1, 2, 6, 42, 1806, ?

What is the next number in the series? The answer to the puzzle is as below.

3,263,442

How to get it:
1, 1*(1+1), 2(2+1), 6(6+1), 42(42+1), 1806(1806+1) = 1, 2, 6 , 42, 1806, 3263442,…
The pattern is each number multiplied by the next number, and then do the same for the answer.


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45 Responses to “1, 2, 6, 42, 1806, ?”

  1. Ali Tugrul Says:

    thank you so much. i m very happy to see this solution. if i dont see this, i can only solve in infinity :)

  2. Hy,
    today my Mathteacher asked us a question how to do this:P
    In 4 minutes I came on the solution !
    But I said to him ” That´s pretty simple:1×1+1=2,2×2+2=6,6×6+6…”
    I was the only in my class who came on this way ^^

  3. Thanks for the solution (I really didn’t get it).

    Kind regards

    Greetings from Zurich/Switzerland. Visit our country!

  4. There is a second solution:

    3270666

    1 1*2(2 is the next prime ) 2*3(3 is the next prime) 6*7(7 is the next prime)…

  5. Phil’s answer is the same answer…

    n * (n+1) = (n*n) + n

    NO DIFERENCE !!!

    POLO from Buenos Aires - Argentina

    ++

  6. Why does it begin with 1?
    To my opinion it should start with 0!
    0=0*(0+1)

  7. Hi together from Germany!
    I got it from my colleague this afternoon… -nice thing on a Friday afternoon :-) My colleague found the solution on the web, that’s why I am looking for what he found :-)

    @ Phil: 4 minutes??? Oh my… -What did you need all the time for? How’s this: 1 minute! (No kidding and not showing off!)
    …And I am not “in training” anymore… out of school for more than 20 years already :D
    Take care!
    Linda

  8. 1 2 6 42 1806 3263442

  9. because 1 2 (2×3) (6×7) (42×43) (1806×1807)

  10. i only found 2940042 :(
    12/(1+1)=6
    126/(2+1)=42
    12642/(6+1)=1806
    126421806/(42+1)=2940042
    Strange

  11. 1-2(2×3)(6×7)(42×43)(1806×1807)=3263442

  12. They say, you need an IQ of 120 or higher to solve this… I needed about one minute solve it. Temptation to look it up on the internet was strong, but I did it only afterwards.:-)

  13. m=1
    m*(m+1) т.е. 1*(1+1)=2; 2*(2+1)=6 и тд

    или

    (m^2)+m т.е. 1^2+1=2; 2^2+2=6; 6^2+6=42; 42^2+42=1807

  14. Sebi apparently only took one minute to solve this.

    We’ll I can beat that, because it only took me a total of a few seconds (to type it into Google and find the answer).

    Yeah I’m lazy - or stupid.
    Possibly both.

  15. see the trend…1×1=1
    1×2=2
    2×3=6
    6×7=42
    42×43=1806
    1806×1807=3263442
    answer= each result times 1 plus itself gives you the next number…

  16. er…Daniel your alternate solution is wrong.
    You seem to forget that 5 is a prime number as well.

    following your solution the series should have been:

    1,2,6,30,210,2310,30030….and so on…

    no idea how you came up with 3270666.

  17. Necromorph,

    Daniel meant a prime next to the previous row member.

  18. Next prime number:
    Next to the last number. 5 less than six, so 7 is
    correct. :)

    U

  19. Darn it…everybody is googling the answers..I was pointed here by a friend who said he solved it in 30 secs…:) by googling it.

    Without any help..took me less than 10 seconds to get the answer..only to find out everyone is googling it ..heheh :)

  20. Im 14 years old, i got the solution x*2x x ie 1×1+1, 2×2+2 etc,
    but the an a leveller maths student got X+1 x X, which also works. which is it?

  21. FOR STU - you’r not the only one to google it :)))))))) fast and easy :)))))))))

  22. Allmighty Google! 10sec! :-)))

  23. 1×1=1=+1=2
    2×2=4=2=6
    6×6=36=6=42×42=1764=42=1806
    1806×18096=3261636=1806=3263442

  24. 1×1=1=+1=2
    2×2=4=2=6
    6×6=36=6=42×42=1764=42=1806
    1806×18096=3261636=1806=3263442

    holy mother of god. You need some math lessons. because you just said that 1=2 and 4 = 2 = 6. (they seem to be different numbers to me lol)

  25. i did it in 20 seconds (without google!). it took me 5 more to calculate the final number - i was on the phone at that moment.

