2) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\%} + \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
462 (4.2) $\dfrac{\sqrt{4}}{.\overline{4}\%} + \dfrac{4!}{\sqrt{4}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
463 (4.0) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\%} + 4$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
464 (3.4) $(4^4 - 4!) \times \sqrt{4}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
465 (4.2) $\dfrac{\sqrt{4} - 4\%}{.\overline{4}\%} + 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
466 (3.8) $\dfrac{\sqrt{4}}{.\overline{4}\%} + 4 \times 4$ Steve Wilson, 6/08 Raytown, MO |
467 (4.8) $\dfrac{\sqrt{4} + \sqrt{.\overline{4}\%}}{.\overline{4}\%} + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
468 (3.2) $444 + 4!$ Steve Wilson, 2/08 Raytown, MO |
469 (4.6) $\dfrac{\sqrt{4} + \sqrt{.\overline{4}\%}}{.\overline{4}\%} + 4$ Steve Wilson, 10/08 Raytown, MO |
470 (3.8) $\dfrac{4 \times 4! - \sqrt{4}}{\sqrt{4\%}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
|
| 471 (4.2) $\dfrac{\sqrt{4} - \sqrt{4\%\%}}{4 \pmf} - 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
472 (3.6) $\dfrac{\sqrt{4}}{4 \pmf} - 4! - 4$ Steve Wilson, 6/08 Raytown, MO |
473 (4.8) $\cosh(4 \times \arcosh\sqrt{4 + 4}) + 4!$ Steve Wilson, 9/23 Lawrence, KS |
474 (3.8) $\dfrac{\sqrt{4}}{4 \pmf} - 4! - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
475 (3.4) $\dfrac{.4 + .\overline{4}}{.4 \times .\overline{4}\%}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
476 (3.4) $4! \times (4! - 4) - 4$ Steve Wilson, 6/08 Raytown, MO |
477 (3.8) $\dfrac{\sqrt{4} + 4 \pmf}{4 \pmf} - 4!$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
478 (3.6) $4! \times (4! - 4) - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
479 (4.0) $\dfrac{4 \times 4! - \sqrt{4\%}}{\sqrt{4\%}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
480 (3.2) $4 \times \left(4 + \dfrac44 \right)!$ Steve Wilson, 10/08 Raytown, MO |
|
| 481 (4.0) $\dfrac{4 \times 4! + \sqrt{4\%}}{\sqrt{4\%}}$ Paolo Pellegrini, 8/08 Martina Franca, Italy |
482 (3.6) $4! \times (4! - 4) + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
483 (4.2) $\dfrac{\sqrt{4} + 4\%}{.\overline{4}\%} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
484 (3.4) $4! \times (4! - 4) + 4$ Steve Wilson, 6/08 Raytown, MO |
485 (3.8) $\dfrac{\sqrt{4} - (4 + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
486 (3.6) $\dfrac{\sqrt{4} - 4\%}{4 \pmf} - 4$ Steve Wilson, 6/08 Raytown, MO |
487 (4.8) $\cosh(\sqrt{4} \times \arcosh(4 \times 4)) - 4!$ Steve Wilson, 9/23 Lawrence, KS |
488 (3.4) $4^4 \times \sqrt{4} - 4!$ Steve Wilson, 10/08 Raytown, MO |
489 (3.6) $\dfrac{\sqrt{4} - 44 \pmf}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
490 (3.2) $\dfrac{4 \times .\overline{4} + .4}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
|
| 491 (3.8) $\dfrac{\sqrt{4}}{4 \pmf} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 6/08 Raytown, MO |
492 (3.4) $\dfrac{\sqrt{4}}{4 \pmf} - 4 - 4$ Steve Wilson, 6/08 Raytown, MO |
493 (3.8) $\dfrac{\sqrt{4} - (4! + 4)\pmf}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
494 (3.6) $\dfrac{\sqrt{4}}{4 \pmf} - 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
495 (2.8) $\dfrac{4 - 4\%}{(.4 + .4)\%}$ Steve Wilson, 10/08 Raytown, MO |
496 (2.6) $\dfrac{4}{(.4 + .4)\%} - 4$ Dave Jones, 1/08 Coventry, England |
497 (3.6) $\dfrac{\sqrt{4} + 4 \pmf}{4 \pmf} - 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
498 (3.4) $\dfrac{4}{(4 + 4)\pmf} - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
499 (3.4) $\dfrac{\sqrt{4}}{4 \pmf} - \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
500 (2.2) $\dfrac{4 \times 4 + 4}{4\%}$ Dave Jones, 9/06 Coventry, England |
|
| 501 (3.4) $\dfrac{\sqrt{4}}{4 \pmf} + \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
502 (3.4) $\dfrac{4}{(4 + 4)\pmf} + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
