Section:

A. Introduction

B. Comparison Table

C. The Radical Narcs

D. Numbers that pwn: 2-digit; 3-digit; 4-digit ... < 2000; 4-digit ... < 4000

E. Code / Algorithm

Pretty Wild Narcissistic Numbers
– numbers that pwn

Dr Colin Rose

The 4-digit numbers that pwn ... < 2000
1285 = (1 + 2⁸)5

1288 =

1294 = -(1 × 2) + !⁴ ...

1296 = funky , funky , funky ,
funky , funky , funky , , Sqrt[((1+2)^9)/6] ...
1298 = (1 × 2) + ...

1392 = (-(1+3)! + !!)2

1426 = -14 + (2 × 6!)

1432 = 1(-4 + 3!!)2 ...

1433 = -1 + ( × 3!!) - 3! , -1 + (3!! - 3) ... (prime)

1434 = (1 - 4 + 3!!) , ((1+)!! - 3) , ((-1+4)!! - 3) , -(1+)! + (3!! × ) ...

1435 = (1×× 3!!) - 5 , (1+)!! + 3!! - 5

1436 = -(1 × 4) + 3!! + 6! ...

1439 = -1 + (3 + )! , -1 + (-3 + 9)! , 1 - + 3!! + !! ... (prime)

1440 = (1+)!! + 0 , (-1+4)!! + 0 , 1(4 - 0!)!! ...

1441 = (1+)!! + 1 , (-1+4)!! + 1 (4 solutions: the other two being variations that follow from the symmetry of 1441)

1442 = (1+)!! + 2 , (-1+4)!! + 2 , (1 + (4!/4)!)2 , (1 + (4+)!)2 ...

1443 = (1+)!! + 3 , (-1+4)!! + 3 , 1 + + 3!! , -1 + 4 + 3!! , -1 + ( + 3!!) ...

1444 = (1+)!! + 4 , (-1+4)!! + 4 , , ((1+)!! + ) , ((-1+4)!! + ) ...

1445 = (1+)!! + 5 , (-1+4)!! + 5 ...

1446 = (1+)!! + 6 , (-1+4)!! + 6 , (1+)! + 6! , (-1+4)! + 6! ...

1447 = (1+)!! + 7 , (-1+4)!! + 7 ... (prime)

1448 = (1+)!! + 8 , (-1+4)!! + 8 ...

1449 = (1+)!! + 9 , (-1+4)!! + 9 , 1 + (4 + !!) , , ...

1463 = -1 + 4! + 6! + 3!!

1464 = 16! + 4! , (1 × 4!) + (6! × ) , (1+)!! + 6! + 4! , (-1+4)!! + 6! + 4! ...

1573 = (1 + 5!)(7 + 3!)

1673 = -1 - 6 + 7! / 3

1679 = -1⁶ + 7!/ , -1 + (6! × 7)/ , 1 - (6 - 7!)/

1684 = + 8! / 4!

1704 = 4! , (1 + 70)4! ...

1764 =

1944 = 1⁴ 4! , wow

GREEN numbers: require concatenation of digits RED numbers: factorials are not needed