This problem was proposed by Integermaniac master Pellegrini Paolo.  Create each of the positive integers using four copies of 1, 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!  Five "new" or "improved" solutions per person per month are accepted.

Note:  If the math symbols are not displaying correctly, you need to upgrade your browser to either IE 6.0 or Netscape 6.0 or better.  This page will print nicely using the "shrink to fit" option in Netscape, with landscape orientation and narrow margins.

	1 (1.0)  1 + 1 – 1 × 1 Pellegrini Paolo, 3/09 Martina Franca, Italy	2 (1.0)  1 + 1 + 1 – 1 Pellegrini Paolo, 3/09 Martina Franca, Italy	3 (1.0)  1 + 1 + 1 × 1 Pellegrini Paolo, 3/09 Martina Franca, Italy	4 (1.0)  1 + 1 + 1 + 1 Pellegrini Paolo, 3/09 Martina Franca, Italy	5 (2.2)   Ralph Jeffords, 5/09 Centreville, VA	6 (2.4)   + 1 Steve Wilson, 4/09 Raytown, MO	7 (2.4)   – 1 – 1 Ralph Jeffords, 3/09 Centreville, VA	8 (2.2)   – 1 – 1 Ralph Jeffords, 4/09 Centreville, VA	9 (2.0)  11 – 1 – 1 Steve Wilson, 3/09 Raytown, MO	10 (2.0)  11 – 1 × 1 Steve Wilson, 3/09 Raytown, MO
	11 (2.0)  11 – 1 + 1 Steve Wilson, 3/09 Raytown, MO	12 (2.0)  11 + 1 × 1 Steve Wilson, 3/09 Raytown, MO	13 (2.0)  11 + 1 + 1 Steve Wilson, 3/09 Raytown, MO	14 (3.6)  11 + Ralph Jeffords, 4/09 Centreville, VA	15 (3.8)   Pellegrini Paolo, 4/09 Martina Franca, Italy	16 (4.0)   + 1 Pellegrini Paolo, 4/09 Martina Franca, Italy	17 (2.4)   – 1 Ralph Jeffords, 3/09 Centreville, VA	18 (2.4)   Ralph Jeffords, 3/09 Centreville, VA	19 (2.2)   – 1 Steve Wilson, 4/09 Raytown, MO	20 (2.2)   × 1 Steve Wilson, 4/09 Raytown, MO
	21 (2.2)   + 1 Steve Wilson, 4/09 Raytown, MO	22 (2.0)  11 + 11 Steve Wilson, 4/09 Raytown, MO	23 (3.8)   – 1 Pellegrini Paolo, 4/09 Martina Franca, Italy	24 (3.2)  (1 + 1 + 1 + 1)! Carolyn Neptune, 3/09 Prairie Village, KS	25 (3.4)   Pellegrini Paolo, 4/09 Martina Franca, Italy	26 (4.0)   – 1 Pellegrini Paolo, 4/09 Martina Franca, Italy	27 (2.4) Carolyn Neptune, 3/09 Prairie Village, KS	28 (3.8)   – 1 – 1 Ralph Jeffords, 6/09 Centreville, VA	29 (3.8)   – 1 Ralph Jeffords, 5/09 Centreville, VA	30 (2.2)   Dave Jones, 4/09 Coventry, England
	31 (3.8)   + 1 Ralph Jeffords, 5/09 Centreville, VA	32 (3.4) Ralph Jeffords, 4/09 Centreville, VA	33 (3.6)  11 × Ralph Jeffords, 5/09 Centreville, VA	34 (3.6)   + 1 Pellegrini Paolo, 5/09 Martina Franca, Italy	35 (4.6)   Ralph Jeffords, 6/09 Centreville, VA	36 (3.6) Pellegrini Paolo, 5/09 Martina Franca, Italy	37 (3.6) 111 × Pellegrini Paolo, 5/09 Martina Franca, Italy	38 (4.4)   + 11 Ralph Jeffords, 8/09 Centreville, VA	39 (4.2)   + Ralph Jeffords, 6/09 Centreville, VA	40 (3.8) Pellegrini Paolo, 5/09 Martina Franca, Italy