503 (3.6) $\dfrac{\sqrt{4} - 4 \pmf}{4 \pmf} + 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
504 (2.6) $\dfrac{4}{(.4 + .4)\%} + 4$ Dave Jones, 1/08 Coventry, England |
505 (2.8) $\dfrac{4 + 4\%}{(.4 + .4)\%}$ Steve Wilson, 10/08 Raytown, MO |
506 (3.6) $\dfrac{\sqrt{4}}{4 \pmf} + 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
507 (3.8) $\dfrac{\sqrt{4} + (4! + 4)\pmf}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
508 (3.2) $4^4 \times \sqrt{4} - 4$ Jeremy Miller, 9/07 Olathe, KS |
509 (3.8) $\dfrac{\sqrt{4}}{4 \pmf} + \dfrac{4}{.\overline{4}}$ Steve Wilson, 6/08 Raytown, MO |
510 (3.4) $4^4 \times \sqrt{4} - \sqrt{4}$ Steve Wilson, 9/08 Raytown, MO |
|
| 511 (3.6) $\dfrac{\sqrt{4} + 44 \pmf}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
512 (3.0) $4^4 + 4^4$ Josh Brown, 6/04 Lawrence, KS |
513 (3.8) $\dfrac{\sqrt[\sqrt{4\%}]{4} + \sqrt{4}}{\sqrt{4}}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
514 (3.4) $4^4 \times \sqrt{4} + \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
515 (3.8) $\dfrac{\sqrt{4} + (4 + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
516 (3.2) $4^4 \times \sqrt{4} + 4$ Jeremy Miller, 9/07 Olathe, KS |
517 (4.6) $\cosh(\sqrt{4} \times \arsinh(4 \times 4)) + 4$ Steve Wilson, 9/23 Lawrence, KS |
518 (4.0) $\dfrac{\sqrt{4} - 4! \pmf}{4 \pmf} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
519 (4.2) $\dfrac{\sqrt{4} - \sqrt{4\%\%}}{4 \pmf} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
520 (3.2) $(4^4 + 4) \times \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
|
| 521 (4.8) $\coth\ln\coth\arsinh(4 \times 4) + 4 + 4$ Steve Wilson, 9/23 Lawrence, KS |
522 (3.8) $\dfrac{\sqrt{4}}{4 \pmf} + 4! - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
523 (3.8) $\dfrac{\sqrt{4} - 4\pmf}{4 \pmf} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
524 (3.4) $\dfrac{4}{(4 + 4)\pmf} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
525 (3.6) $\dfrac{\sqrt{4} + \dfrac{.4}{4}}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
526 (3.8) $\dfrac{\sqrt{4}}{4 \pmf} + 4! + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
527 (4.8) $\coth\ln\coth\arcosh(4 \times 4) + 4 \times 4$ Steve Wilson, 9/23 Lawrence, KS |
528 (3.4) $44 \times \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 10/08 Raytown, MO |
529 (3.4) $\sqrt{\left(4! - \dfrac44 \right)^4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
530 (3.8) $(4! - \sqrt{4}) \times 4! + \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
|
| 531 (4.2) $\dfrac{\sqrt{4} + .4 - 4\%}{.\overline{4}\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
532 (3.4) $4! \times 4! - 44$ Steve Wilson, 6/08 Raytown, MO |
533 (4.4) $\dfrac{(4! - .4)\%}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 10/23 Lawrence, KS |
534 (3.8) $\dfrac{\sqrt{4} + 4\%}{4 \pmf} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
535 (4.4) $\sqrt{4\%^{-4}} - \dfrac{.4}{.\overline{4}\%}$ Steve Wilson, 12/08 Raytown, MO |
536 (3.4) $4^4 \times \sqrt{4} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
537 (4.6) $\dfrac{4!\%}{.\overline{4} \pmf} - \sqrt{\dfrac{4}{.\overline{4}}}$ Steve Wilson, 8/09 Raytown, MO |
538 (4.2) $\dfrac{\sqrt{4} + .4}{.\overline{4}\%} - \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
539 (4.0) $\dfrac{4!\%}{.\overline{4} \pmf} - \dfrac44$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
540 (2.8) $\dfrac{4 - 4 \times .4}{.\overline{4}\%}$ Dave Jones, 12/07 Coventry, England |
|
| 541 (4.0) $\dfrac{4!\%}{.\overline{4} \pmf} + \dfrac44$ Steve Wilson, 8/09 Raytown, MO |
542 (4.2) $\dfrac{\sqrt{4} + .4}{.\overline{4}\%} + \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
543 (4.6) $\dfrac{4!\%}{.\overline{4} \pmf} + \sqrt{\dfrac{4}{.\overline{4}}}$ Steve Wilson, 8/09 Raytown, MO |
544 (3.4) $\dfrac{\sqrt{4}}{4 \pmf} + 44$ Steve Wilson, 6/08 Raytown, MO |
545 (4.0) $\dfrac{4! - \sqrt{4} - \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
