Anonymous user
Talk:Brazilian numbers: Difference between revisions
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→some observations not proofs: the factorization of non brazilian numbers shows more improvements
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Line 107:
105 = 3*5*7 14 7
111 = 3*37 10 1 also "33" to base 36</pre>
I think, taking the factorization of the number leave the highest factor -1 > sqrt( number) as base and the rest as digit.Something to test.
Edit.Some more investigation:<BR>Which numbers are nonbrazilian :-)<Br>As one can see, only primes are possibly nonbrazilian
and square numbers of odd primes are nonbrazilian with only one exception found up to 10000 : 11^2
<pre>factorization of the non brazilian numbers
9 = 3^2
11 = 11
17 = 17
19 = 19
23 = 23
25 = 5^2
29 = 29
37 = 37
41 = 41
47 = 47
49 = 7^2
53 = 53
59 = 59
61 = 61
67 = 67
71 = 71
79 = 79
83 = 83
89 = 89
97 = 97
101 = 101
103 = 103
107 = 107
109 = 109
113 = 113
131 = 131
137 = 137
139 = 139
149 = 149
151 = 151
163 = 163
167 = 167
169 = 13^2
173 = 173
179 = 179
181 = 181
191 = 191
193 = 193
197 = 197
199 = 199
223 = 223
227 = 227
229 = 229
233 = 233
239 = 239
251 = 251
257 = 257
263 = 263
269 = 269
271 = 271
277 = 277
281 = 281
283 = 283
289 = 17^2
293 = 293
311 = 311
313 = 313
317 = 317
331 = 331
337 = 337
347 = 347
349 = 349
353 = 353
359 = 359
361 = 19^2
367 = 367
373 = 373
379 = 379
383 = 383
389 = 389
397 = 397
401 = 401
409 = 409
419 = 419
431 = 431
433 = 433
439 = 439
443 = 443
449 = 449
457 = 457
461 = 461
467 = 467
479 = 479
487 = 487
491 = 491
499 = 499
503 = 503
509 = 509
521 = 521
523 = 523
529 = 23^2
541 = 541
547 = 547
557 = 557
563 = 563
569 = 569
571 = 571
577 = 577
587 = 587
593 = 593
599 = 599
607 = 607
613 = 613
617 = 617
619 = 619
631 = 631
641 = 641
643 = 643
647 = 647
653 = 653
659 = 659
661 = 661
673 = 673
677 = 677
683 = 683
691 = 691
701 = 701
709 = 709
719 = 719
727 = 727
733 = 733
739 = 739
743 = 743
751 = 751
761 = 761
769 = 769
773 = 773
787 = 787
797 = 797
809 = 809
811 = 811
821 = 821
823 = 823
827 = 827
829 = 829
839 = 839
841 = 29^2
853 = 853
857 = 857
859 = 859
863 = 863
877 = 877
881 = 881
883 = 883
887 = 887
907 = 907
911 = 911
919 = 919
929 = 929
937 = 937
941 = 941
947 = 947
953 = 953
961 = 31^2
967 = 967
971 = 971
977 = 977
983 = 983
991 = 991
997 = 997
Max number 1000
now checking sqr(primes) upto 10000:
121 = 11^2
last checked 9983^2
Brazilian found 1
99494 ms</pre>
[[user:Horst.h|Horst.h]]
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