Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2012-12-28 23:44:39

pellerinb
Member

Offline

primes in sum_(i=1)^N i^i

As far as the first 20,000 numbers, there are only 5 primes discovered in this sequence:

{1, 5, 32, 288, 3413, 50069, 873612, 17650828, 405071317, 10405071317, 295716741928, 9211817190184, 312086923782437, 11424093749340453, 449317984130199828, 18896062057839751444, 846136323944176515621, 40192544399240714091045, 2018612200059554303215024, 106876212200059554303215024, 5949463230586042075684339445, 347377340594805599472331063029, 21227845340442717633827363973596, 1354963622190726842082908836817372, 90172805592203250075973442284082997, 6246292385799360560872647730684286773, 449672780628837130509122278349834179576, 33595195893882211993081850531714439992312, 2601281349055093346554910065262730566475781, 208492413443704093346554910065262730566475781,...}

I just thought this is interesting to others :)


Prime numbers have got to be the neatest things; they are like atoms. Composites are two or more primes held together by multiplication.
In biology, we use math like we know what we are talking about. Sad isn't it.
 

Board footer

Powered by FluxBB