546 (3.6) $\dfrac{4! - \sqrt{4}}{4\%} - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
547 (4.4) $\dfrac{(4! + .4)\%}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 10/23 Lawrence, KS |
548 (3.6) $4! \times 4! - 4! - 4$ Steve Wilson, 6/08 Raytown, MO |
549 (3.8) $\dfrac{4! - \sqrt{4} - 4\%}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
550 (2.2) $\dfrac{44}{(4 + 4)\%}$ Dave Jones, 9/07 Coventry, England |
|
| 551 (3.8) $\dfrac{4! - \sqrt{4} + 4\%}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
552 (3.4) $4! \times \left(4! - \dfrac44 \right)$ Steve Wilson, 6/08 Raytown, MO |
553 (4.2) $\dfrac{(4! + .4)\%}{.\overline{4}\pmf} + 4$ Steve Wilson, 10/23 Lawrence, KS |
554 (3.6) $\dfrac{4! - \sqrt{4}}{4\%} + 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
555 (4.0) $\dfrac{4! - \sqrt{4} + \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
556 (3.2) $\dfrac{.\overline{4}}{(4+4)\%\%} + .\overline{4}$ Steve Wilson, 10/08 Raytown, MO |
557 (3.8) $\sqrt{(4! - .4)^4} + 4\%$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
558 (4.0) $\dfrac{\sqrt{4} + 4!\%}{4 \pmf} - \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
559 (4.0) $\dfrac{\sqrt{4} + (4! - .4)\%}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
560 (3.4) $(4! - 4) \times (4! + 4)$ Steve Wilson, 6/08 Raytown, MO |
|
| 561 (4.0) $\dfrac{\sqrt{4} + (4! + .4)\%}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
562 (4.0) $\dfrac{\sqrt{4} + 4!\%}{4 \pmf} + \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
563 (4.8) $\dfrac{4!\% - .\overline{4}\pmf}{.\overline{4}\pmf} + 4!$ Steve Wilson, 10/23 Lawrence, KS |
564 (3.6) $4! \times \left(4! - \dfrac{\sqrt{4}}{4} \right)$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
565 (4.0) $\dfrac{\sqrt{4} + (4! + \sqrt{4})\%}{4 \pmf}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
566 (3.6) $4! \times 4! - \dfrac{4}{.4}$ Steve Wilson, 6/08 Raytown, MO |
567 (3.4) $\dfrac{4^4 - 4}{.\overline{4}}$ Steve Wilson, 10/08 Raytown, MO |
568 (3.4) $4! \times 4! - 4 - 4$ Steve Wilson, 6/08 Raytown, MO |
569 (5.2) $4! \times 4! - 4 - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
570 (3.6) $4! \times 4! - 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
|
| 571 (3.8) $4! \times 4! - \dfrac{\sqrt{4}}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
572 (3.4) $\dfrac{4^4}{.\overline{4}} - 4$ Steve Wilson, 10/08 Raytown, MO |
573 (4.0) $4! \times 4! - \sqrt{\dfrac{4}{.\overline{4}}}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
574 (3.6) $4! \times 4! - 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
575 (3.4) $4! \times 4! - \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
576 (3.2) $\sqrt[4]{4!^{4+4}}$ Steve Wilson, 5/11 Raytown, MO |
577 (3.4) $4! \times 4! + \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
578 (3.6) $4! \times 4! + 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
579 (4.0) $4! \times 4! + \sqrt{\dfrac{4}{.\overline{4}}}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
580 (3.4) $\dfrac{4^4}{.\overline{4}} + 4$ Steve Wilson, 10/08 Raytown, MO |
|
| 581 (3.6) $\sqrt{ 4\%^{-4}} - 44$ Steve Wilson, 10/08 Raytown, MO |
582 (3.6) $4! \times 4! + 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
583 (4.4) $\dfrac{(4! + \sqrt{4})\%}{.\overline{4}\pmf} - \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
584 (3.4) $4! \times 4! + 4 + 4$ "mathwhiz", 1/07 Newton, MA |
585 (3.4) $\dfrac{4^4 + 4}{.\overline{4}}$ Steve Wilson, 10/08 Raytown, MO |
586 (3.6) $4! \times 4! + \dfrac{4}{.4}$ Steve Wilson, 6/08 Raytown, MO |
587 (4.4) $\dfrac{(4! + \sqrt{4})\%}{.\overline{4}\pmf} + \sqrt{4}$ Steve Wilson, 11/23 Lawrence, KS |
588 (3.6) $4! \times \left( 4! + \dfrac{\sqrt{4}}{4} \right)$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
589 (3.6) $\dfrac{4! - .44}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
590 (3.6) $\dfrac{4!}{4\%} - \dfrac{4}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