  26. #
    DCDude Says:
    April 23rd, 2009 at 5:48 pm

    Darn it…everybody is googling the answers..I was pointed here by a friend who said he solved it in 30 secs…:) by googling it.

    Without any help..took me less than 10 seconds to get the answer..only to find out everyone is googling it ..heheh :)

    —> fucking lier. cant read the text in 10 secs. i solved it in 20 sec+ 15-30sec while i typed it in to the calculator.

  27. Hi guys,

    got it by email, solved in less than a minute.
    I guess I was lucky.
    Got the same approach than Phil ;o)

    BTW, no google but the calculator for the last one !
    Lazy boy…

    Sometime, Sudoku at level 1 are more difficult than level 3.
    Why so ???

    I got it fast this time but might be stuck to simplier one next time (ok, this one wasn’t so so difficult ;o)

    Have a nice week-end to all !

  28. You are all virgins. get a life

  29. Whp Cares, all I want is next weeks Lotto Numbers::::

  30. hey, did you now that people which find this sokution have à IQ higher than 120 ?

  31. Googling it doesn’t solve the maths problem, it only solves the problem of where to locate an answer that you hope is right. Of course if you have not had the pleasure of solving it mathematically yourself, you can never really be confident of the answer spoon fed to you by Google

  32. Steve Elbert Says:

    If you add 1 to each number you get Sylvester’s sequence, see http://en.wikipedia.org/wiki/Sylvester’s_sequence. The sum of the inverse of each number is one.
    1 = 1/2 + 1/3 + 1/7 + 1/43 + 1/1807 + …
    In mathematics this is called the greedy Egyptian version of 1. See the website for an explanation.

  33. LOL @ Stu…being “smart” or “intelligent” doesnt mean you know all the answers, just where to find them!!

    i did the same thing, i tried it for a little then said screw it and looked it up. so who’s to say.

  34. ben, there’s no evidence that IQ has any bearing on the ability to solve number sequence puzzles. Some people are very capable in that department and utterly useless in others - and vice versa. It’s not about ‘intelligence’, it’s about the ability to recognize patterns and logical groups.

    I find it hysterical that people here feel the need to brag about how quickly they solved the puzzle, though, which is why I will refrain from doing so. Wow, you’re all a pack of genii. Now get off the computer and attempt some realistic social interaction that does not involve you telling the other person how brilliant you think you are. It’s very unbecoming.

  35. Dont get the first 1.. Help
    :-S

  36. TRYING TO FIND RESULTS FOR IQ TEST. FIND THE 6th NUMBER IN SEQUENCE EG. 1,2,6,42,1806 ?????

  37. I may have missed it, but none of the above answers (obtained via thinking or by means of googling around)actually provides the means to generate the COMPLETE series in question from scratch (1, 2, 6, 42, 1806…). There is no way to justify including “1″, the first term, if one follows any of the answers posted above.

    There is a simple math expression that does generate the complete series, inlcluding its first term. The best thing about it is that it does not appear to have been posted anywhere where Goggle can find it. Drop me a line, ands I’ll be happy to share it.

  38. Hello!

    I found another right solution!

    This is the way I solve it:
    - You group all the previous number
    - You divide by the number that comes twice before
    - You multiply by the previous number

    Starting with 1,2, you have:
    12*1/2 = 6
    Next step: 1,2,6
    126*2/6 = 42
    Next step:1,2,6,42
    12642*6/42=1806

    And I get obviously another result for the next number:
    126421806*42/1806 = 2940042

  39. i’m 16, did this in approx. 5 mins…
    now to really prove something; i have an active social life & i’m not a virgin!! :D so fuck youse :)

  40. It was too easy! Solution is:
    1×1=1=+1=2
    2×2=4=2=6
    6×6=36=6=42×42=1764=42=1806
    1806×18096=3261636=1806=3263442

    But I think this question is not enough to test our IQ level :)

  41. mates im 12 and it only took me 4 min 2 work out so i dont no y your googleing it. its sad 2 try trick your mates by sayin u can work it when all u did was dos it make u fell hapy when u lie to your mates

  42. I agree with Utku’s solution and the answer I got was
    4,263,442. Each number was multiplied by the next number up in sequence.

    June age 79,

  43. Hey guys,
    They say that it takes a quantity surveyor 30 secs to figure out, an engineer 1 hour, and a doctor 6 hours.
    I dont know if thats true or not, but I got around 1 minute using logic as opposed to maths, but basic mathematical knowledge is required.

  44. I am 7 and i solve it in 90 seconds.

  45. all those who googled it are the real smart people out there the rest of you are merely lucky or working with calculators, in any case the real leaders don’t reinvent the wheel, they research and think out side the box….

    Well done googlers!

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