After my futile attempt to take GLAT, I looked up some of the sequences and found pretty comprehensive solutions on Mathworld. It's one of my favourite resources when working on a statistics / mathematical problem. They like to mention two interesting facts:

- Minutes after posting of the puzzle on their website (the first 10-digit prime number occurring in consecutive digits of
*e*) Wolfram Research CEO Stephen Wolfram sent the solution as a single line of*Mathematica*code:`Select[FromDigits/@Partition[First[RealDigits[E,10,1000]],10,1],PrimeQ,1]`

{7427466391}

and

- Sergey Brin, President of Technology at google.com. What they may not know is that before cofounding the precursor to Google in 1998 and subsequently becoming a multibillionaire, Brin was an intern at Wolfram Research (makers of
*Mathematica*, as well as sponsors of*MathWorld*).

In the response to ones favourite mathematical equation, following were the author's favourites.

1. Archimedes' recurrence formula

2. Euler formula

3. Euler-Mascheroni constant

4. Riemann hypothesis

5. Gaussian integral

6. Ramanujan's prime product formula:

7. Zeta-regularized product

8. Mandelbrot set recursion

9. BBP formula

10. Cauchy integral formula

My favourite is tie between Euler's formula and Mandelbrot's set. What's yours?

Reference:

Daniel Z. Freedman's Some beautiful equations of mathematical physics.