	41 (3.8) + 11 Pellegrini Paolo, 5/09 Martina Franca, Italy	42 (4.6) (1 + 1) × Steve Wilson, 9/09 Raytown, MO	43 (4.8) –log(1%%) × 11 – 1 Ralph Jeffords, 10/09 Centreville, VA	44 (3.2)   – 1 Ralph Jeffords, 8/09 Centreville, VA	45 (2.4)   Dave Jones, 4/09 Coventry, England	46 (3.2)   + 1 Ralph Jeffords, 8/09 Centreville, VA	47 (4.6) + log(1‰) Ralph Jeffords, 10/09 Centreville, VA	48 (4.6) + log(1%) Steve Wilson, 9/09 Raytown, MO	49 (2.2)   – 1 Dave Jones, 4/09 Coventry, England	50 (2.2)   × 1 Dave Jones, 4/09 Coventry, England
	51 (2.2)   + 1 Dave Jones, 4/09 Coventry, England	52 (4.6) – log(1%) Steve Wilson, 9/09 Raytown, MO	53 (4.6) – log(1‰) Ralph Jeffords, 10/09 Centreville, VA	54 (3.6) Carolyn Neptune, 3/09 Prairie Village, KS	55 (2.2) Steve Wilson, 5/09 Raytown, MO	56 (4.6) 1 – Steve Wilson, 10/09 Raytown, MO	57 (4.0) Pellegrini Paolo, 6/09 Martina Franca, Italy	58 (5.0) – 1 – 1 Ralph Jeffords, 11/09 Centreville, VA	59 (3.8) – 1 Pellegrini Paolo, 6/09 Martina Franca, Italy	60 (3.4) Pellegrini Paolo, 6/09 Martina Franca, Italy
	61 (3.8) + 1 Pellegrini Paolo, 6/09 Martina Franca, Italy	62 (4.4) Ralph Jeffords, 11/09 Centreville, VA	63 (3.8) Pellegrini Paolo, 6/09 Martina Franca, Italy	64 (3.8) Steve Wilson, 9/09 Raytown, MO	65 (4.6) Pellegrini Paolo, 10/09 Martina Franca, Italy	66 (3.8) × 11 Pellegrini Paolo, 7/09 Martina Franca, Italy	67 (4.4) + Pellegrini Paolo, 10/09 Martina Franca, Italy	68 (5.2) – 1 – 1 Ralph Jeffords, 11/09 Centreville, VA	69 (4.4) Pellegrini Paolo, 10/09 Martina Franca, Italy	70 (3.8) Pellegrini Paolo, 7/09 Martina Franca, Italy
	71 (4.2) Pellegrini Paolo, 10/09 Martina Franca, Italy	72 (2.8) Steve Wilson, 5/09 Raytown, MO	73 (4.2) × .1 + 1 Ralph Jeffords, 11/09 Centreville, VA	74 (3.8) – 1 Pellegrini Paolo, 7/09 Martina Franca, Italy	75 (3.8) × 1 Pellegrini Paolo, 7/09 Martina Franca, Italy	76 (3.8) + 1 Ralph Jeffords, 7/09 Centreville, VA			79 (2.8) – 11 Steve Wilson, 5/09 Raytown, MO	80 (2.6) Ralph Jeffords, 9/09 Centreville, VA
	81 (2.8) Ralph Jeffords, 9/09 Centreville, VA	82 (2.8) + 1 Ralph Jeffords, 9/09 Centreville, VA	83 (4.8) + 1 + 1 Steve Wilson, 10/09 Raytown, MO	84 (4.6)   – Kevin Schwarz, 8/09 Olathe, Kansas			87 (4.4)   – Kevin Schwarz, 7/09 Olathe, Kansas	88 (2.8) – 1 – 1 Steve Wilson, 5/09 Raytown, MO	89 (2.2)   – 11 Kevin Schwarz, 7/09 Olathe, Kansas	90 (2.4) – Ralph Jeffords, 9/09 Centreville, VA
