Thursday, February 24, 2011

Square of 2 consecutive numbers using the same digits

Here are squares of 2 consecutive numbers that use the same digits:

157^2 = 24,649 .... 158^2 = 24,964.

Others:

13^2 = 169 ... 14^2 = 196

913^2 = 833,569 ... 914^2 = 835,396


Could you find others?
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1 comment:

  1. PaulApril 15, 2011 at 3:33 AM

    All those <250,000

    N N^2 N+1 (N+1)^2
    4513 = 20367169 4514 = 20376196
    14647 = 214534609 14648 = 214563904
    19201 = 368678401 19202 = 368716804
    19291 = 372142681 19292 = 372181264
    19813 = 392554969 19814 = 392594596
    20191 = 407676481 20192 = 407716864
    27778 = 771617284 27779 = 771672841
    31828 = 1013021584 31829 = 1013085241
    34825 = 1212780625 34826 = 1212850276
    37471 = 1404075841 37472 = 1404150784
    39586 = 1567051396 39587 = 1567130569
    40297 = 1623848209 40298 = 1623928804
    50386 = 2538748996 50387 = 2538849769
    53536 = 2866103296 53537 = 2866210369
    53842 = 2898960964 53843 = 2899068649
    54913 = 3015437569 54914 = 3015547396
    62986 = 3967236196 62987 = 3967362169
    64021 = 4098688441 64022 = 4098816484
    70267 = 4937451289 70268 = 4937591824
    76513 = 5854239169 76514 = 5854392196
    78241 = 6121654081 78242 = 6121810564
    82597 = 6822264409 82598 = 6822429604
    89356 = 7984494736 89357 = 7984673449
    98347 = 9672132409 98348 = 9672329104
    100147 = 10029421609 100148 = 10029621904
    100597 = 10119756409 100598 = 10119957604
    103909 = 10797080281 103910 = 10797288100
    106528 = 11348214784 106529 = 11348427841
    111847 = 12509751409 111848 = 12509975104
    115024 = 13230520576 115025 = 13230750625
    117391 = 13780646881 117392 = 13780881664
    125986 = 15872472196 125987 = 15872724169
    128047 = 16396034209 128048 = 16396290304
    130036 = 16909361296 130037 = 16909621369
    130657 = 17071251649 130658 = 17071512964
    133402 = 17796093604 133403 = 17796360409
    134842 = 18182364964 134843 = 18182634649
    142672 = 20355299584 142673 = 20355584929
    143221 = 20512254841 143222 = 20512541284
    150736 = 22721341696 150737 = 22721643169
    154957 = 24011671849 154958 = 24011981764
    155236 = 24098215696 155237 = 24098526169
    157027 = 24657478729 157028 = 24657792784
    158314 = 25063322596 158315 = 25063639225
    161563 = 26102602969 161564 = 26102926096
    163363 = 26687469769 163364 = 26687796496
    167035 = 27900691225 167036 = 27901025296
    168457 = 28377760849 168458 = 28378097764
    169744 = 28813025536 169745 = 28813365025
    178978 = 32033124484 178979 = 32033482441
    179266 = 32136298756 179267 = 32136657289
    193432 = 37415938624 193433 = 37416325489
    194278 = 37743941284 194279 = 37744329841
    202801 = 41128245601 202802 = 41128651204
    204754 = 41924200516 204755 = 41924610025
    205267 = 42134541289 205268 = 42134951824
    210271 = 44213893441 210272 = 44214313984
    217984 = 47517024256 217985 = 47517460225
    223411 = 49912474921 223412 = 49912921744
    229486 = 52663824196 229487 = 52664283169
    235237 = 55336446169 235238 = 55336916644
    248017 = 61512432289 248018 = 61512928324
    249007 = 62004486049 249008 = 62004984064

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