|
| 591 (3.8) $\dfrac{4!}{4\%} - \dfrac{4}{.\overline{4}}$ Steve Wilson, 6/08 Raytown, MO |
592 (3.4) $\dfrac{4!}{4\%} - 4 - 4$ Steve Wilson, 2/08 Raytown, MO |
593 (3.8) $\dfrac{4! - (4! + 4)\%}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
594 (3.6) $\dfrac{4!}{4\%} - 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
595 (3.6) $\dfrac{4! - 4\%}{4\%} - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
596 (3.6) $4! \times 4! + 4! - 4$ Steve Wilson, 6/08 Raytown, MO |
597 (3.6) $\dfrac{4! + 4\%}{4\%} - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
598 (3.6) $\dfrac{4!}{4\%} - 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
599 (3.4) $\dfrac{4!}{4\%} - \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
600 (2.6) $\dfrac{4 - 4 \times .4}{.4\%}$ Dave Jones, 12/07 Coventry, England |
|
| 601 (3.4) $\dfrac{4!}{4\%} + \dfrac44$ Steve Wilson, 6/08 Raytown, MO |
602 (3.6) $\dfrac{4!}{4\%} + 4 - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
603 (3.6) $\dfrac{4! - 4\%}{4\%} + 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
604 (3.6) $4! \times 4! + 4! + 4$ Steve Wilson, 6/08 Raytown, MO |
605 (3.6) $\dfrac{4! + 4\%}{4\%} + 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
606 (3.6) $\dfrac{4!}{4\%} + 4 + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
607 (3.8) $\dfrac{4! + (4! + 4)\%}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
608 (3.4) $\dfrac{4!}{4\%} + 4 + 4$ Steve Wilson, 2/08 Raytown, MO |
609 (3.6) $\sqrt{ 4\%^{-4}} - 4 \times 4$ Steve Wilson, 10/08 Raytown, MO |
610 (3.6) $\dfrac{4!}{4\%} + \dfrac{4}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
|
| 611 (3.6) $\dfrac{4! + .44}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
612 (3.8) $\dfrac{4!}{4\%} + \dfrac{4!}{\sqrt{4}}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
613 (4.0) $\sqrt{ 4\%^{-4}} - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 12/08 Raytown, MO |
614 (3.6) $\dfrac{4! + .4}{4\%} + 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
615 (3.8) $\sqrt{ 4\%^{-4}} - \dfrac{4}{.4}$ Steve Wilson, 10/08 Raytown, MO |
616 (3.4) $\dfrac{4!}{4\%} + 4 \times 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
617 (3.6) $\sqrt{ 4\%^{-4}} - 4 - 4$ Steve Wilson, 10/08 Raytown, MO |
618 (3.8) $\dfrac{4! + (4 + \sqrt{4}) \pmf}{4\%}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
619 (3.8) $\sqrt{ 4\%^{-4}} - 4 - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
620 (3.4) $4! \times 4! + 44$ Steve Wilson, 6/08 Raytown, MO |
|
| 621 (3.4) $\left( \dfrac{\sqrt{4}}{.4} \right)^4 - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
622 (3.8) $\dfrac{4!}{4\%} + 4! - \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
623 (3.6) $\left( \dfrac{\sqrt{4}}{.4} \right)^4 - \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
624 (3.6) $\sqrt{ 4\%^{-4}} - \dfrac44$ Steve Wilson, 10/08 Raytown, MO |
625 (2.4) $\dfrac{4}{4 \times 4\% \times 4\%}$ Dave Jones, 2/08 Coventry, England |
626 (3.6) $\sqrt{ 4\%^{-4}} + \dfrac44$ Steve Wilson, 10/08 Raytown, MO |
627 (3.6) $\left( \dfrac{\sqrt{4}}{.4} \right)^4 + \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
628 (3.6) $\dfrac{4!}{4\%} + 4! + 4$ Steve Wilson, 2/08 Raytown, MO |
629 (3.4) $\left( \dfrac{\sqrt{4}}{.4} \right)^4 + 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
630 (3.2) $\dfrac{4^4 - 4}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
|
| 631 (3.8) $\sqrt{ 4\%^{-4}} + 4 + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
632 (3.6) $\dfrac{4!}{4\%} + \sqrt[.4]{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
633 (3.6) $\sqrt{ 4\%^{-4}} + 4 + 4$ Steve Wilson, 10/08 Raytown, MO |
634 (3.8) $\dfrac{4! + .4}{4\%} + 4!$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
635 (3.4) $\dfrac{4^4 - \sqrt{4}}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
636 (3.2) $\dfrac{4^4}{.4} - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
