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Asked: 2026-05-13T14:34:19+00:00

I am working through the problems on project Euler and am not too certain

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I am working through the problems on project Euler and am not too certain if my understanding of the question is correct.

Problem 8 is as follows:

Find the greatest product of five consecutive digits in the 1000-digit number.

I have taken this to mean the following:

I need to find any five numbers that run consecutively in the 1000 digit number and then add these up to get the total. I am assuming that the size of the numbers could be anything, i.e. 1,2,3 or 12,13,14 or 123,124,124 or 1234,1235,1236 etc.

Is my understanding of this correct, or have I misunderstood the question?

Note: Please don’t supply code or the solution, that I need to solve myself.

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1 Answer

  1. Editorial Team

    The number is:

    73167176531330624919225119674426574742355349194934
    96983520312774506326239578318016984801869478851843
    85861560789112949495459501737958331952853208805511
    12540698747158523863050715693290963295227443043557
    66896648950445244523161731856403098711121722383113
    62229893423380308135336276614282806444486645238749
    30358907296290491560440772390713810515859307960866
    70172427121883998797908792274921901699720888093776
    65727333001053367881220235421809751254540594752243
    52584907711670556013604839586446706324415722155397
    53697817977846174064955149290862569321978468622482
    83972241375657056057490261407972968652414535100474
    82166370484403199890008895243450658541227588666881
    16427171479924442928230863465674813919123162824586
    17866458359124566529476545682848912883142607690042
    24219022671055626321111109370544217506941658960408
    07198403850962455444362981230987879927244284909188
    84580156166097919133875499200524063689912560717606
    05886116467109405077541002256983155200055935729725
    71636269561882670428252483600823257530420752963450

    • The first five consecutive digits are: 73167. Their product is 7*3*1*6*7=882
    • The next five consecutive digits are: 31671. Their product is 3*1*6*7*1=126
    • The next five consecutive digits are: 16717. Their product is 1*6*7*1*7=294

    And so on. Note the overlap. Now, find the five consecutive digits whose product is maximal over the whole 1000-digit number.

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