vampire numbers.ipynb

Kernel: Python 3 (system-wide)

def is_a_vampire(n):
    if len(str(n)) % 2 != 0:
        return False
    for i in range(1, int((n) ** (1/2))):
        if n % i == 0:
            j = n // i
            if len(str(i)) == len(str(j)):
                if sorted(str(i) + str(j)) == sorted(str(n)):
                    return (i,j)
    return False

for n in range(200000):
    v = is_a_vampire(n)
    if v:
        print(n, "=", " x ".join(str(e) for e in v))

1260 = 21 x 60
1395 = 15 x 93
1435 = 35 x 41
1530 = 30 x 51
1827 = 21 x 87
2187 = 27 x 81
6880 = 80 x 86
102510 = 201 x 510
104260 = 260 x 401
105210 = 210 x 501
105264 = 204 x 516
105750 = 150 x 705
108135 = 135 x 801
110758 = 158 x 701
115672 = 152 x 761
116725 = 161 x 725
117067 = 167 x 701
118440 = 141 x 840
120600 = 201 x 600
123354 = 231 x 534
124483 = 281 x 443
125248 = 152 x 824
125433 = 231 x 543
125460 = 204 x 615
125500 = 251 x 500
126000 = 210 x 600
126027 = 201 x 627
126846 = 261 x 486
129640 = 140 x 926
129775 = 179 x 725
131242 = 311 x 422
132430 = 323 x 410
133245 = 315 x 423
134725 = 317 x 425
135828 = 231 x 588
135837 = 351 x 387
136525 = 215 x 635
136948 = 146 x 938
139500 = 150 x 930
140350 = 350 x 401
143500 = 350 x 410
145314 = 351 x 414
146137 = 317 x 461
146952 = 156 x 942
150300 = 300 x 501
152608 = 251 x 608
152685 = 261 x 585
153000 = 300 x 510
153436 = 356 x 431
156240 = 240 x 651
156289 = 269 x 581
156915 = 165 x 951
162976 = 176 x 926
163944 = 396 x 414
172822 = 221 x 782
173250 = 231 x 750
174370 = 371 x 470
175329 = 231 x 759
180225 = 225 x 801
180297 = 201 x 897
182250 = 225 x 810
182650 = 281 x 650
182700 = 210 x 870
186624 = 216 x 864
190260 = 210 x 906
192150 = 210 x 915
193257 = 327 x 591
193945 = 395 x 491
197725 = 275 x 719