637 (4.0) $\sqrt{ 4\% ^{-4}} + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 12/08 Raytown, MO |
638 (3.4) $\dfrac{4^4}{.4} - \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
639 (3.4) $\dfrac{4^4 - .4}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
640 (3.4) $(4! - 4) \times \sqrt[.4]{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
|
| 641 (3.4) $\dfrac{4^4 + .4}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
642 (3.4) $\dfrac{4^4}{.4} + \sqrt{4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
643 (5.0) $\dfrac{4^4}{.4} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
644 (3.2) $\dfrac{4^4}{.4} + 4$ Steve Wilson, 10/08 Raytown, MO |
645 (3.4) $\dfrac{4^4 + \sqrt{4}}{.4}$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
646 (3.6) $\dfrac{4! + \sqrt{4}}{4\%} - 4$ Paolo Pellegrini, 9/08 Martina Franca, Italy |
647 (4.0) $\sqrt{ 4\%^{-4}} + 4! - \sqrt{4}$ Steve Wilson, 12/08 Raytown, MO |
648 (3.6) $4! \times (4! + 4) - 4!$ Steve Wilson, 6/08 Raytown, MO |
649 (3.6) $\left( \dfrac{\sqrt{4}}{.4} \right)^4 + 4!$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
650 (3.2) $\dfrac{4^4 + 4}{.4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
|
| 651 (3.8) $\dfrac{4! + \sqrt{4} + 4\%}{4\%}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
652 (3.8) $\dfrac{4! + \sqrt{4}}{4\%} + \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
653 (3.8) $\sqrt{ 4\%^{-4}} + 4! + 4$ Steve Wilson, 10/08 Raytown, MO |
654 (3.6) $\dfrac{4! + \sqrt{4}}{4\%} + 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
655 (4.0) $\dfrac{4! + \sqrt{4} + \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
656 (3.8) $\dfrac{44}{\sqrt{.\overline{4}\%}} - 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
657 (4.2) $\dfrac{44 - \sqrt{4\%}}{\sqrt{.\overline{4}\%}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
658 (4.0) $\dfrac{44}{\sqrt{.\overline{4}\%}} - \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
659 (4.6) $\dfrac{44 - \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 10/08 Raytown, MO |
660 (3.6) $(4 - 4\%) \times \dfrac{4}{4! \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
|
| 661 (4.6) $\dfrac{44 + \sqrt{.\overline{4}\%}}{\sqrt{.\overline{4}\%}}$ Steve Wilson, 10/08 Raytown, MO |
662 (4.0) $\dfrac{44}{\sqrt{.\overline{4}\%}} + \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
663 (4.2) $\dfrac{44 + \sqrt{4\%}}{\sqrt{.\overline{4}\%}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
664 (3.4) $\dfrac{4^4}{.4} + 4!$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
665 (3.6) $\dfrac{4 \times 4 - 4\%}{4! \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
666 (3.6) $(4 - 4\pmf) \times \dfrac{4}{4! \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
667 (3.8) $(4 + (\sqrt{4}) \pmf) \times \dfrac{4}{4! \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
668 (3.4) $4! \times (4! + 4) - 4$ Steve Wilson, 6/08 Raytown, MO |
669 (3.6) $\sqrt{ 4\%^{-4}} + 44$ Steve Wilson, 10/08 Raytown, MO |
670 (3.6) $4! \times (4! + 4) - \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
|
| 671 (3.8) $\dfrac{4!}{(4 - .\overline{4})\%} - 4$ Paolo Pellegrini, 8/09 Martina Franca, Italy |
672 (3.4) $4! \times (\sqrt[.4]{4} - 4)$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
673 (4.0) $\sqrt{ 4\%^{-4}} + 4! + 4!$ Steve Wilson, 10/08 Raytown, MO |
674 (3.6) $4! \times (4! + 4) + \sqrt{4}$ Steve Wilson, 6/08 Raytown, MO |
675 (2.6) $\dfrac{4 - \dfrac44}{.\overline{4}\%}$ Dave Jones, 12/07 Coventry, England |
676 (3.4) $4! \times (4! + 4) + 4$ Steve Wilson, 6/08 Raytown, MO |
677 (4.0) $\dfrac{4!}{(4 - .\overline{4})\%} + \sqrt{4}$ Steve Wilson, 8/09 Raytown, MO |
678 (3.8) $\sqrt{(4! + \sqrt{4})^4} + \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
679 (3.8) $\dfrac{4!}{(4 - .\overline{4})\%} + 4$ Steve Wilson, 8/09 Raytown, MO |
680 (3.6) $\sqrt{(4! + \sqrt{4})^4} + 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