	91 (2.6) + 1 Ralph Jeffords, 9/09 Centreville, VA	92 (2.8) + 1 + 1 Steve Wilson, 5/09 Raytown, MO	93 (4.4)   + Kevin Schwarz, 7/09 Olathe, Kansas	94 (4.0)   – Ralph Jeffords, 7/09 Centreville, VA	95 (4.8) – 1 + log(1%%) Steve Wilson, 9/09 Raytown, MO	96 (4.6)   + Kevin Schwarz, 8/09 Olathe, Kansas	97 (3.8)   – Kevin Schwarz, 7/09 Olathe, Kansas	98 (2.2)   – 1 – 1 Kevin Schwarz, 6/09 Olathe, Kansas	99 (2.2)   – 1 × 1 Kevin Schwarz, 6/09 Olathe, Kansas	100 (2.2)   × 1 × 1 Kevin Schwarz, 6/09 Olathe, Kansas
	101 (2.2)   + 1 × 1 Kevin Schwarz, 6/09 Olathe, Kansas	102 (2.2)   + 1 + 1 Kevin Schwarz, 6/09 Olathe, Kansas	103 (3.8)   + Kevin Schwarz, 7/09 Olathe, Kansas	104 (4.6) – log(1‰) + 1 Steve Wilson, 10/09 Raytown, MO	105 (4.8) – log(1%%) + 1 Steve Wilson, 10/09 Raytown, MO	106 (4.0)   + Kevin Schwarz, 8/09 Olathe, Kansas		108 (2.4) Ralph Jeffords, 7/09 Centreville, VA	109 (2.2) – 1 Ralph Jeffords, 7/09 Centreville, VA	110 (2.0)  111 – 1 Kevin Schwarz, 4/09 Olathe, Kansas
	111 (2.0) 111 × 1 Brooke Atkinson, 4/09 Olathe, KS	112 (2.0)  111 + 1 Kevin Schwarz, 4/09 Olathe, Kansas						118 (3.2) Pellegrini Paolo, 8/09 Martina Franca, Italy	119 (3.6) – 1 Steve Wilson, 8/09 Raytown, MO	120 (2.2) Ralph Jeffords, 7/09 Centreville, VA
	121 (2.0) 11 × 11 Brooke Atkinson, 6/09 Olathe, KS	122 (4.6) + 1 Steve Wilson, 10/09 Raytown, MO			125 (2.6) Pellegrini Paolo, 7/09 Martina Franca, Italy					130 (3.8) Ralph Jeffords, 10/09 Centreville, VA
		162 (2.8) Pellegrini Paolo, 9/09 Martina Franca, Italy			165 (4.0) Pellegrini Paolo, 9/09 Martina Franca, Italy
	171 (3.2) Pellegrini Paolo, 9/09 Martina Franca, Italy								179 (3.0) – 1 Pellegrini Paolo, 9/09 Martina Franca, Italy	180 (2.4) Pellegrini Paolo, 9/09 Martina Franca, Italy
										190 (2.4) Steve Wilson, 8/09 Raytown, MO
									199 (2.2) – 1 Steve Wilson, 8/09 Raytown, MO	200 (2.2) × (1 + 1) Steve Wilson, 8/09 Raytown, MO
	201 (2.2) + 1 Steve Wilson, 8/09 Raytown, MO
					225 (2.6) Pellegrini Paolo, 8/09 Martina Franca, Italy
	991 (2.6) + 1 Pellegrini Paolo, 8/09 Martina Franca, Italy							998 (2.4) – 1 – 1 Pellegrini Paolo, 8/09 Martina Franca, Italy	999 (2.4) × 1 – 1 Pellegrini Paolo, 8/09 Martina Franca, Italy	1000 (2.2) Lisa Fisher, 7/09 Lawrence, KS
										11100 (2.2) Lisa Fisher, 7/09 Lawrence, KS
										111000 (2.4) Lisa Fisher, 7/09 Lawrence, KS
										googol (3.4) Pellegrini Paolo, 3/09 Martina Franca, Italy
										googolplex (3.8) Ralph Jeffords, 4/09 Centreville, VA