|
| 681 (5.4) $\sqrt{(4! + \sqrt{4})^4} + \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
682 (5.6) $\sqrt{(4! + \sqrt{4})^4} + \left( \coth\ln \sqrt{\sqrt{4}} \right)!$ Steve Wilson, 8/09 Raytown, MO |
683 (5.4) $\dfrac{ \coth\ln \sqrt{\sqrt{4}}}{.\overline{4}\%} + 4 + 4$ Steve Wilson, 8/09 Raytown, MO |
684 (4.0) $4! \times \left(4! + \dfrac{\sqrt{4}}{.\overline{4}} \right)$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
685 (4.0) $\sqrt{ 4\%^{-4}} + \dfrac{4!}{.4}$ Steve Wilson, 10/08 Raytown, MO |
686 (4.2) $\dfrac{ \sqrt[\sqrt{.\overline{4}}]{\sqrt{4} - 4\%}}{4 \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
687 (5.8) $\dfrac{\coth\ln \sqrt{\sqrt{4}}}{.\overline{4}\%} + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
688 (3.6) $\left( \dfrac{4!}{4} \right)! - \sqrt[.4]{4}$ Steve Wilson, 10/08 Raytown, MO |
689 (4.4) $\sqrt{ 4\%^{-4}} + \sqrt{\sqrt{\sqrt{4^{4!}}}}$ Steve Wilson, 12/08 Raytown, MO |
690 (4.2) $\left( \dfrac{4!}{4} \right)! - \sqrt{ \dfrac{4}{.\overline{4}\%}}$ Steve Wilson, 10/08 Raytown, MO |
|
| 691 (5.4) $\dfrac{\coth\ln \sqrt{\sqrt{4}}}{.\overline{4}\%} + 4 \times 4$ Steve Wilson, 8/09 Raytown, MO |
692 (3.6) $\left( \dfrac{4!}{4} \right)! - 4! - 4$ Steve Wilson, 10/08 Raytown, MO |
693 (5.4) $\left( \dfrac{4!}{4} \right)! - 4! - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
694 (3.8) $\left( \dfrac{4!}{4} \right)! - 4! - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
695 (3.8) $\dfrac{4! + 4 - \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
696 (3.4) $\dfrac{4! + 4}{4\%} - 4$ Brad Anderson, 9/06 Overland Park, KS |
697 (5.2) $\dfrac{4! + 4}{4\%} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
698 (3.6) $\dfrac{4! + 4}{4\%} - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
699 (3.6) $\dfrac{4! + 4 - 4\%}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
700 (3.4) $\dfrac{4^4 + 4!}{.4}$ Steve Wilson, 10/08 Raytown, MO |
|
| 701 (3.6) $\dfrac{4! + 4 + 4\%}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
702 (3.6) $\dfrac{4! + 4}{4\%} + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
703 (5.2) $\dfrac{4! + 4}{4\%} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
704 (2.0) $4 \times 44 \times 4$ Tim Murphy, 5/03 Olathe, KS |
705 (3.8) $\dfrac{4! + 4 + \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
706 (3.8) $\dfrac{4! + 4 + 4!\%}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
707 (5.8) $\left(\left( \coth\ln \sqrt{\sqrt{4}} \right)!\right)! - \dfrac{4! + \sqrt{4}}{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
708 (3.8) $\left( \dfrac{4!}{4} \right)! - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 10/08 Raytown, MO |
709 (5.2) $\left(\left( \coth\ln \sqrt{\sqrt{4}} \right)!\right)! - \dfrac{44}{4}$ Steve Wilson, 8/09 Raytown, MO |
710 (3.2) $\dfrac{4 - .4 - .\overline{4}}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
|
| 711 (3.8) $\left( \dfrac{4!}{4} \right)! - \dfrac{4}{.\overline{4}}$ Steve Wilson, 10/08 Raytown, MO |
712 (3.4) $\left( \dfrac{4!}{4} \right)! - 4 - 4$ Steve Wilson, 10/08 Raytown, MO |
713 (5.2) $\left( \dfrac{4!}{4} \right)! - 4 - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
714 (3.6) $\left( \dfrac{4!}{4} \right)! - 4 - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
715 (3.8) $\left( \dfrac{4!}{4} \right)! - \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 10/08 Raytown, MO |
716 (3.4) $\left( \dfrac{4}{.4} - 4 \right)! - 4$ Steve Wilson, 10/08 Raytown, MO |
717 (4.0) $\left( \dfrac{4!}{4} \right)! - \sqrt{ \dfrac{4}{.\overline{4}}}$ Steve Wilson, 10/08 Raytown, MO |
718 (3.6) $\left( \dfrac{4}{.4} - 4 \right)! - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
719 (3.4) $\left( \dfrac{4!}{4} \right)! - \dfrac44$ Steve Wilson, 10/08 Raytown, MO |
720 (2.6) $\dfrac{4}{\left( \dfrac44 - .\overline{4} \right)\%}$ Steve Wilson, 10/08 Raytown, MO |
|
| 721 (3.4) $\left( \dfrac{4!}{4} \right)! + \dfrac44$ Steve Wilson, 10/08 Raytown, MO |
722 (3.6) $\left( \dfrac{4}{.4} - 4 \right)! + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
723 (4.0) $\left( \dfrac{4!}{4} \right)! + \sqrt{ \dfrac{4}{.\overline{4}}}$ Steve Wilson, 10/08 Raytown, MO |
724 (3.4) $\left( \dfrac{4}{.4} - 4 \right)! + 4$ Steve Wilson, 10/08 Raytown, MO |
725 (3.8) $\left( \dfrac{4!}{4} \right)! + \dfrac{\sqrt{4}}{.4}$ Steve Wilson, 10/08 Raytown, MO |
726 (3.6) $\left( \dfrac{4!}{4} \right)! + 4 + \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
727 (5.2) $\left( \dfrac{4!}{4} \right)! + 4 + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
728 (3.4) $\left( \dfrac{4!}{4} \right)! + 4 + 4$ Steve Wilson, 10/08 Raytown, MO |
729 (3.8) $\left( \dfrac{4!}{4} \right)! + \dfrac{4}{.\overline{4}}$ Steve Wilson, 10/08 Raytown, MO |
730 (3.6) $\left( \dfrac{4!}{4} \right)! + \dfrac{4}{.4}$ Steve Wilson, 10/08 Raytown, MO |
|
| 731 (5.2) $\left(\left( \coth\ln \sqrt{\sqrt{4}} \right)! \right)! + \dfrac{44}{4}$ Steve Wilson, 8/09 Raytown, MO |
732 (3.8) $\left( \dfrac{4!}{4} \right)! + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 10/08 Raytown, MO |
733 (5.8) $\left(\left( \coth\ln \sqrt{\sqrt{4}} \right)! \right)! + \dfrac{4! + \sqrt{4}}{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
734 (4.6) $\dfrac{4}{(\csch \ln 4)\%} - 4 \times 4$ Steve Wilson, 8/09 Raytown, MO |
735 (4.0) $\dfrac{ \sqrt{(4 + \sqrt{4\%})^4}}{4! \pmf}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
736 (3.4) $\left( \dfrac{4!}{4} \right)! + 4 \times 4$ Steve Wilson, 10/08 Raytown, MO |
737 (5.6) $\left(\left( \coth\ln \sqrt{\sqrt{4}} \right)! \right)! + 4 \times (4 + \cot\arctan 4)$ Steve Wilson, 8/09 Raytown, MO |
738 (5.0) $\dfrac{4}{(\csch \ln 4)\%} - \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
739 (5.2) $\dfrac{ \coth\ln \sqrt{\sqrt{4}} - 44 \pmf}{4 \pmf}$ Steve Wilson, 8/09 Raytown, MO |
740 (3.6) $\left( \dfrac{4!}{4} \right)! + 4! - 4$ Steve Wilson, 10/08 Raytown, MO |
|
| 741 (4.4) $\dfrac{\sqrt{4} - 4! \pmf}{4 \pmf \times \sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
742 (3.8) $\left( \dfrac{4!}{4} \right)! + 4! - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
743 (5.4) $\left(\left( \coth\ln \sqrt{\sqrt{4}} \right)! \right)! + 4! - \dfrac44$ Steve Wilson, 8/09 Raytown, MO |
744 (3.2) $\dfrac{4}{4 \pmf} - 4^4$ Steve Wilson, 10/08 Raytown, MO |
745 (4.2) $\sqrt{ 4\%^{-4}} + \left( \dfrac{\sqrt{4}}{.4} \right)!$ Steve Wilson, 12/08 Raytown, MO |
746 (3.6) $\dfrac{4!}{(\sqrt[.4]{4}) \pmf} - 4$ Steve Wilson, 10/08 Raytown, MO |
747 (4.2) $\dfrac{ \dfrac{\sqrt{4}}{4 \pmf} - \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
748 (3.6) $\left( \dfrac{4!}{4} \right)! + 4! + 4$ Steve Wilson, 10/08 Raytown, MO |
749 (4.0) $\dfrac{ \dfrac{\sqrt{4}}{\left(\sqrt{.\overline{4}} \right)\pmf} - 4}{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
750 (2.4) $\dfrac{4 - \dfrac44}{.4\%}$ Dave Jones, 10/07 Coventry, England |
|
| 751 (4.0) $\dfrac{ \dfrac{\sqrt{4}}{\left( \sqrt{.\overline{4}} \right) \pmf} + 4}{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
752 (3.6) $\left( \dfrac{4!}{4} \right)! + \sqrt[.4]{4}$ Steve Wilson, 10/08 Raytown, MO |
753 (4.2) $\dfrac{\dfrac{\sqrt{4}}{4 \pmf} + \sqrt{4}}{\sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
754 (3.6) $\dfrac{4!}{(\sqrt[.4]{4}) \pmf} + 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
755 (5.4) $\dfrac{4!}{(\sqrt[.4]{4}) \pmf} + \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
756 (3.4) $\dfrac{\sqrt{4}}{4 \pmf} + 4^4$ Steve Wilson, 10/08 Raytown, MO |
757 (5.4) $\dfrac{4}{(\csch\ln 4)\%} + 4 + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
758 (4.6) $\dfrac{4}{(\csch\ln 4)\%} + 4 + 4$ Steve Wilson, 8/09 Raytown, MO |
759 (4.4) $\dfrac{\sqrt{4} + 4! \pmf}{4 \pmf \times \sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
760 (3.2) $\dfrac{.4 + .\overline{4}}{.\overline{4}\%} \times 4$ Steve Wilson, 10/08 Raytown, MO |
|
| 761 (5.2) $\dfrac{ \coth\ln \sqrt{\sqrt{4}} + 44 \pmf}{4 \pmf}$ Steve Wilson, 8/09 Raytown, MO |
762 (5.0) $\dfrac{4}{(\csch \ln 4)\%} + \dfrac{4!}{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
763 (5.2) $4! \times \sqrt[.4]{4} - \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
764 (3.4) $\left( \dfrac{4!}{4} \right)! + 44$ Steve Wilson, 10/08 Raytown, MO |
765 (4.2) $\dfrac{\sqrt{4} + 4\%}{4 \pmf \times \sqrt{.\overline{4}}}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
766 (3.6) $4! \times \sqrt[.4]{4} - \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
767 (5.2) $4! \times \sqrt[.4]{4} - \tan\arcsec \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
768 (3.2) $4! \times (4 + 4) \times 4$ Steve Wilson, 10/08 Raytown, MO |
769 (5.2) $4! \times \sqrt[.4]{4} + \tan\arcsec \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
770 (3.8) $\left( \dfrac{4!}{4} \right)! + \dfrac{\sqrt{4}}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
|
| 771 (5.2) $4! \times \sqrt[.4]{4} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
772 (3.4) $4! \times \sqrt[.4]{4} + 4$ Steve Wilson, 10/08 Raytown, MO |
773 (5.2) $4! \times \sqrt[.4]{4} + \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
774 (3.8) $\dfrac{4!}{(\sqrt[.4]{4}) \pmf} + 4!$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
775 (3.0) $\dfrac{4 - \dfrac{.4}{.\overline{4}}}{.4\%}$ Steve Wilson, 10/08 Raytown, MO |
776 (3.6) $\dfrac{\sqrt[.4]{4}}{4\%} - 4!$ Steve Wilson, 10/08 Raytown, MO |
777 (5.8) $\dfrac{\sqrt{4}}{(\cot\arctan 4)\%} - 4! + \tan\arcsec \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
778 (4.8) $\dfrac{4}{(\csch\ln 4)\%} + 4! + 4$ Steve Wilson, 8/09 Raytown, MO |
779 (5.2) $\sqrt{(4! + 4)^4} - \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
780 (3.8) $\left( \dfrac{4!}{4} \right)! + \dfrac{4!}{.4}$ Steve Wilson, 10/08 Raytown, MO |
|
| 781 (5.2) $\sqrt{(4! + 4)^4} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
782 (3.6) $\sqrt{(4! + 4)^4} - \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
783 (5.2) $\sqrt{(4! + 4)^4} - \tan\arcsec\sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
784 (3.4) $(4! + 4) \times (4! + 4)$ Steve Wilson, 10/08 Raytown, MO |
785 (5.2) $\sqrt{(4! + 4)^4} + \tan\arcsec \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
786 (3.6) $\sqrt{(4! + 4)^4} + \sqrt{4}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
787 (5.2) $\sqrt{(4! + 4)^4} + \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
788 (3.4) $\sqrt{(4! + 4)^4} + 4$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
789 (5.2) $\sqrt{(4! + 4)^4} + \cot\arctan \sqrt{4\%}$ Steve Wilson, 8/09 Raytown, MO |
790 (3.6) $\dfrac{\sqrt[.4]{4} - .4}{4\%}$ Steve Wilson, 10/08 Raytown, MO |
|
| 791 (3.2) $\dfrac{4 - .\overline{4} - 4\%}{.\overline{4}\%}$ Steve Wilson, 10/08 Raytown, MO |
792 (3.6) $4! \times \sqrt[.4]{4} + 4!$ Steve Wilson, 10/08 Raytown, MO |
793 (5.6) $\dfrac{\sqrt{4}}{(\cot\arctan 4)\%} - 4 - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
794 (4.6) $\dfrac{4}{(\csch \ln 4)\%} + 44$ Steve Wilson, 10/23 Lawrence, KS |
795 (3.8) $\dfrac{ \sqrt[.4]{4} - \sqrt{4\%}}{4\%}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
796 (3.0) $\dfrac{4 - .\overline{4}}{.\overline{4}\%} - 4$ Steve Wilson, 10/08 Raytown, MO |
797 (5.2) $4 \times \dfrac{4}{(\sqrt{4})\%} - \coth\ln \sqrt{\sqrt{4}}$ Steve Wilson, 8/09 Raytown, MO |
798 (3.6) $\dfrac{\sqrt[.4]{4}}{4\%} - \sqrt{4}$ Steve Wilson, 10/08 Raytown, MO |
799 (3.6) $\dfrac{ \sqrt[.4]{4} - 4\%}{4\%}$ Paolo Pellegrini, 10/08 Martina Franca, Italy |
800 (2.2) $(4 + 4) \times \dfrac{4}{4\%}$ Dave Jones, 3/07 Coventry, England |
Page 1 (1-400), Page 2 (401-800), Page 3 (801-1200), Page 4 (1201-1600), Page 5 (1601-2000), Page 6 (2001-2400), Page 7 (2401-2800), Page 8 (2801-3200), Page 9 (3201-3600), Page 10 (3601-4000), Page 11 (4001+).